Reports From: 2021-2003

2021


H. Du, C. Koutschan, T. Thanatipanonda, E. Wong

Binomial Determinants for Tiling Problems Yield to the Holonomic Ansatz

Report No. 2021-26

J. Niebsch, R. Ramlau

Tomographic Reconstruction for Single Conjugate Adaptive Optics

Report No. 2021-25

H. Fujiwara, K. Sadiq, A. Tamasan

A source reconstruction method in two dimensional radiative transport using boundary data measured on an arc

Report No. 2021-24

H. Fujiwara, K. Sadiq, A. Tamasan

Partial inversion of the 2d attenuated X-ray transform with data on an arc

Report No. 2021-23

S. Stevens, A. Warren

On sum sets of convex functions

Report No. 2021-22

A. Mohammadi, S. Stevens

Attaining the exponent 5/4 for the sum-product problem in finite fields

Report No. 2021-21

A. Mohammadi, S. Stevens

Low-energy decomposition results over finite fields

Report No. 2021-20

O. Roche-Newton, A. Warren

Additive and multiplicative Sidon sets

Report No. 2021-19

O. Roche-Newton

Sums, products and dilates on sparse graphs

Report No. 2021-18

E.R. Gizewski, L. Mayer, B.A. Moser, D.H. Nguyen, S. Pereverzyev Jr, S.V. Pereverzyev, N. Shepeleva, W. Zellinger

On a regularization of unsupervised domain adaptation in RKHS

Report No. 2021-17

U. Langer, O. Steinbach, F. Tröltzsch, H. Yang

Space-time finite element methods for the initial temperature reconstruction

Report No. 2021-16

P. Grohs, L. Herrmann

Deep neural network approximation for high-dimensional parabolic Hamilton-Jacobi-Bellman equations

Report No. 2021-15

R. Schneckenleitner, S. Takacs

IETI-DP for conforming multi-patch Isogeometric Analysis in three dimensions

Report No. 2021-14

H. Harbrecht, L. Herrmann, K. Kirchner, C. Schwab

Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction

Report No. 2021-13

R. Schneckenleitner, S. Takacs

Towards a IETI-DP solver on non-matching multi-patch domains

Report No. 2021-12

T. Danczul, C. Hofreither

On Rational Krylov and Reduced Basis Methods for Fractional Diffusion

Report No. 2021-11

L. Rondi, E. Sincich, M. Sini

Stable determination of a rigid scatterer in elastodynamics

Report No. 2021-10

M. Sini, H. Wang, Q. Yao

Analysis of the acoustic waves reflected by a cluster of small holes in the time-domain and the equivalent mass density

Report No. 2021-9

A. Bouzekri, M. Sini

Mesoscale Approximation of the Electromagnetic Fields

Report No. 2021-8

F. Scholz, B. Jüttler

Parameterization for Polynomial Curve Approximation via Residual Deep Neural Networks

Report No. 2021-7

U. Langer, O. Steinbach, H. Yang

Robust discretization and solvers for elliptic optimal control problems with energy regularization

Report No. 2021-6

A. Ebert, F. Pillichshammer

Tractability of approximation in the weighted Korobov space in the worst-case setting – a complete picture

Report No. 2021-5

A. Ebert, P. Kritzer, O. Osisiogu, T. Stepaniuk

Construction of good polynomial lattice rules in weighted Walsh spaces by an alternative component-by-component construction

Report No. 2021-4

L. Herrmann, J.A.A. Opschoor, C. Schwab

Constructive Deep ReLU Neural Network Approximation

Report No. 2021-3

R. Dougherty-Bliss, C. Koutschan, D. Zeilberger

Tweaking the Beukers Integrals In Search of More Miraculous Irrationality Proofs À La Apéry

Report No. 2021-2

C. Koutschan, I. Kotsireas

Legendre pairs of lengths $\ell\equiv0\,(\mathrm{mod}\;3)$

Report No. 2021-1

2020


K.-A. Mardal, J. Sogn, S. Takacs

Robust preconditioning and error estimates for optimal control of the convection-diffusion-reaction equation with limited observation in Isogeometric Analysis

Report No. 2020-46

J.A. Iglesias, S. Nakov

Weak formulations of the nonlinear Poisson-Boltzmann equation in biomolecular electrostatics

Report No. 2020-45

C. Koutschan

Holonomic Anti-Differentiation and Feynman Amplitudes

Report No. 2020-44

C. Koutschan, E. Wong

Creative Telescoping on Multiple Sums

Report No. 2020-43

O. Roche-Newton, A. Warren

Counting k-arcs in $\mathbb F_q^ 2$

Report No. 2020-42

B. Hanson, O. Roche-Newton, M. Rudnev

Higher convexity and iterated sum sets

Report No. 2020-41

M. Makhul, O. Roche-Newton, S. Stevens, A. Warren

The Elekes-Szabó Problem and the Uniformity Conjecture

Report No. 2020-40

M. Rudnev, S. Stevens

An update on the sum-product problem

Report No. 2020-39

J.A. Iglesias

Symmetry and scaling limits for matching of implicit surfaces based on thin shell energies

Report No. 2020-38

C. Hofreither

An algorithm for best rational approximation based on barycentric rational interpolation

Report No. 2020-37

A. Ebert, P. Kritzer, O. Osisiogu, T. Stepaniuk

Component-by-component digit-by-digit construction of good polynomial lattice rules in weighted Walsh spaces

Report No. 2020-36

P. Grohs, L. Herrmann

Deep neural network approximation for high-dimensional elliptic PDEs with boundary conditions

Report No. 2020-35

U. Langer, M. Zank

Efficient Direct Space-Time Finite Element Solvers for Parabolic Initial-Boundary Value Problems in Anisotropic Sobolev Spaces

Report No. 2020-34

S.S. Rodrigues

Oblique projection output-based feedback exponential stabilization of nonautonomous parabolic equations

Report No. 2020-33

J.A. Iglesias, G. Mercier

Convergence of level sets in TV denoising through variational curvatures in unbounded domains

Report No. 2020-32

R. Chill, H. Meinlschmidt, J. Rehberg

On the numerical range of second order elliptic operators with mixed boundary conditions in $L^p$

Report No. 2020-31

F. Scholz, B. Jüttler

High-order quadrature on planar domains based on transport theorems for implicitly defined moving curves

Report No. 2020-30

R. Schneckenleitner, S. Takacs

Convergence theory for IETI-DP solvers for discontinuous Galerkin Isogeometric Analysis that is explicit in $h$ and $p$

Report No. 2020-29

D. Jodlbauer, U. Langer, T. Wick

Parallel matrix-free higher-order finite element solvers for phase-field fracture problems

Report No. 2020-28

U. Langer, O. Steinbach, F. Tröltzsch, H. Yang

Space-time finite element discretization of parabolic optimal control problems with energy regularization

Report No. 2020-27

U. Langer, O. Steinbach, F. Tröltzsch, H. Yang

Unstructured space-time finite element methods for optimal control of parabolic equations

Report No. 2020-26

J. Grošelj, M. Kapl, M. Knez, T. Takacs, V. Vitrih

A super-smooth $C^1$ spline space over mixed triangle and quadrilateral meshes

Report No. 2020-25

J. Wiart, E. Wong

Walsh functions, scrambled $(0, m, s)$-nets, and negative covariance: applying symbolic computation to quasi-Monte Carlo integration

Report No. 2020-24

M. Kolmbauer, G. Offner, R.U. Pfau, B. Pöchtrager

Multirate DAE-Simulation and its Application in System Simulation Software for the Development of Electric Vehicles

Report No. 2020-23

M. Kolmbauer, G. Offner, B. Pöchtrager

Topological index analysis and its application to multi-physical systems in system simulation software

Report No. 2020-22

U. Langer, O. Steinbach, F. Tröltzsch, H. Yang

Unstructured Space-Time Finite Element Methods for Optimal Sparse Control of Parabolic Equations

Report No. 2020-21

M. Kapl, G. Sangalli, T. Takacs

A family of $C^1$ quadrilateral finite elements

Report No. 2020-20

H. Meinlschmidt, J. Rehberg

Extrapolated elliptic regularity and application to the van Roosbroeck system of semiconductor equations

Report No. 2020-19

B. Endtmayer, U. Langer, T. Wick

Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering

Report No. 2020-18

M.J. Schlosser, K. Senapati, A.K. Uncu

Log-concavity results for a biparametric and an elliptic extension of the $q$-binomial coefficients

Report No. 2020-17

A.K. Uncu

A polynomial identity implying Schur’s partition theorem

Report No. 2020-16

A. Berkovich, A.K. Uncu

Where do the maximum absolute $q$-series coefficients of $(1-q)(1-q^2)(1-q^3)...(1-q^{n-1})(1-q^n)$ occur?

Report No. 2020-15

J. Ablinger, A.K. Uncu

qFunctions - A Mathematica package for $q$-series and partition theory applications

Report No. 2020-14

Y. Abdelaziz, S. Boukraa, C. Koutschan, J-M. Maillard

Diagonals of rational functions: from differential algebra to effective algebraic geometry

Report No. 2020-13

S.S. Rodrigues

Oblique projection exponential dynamical observer for nonautonomous linear parabolic-like equations

Report No. 2020-12

B. Azmi, S.S. Rodrigues

Oblique projection local feedback stabilization of nonautonomous semilinear damped wave-like equations

Report No. 2020-11

J.A. Iglesias, G. Mercier, E. Chaparian, I.A. Frigaard

Computing the Yield Limit in Three-dimensional Flows of a Yield Stress Fluid About a Settling Particle

Report No. 2020-10

M. Lopez-Martinez, G. Mercier, K. Sadiq, O. Scherzer, M. Schneider, J.C. Schotland, G.J. Schütz, R. Telschow

Inverse Problems of Single Molecule Localization Microscopy

Report No. 2020-9

H. Fujiwara, K. Sadiq, A. Tamasan

Numerical reconstruction of radiative sources in an absorbing and non-diffusing scattering medium in two dimensions

Report No. 2020-8

H. Du, J. Guo, Z. Li, E. Wong

An Additive Decomposition in Logarithmic Towers and Beyond

Report No. 2020-7

P. Kritzer, F. Pillichshammer, H. Wozniakowski

Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals

Report No. 2020-6

A. Warren

On Products of Shifts in Arbitrary Fields

Report No. 2020-5

P. Kritzer, F. Pillichshammer, G.W. Wasilkowski

On quasi-Monte Carlo methods in weighted ANOVA spaces

Report No. 2020-4

A.S. Serdyuk, T. Stepaniuk

Uniform approximations by Fourier sums on classes of convolutions of periodic functions

Report No. 2020-3

A. Ebert, P. Kritzer, D. Nuyens, O. Osisiogu

Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness

Report No. 2020-2

A. Beigl, J. Sogn, W. Zulehner

Robust preconditioners for multiple saddle point problems and applications to optimal control problems

Report No. 2020-1

2019


Y. Abdelaziz, C. Koutschan, J-M. Maillard

On Christol’s conjecture

Report No. 2019-35

C. Hofreither, L. Mitter, H. Speleers

Local multigrid solvers for adaptive Isogeometric Analysis in hierarchical spline spaces

Report No. 2019-34

L. Jiu, C. Koutschan

Calculation and Properties of Zonal Polynomials

Report No. 2019-33

G. Petridis, O. Roche-Newton, M. Rudnev, A. Warren

An Energy Bound in the Affine Group

Report No. 2019-32

R. Schneckenleitner, S. Takacs

Condition number bounds for IETI-DP methods that are explicit in $h$ and $p$

Report No. 2019-31

B. Endtmayer, U. Langer, J. P. Thiele, T. Wick

Hierarchical DWR Error Estimates for the Navier Stokes Equation: $h$ and $p$ Enrichment

Report No. 2019-30

M. Fischer, G. Jankowiak, M.T. Wolfram

Crowding and queuing at exits and bottlenecks

Report No. 2019-29

Y. Abdelaziz, S. Boukraa, C. Koutschan, J-M. Maillard

Heun functions and diagonals of rational functions

Report No. 2019-28

H. Meinlschmidt, C. Meyer, S. Walter

Optimal Control of an Abstract Evolution Variational Inequality with Application to Homogenized Plasticity

Report No. 2019-27

M. Makhul

On the number of perfect triangles with a fixed angle

Report No. 2019-26

A.S. Serdyuk, T. Stepaniuk

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals

Report No. 2019-25

H. Fujiwara, K. Sadiq, A. Tamasan

A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium

Report No. 2019-24

P. Kritzer, F. Pillichshammer, L. Plaskota, G.W. Wasilkowski

On alternative quantization for doubly weighted approximation and integration over unbounded domains

Report No. 2019-23

O. Roche-Newton, A. Warren

New Expander Bounds from Affine Group Energy

Report No. 2019-22

C. Pohoata, O. Roche-Newton

Four-term progression free sets with three-term progressions in all large subsets

Report No. 2019-21

S. Pereverzyev, S.G. Solodky, V.B.Vasylyk, M.Zic

Regularized Collocation in Distribution of Diffusion Times applied to Electrochemical Impedance Spectroscopy

Report No. 2019-20

R. Ke, R. Wagner, R. Ramlau, R. Chan

Reconstruction of the high resolution phase in a closed loop adaptive optics system

Report No. 2019-19

M. Krasnoschok, S. Pereverzyev, S.V. Siryk, N. Vasylyeva

Determination of the fractional order in quasilinear subdiffusion equations

Report No. 2019-17

C. Koutschan, E. Wong

Exact lower bounds for monochromatic Schur triples and generalizations

Report No. 2019-16

S. Takacs

Fast multigrid solvers for conforming and non-conforming multi-patch Isogeometric Analysis

Report No. 2019-15

I. Georgieva, S. Harizanov, C. Hofreither

Iterative Low-rank Approximation Solvers for the Extension Method for Fractional Diffusion

Report No. 2019-14

Y. Ding, F.J. Hickernell, P. Kritzer, S. Mak

Adaptive approximation for multivariate linear problems with inputs lying in a cone

Report No. 2019-13

C. Hofreither

A Unified View of Some Numerical Methods for Fractional Diffusion

Report No. 2019-12

J. Wiart, C. Lemieux

On the dependence structure of scrambled $(t,m,s)$-nets

Report No. 2019-11

R. Chapko, L. Mindrinos

On the Non-Linear Integral Equation Approach for an Inverse Boundary Value Problem for the Heat Equation

Report No. 2019-10

K. Kunisch, H. Meinlschmidt

Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints

Report No. 2019-9

H. Meinlschmidt, C. Meyer, J. Rehberg

Regularization for optimal control problems associated to nonlinear evolution equations

Report No. 2019-8

B. Endtmayer, U. Langer, I. Neitzel, T. Wick, W. Wollner

Multigoal-oriented optimal control problems with nonlinear PDE constraints

Report No. 2019-7

D. Jodlbauer, U. Langer, T. Wick

Matrix-free multigrid solvers for phase-field fracture problems

Report No. 2019-6

M. Krasnoschok, S. Pereverzyev, S.V. Siryk, N. Vasylyeva

Regularized reconstruction of the order in semilinear subdiffusion with memory

Report No. 2019-5

T. Stepaniuk

Order estimates of best orthogonal trigonometric approximations of classes of infinitely differentiable functions

Report No. 2019-4

T. Stepaniuk

Hyperuniform point sets on flat tori: deterministic and probabilistic aspects

Report No. 2019-3

S. Takacs

A quasi-robust discretization error estimate for discontinuous Galerkin Isogeometric Analysis

Report No. 2019-2

A. Ebert, P. Kritzer, D. Nuyens

Constructing QMC finite element methods for elliptic PDEs with random coefficients by a reduced CBC construction

Report No. 2019-1

2018


K. Kunisch, S.S. Rodrigues

Oblique Projection Based Stabilizing Feedback for Nonautonomous Coupled Parabolic-ODE Systems

Report No. 2018-40

P. Kritzer, F. Pillichshammer, L. Plaskota, G.W. Wasilkowski

On efficient weighted integration via a change of variables

Report No. 2018-39

A-K. Baum, M. Kolmbauer, G. Offner, B. Pöchtrager

Topological solvability and DAE-index conditions for types of black-box models coupled to liquid flow networks via boundary conditions

Report No. 2018-38

O. Roche-Newton, I.D. Shkredov

If A+A is small then AAA is superquadratic

Report No. 2018-37

O. Roche-Newton

An Improved Bound for the Size of the Set A/A + A

Report No. 2018-36

M. Makhul, O. Roche-Newton, A. Warren, F. De Zeeuw

Constructions for the Elekes–Szabó and Elekes–Rónyai Problems

Report No. 2018-35

J.A. Iglesias, G. Mercier

Influence of dimension on the convergence of level-sets in total variation regularization

Report No. 2018-34

A.F.M. ter Elst, H. Meinlschmidt, J. Rehberg

$L^\infty$-estimates for the Neumann problem on general domains

Report No. 2018-33

B. Endtmayer, U. Langer, T. Wick

Two-side a posteriori error estimates for the DWR method

Report No. 2018-32

F.J. Hickernell, P. Kritzer, H. Wozniakowski

Exponential tractability of linear tensor product problems

Report No. 2018-31

U. Langer, H. Yang

BDDC preconditioners for a space-time finite element discretization of parabolic problems

Report No. 2018-30

R. Ramlau, C. Koutschan, B. Hofmann

On the Singular Value Decomposition of N-Fold Integration Operators

Report No. 2018-29

K. Kumar, S. Matculevich, J.M. Nordbotten, S. Repin

Guaranteed and computable bounds of errors for semi-discrete approximations of the Biot problem

Report No. 2018-28

R. Chapko, B.T. Johansson, L. Mindrinos

On a boundary integral solution of a lateral planar Cauchy problem in elastodynamics

Report No. 2018-27

M. Makhul, J. Schicho

An application of Bertini theorem

Report No. 2018-26

H. Mhaskar, S. Pereverzyev, V.Y. Semenov, E.V. Semenova

Data based construction of kernels for semi-supervised learning with less labels

Report No. 2018-25

C. Kirisits, O. Scherzer, E. Setterqvist

Invariant $\varphi$-minimal sets and total variation denoising on graphs

Report No. 2018-24

U. Langer, S. Matculevich, S. Repin

Adaptive Space-Time Isogeometric Analysis for Parabolic Evolution Problems

Report No. 2018-23

Mark Žic

Optimizing noisy CNLS problems by using the adaptive Nelder-Mead algorithm: A new approach to escape from local minima

Report No. 2018-22

P. Kritzer, H. Wozniakowski

Notes on tractability conditions for linear multivariate problems

Report No. 2018-21

O. Roche-Newton, A. Warren

Improved Bounds for Pencils of Lines

Report No. 2018-20

B. Hanson, O. Roche-Newton, D. Zhelezov

On iterated product sets with shifts II

Report No. 2018-19

B. Hanson, O. Roche-Newton, D. Zhelezov

On iterated product sets with shifts

Report No. 2018-18

O. Roche-Newton, I.Z. Ruzsa, C.Y. Shen, I.D. Shkredov

On the size of the set AA+A

Report No. 2018-17

M. Žic, S. Pereverzyev Jr.

Adaptive multi-parameter regularization in electrochemical impedance spectroscopy

Report No. 2018-16

R. Ramlau, L. Reichel

Error Estimates for Arnoldi–Tikhonov Regularization for Ill-Posed Operator Equations

Report No. 2018-15

Y. Abdelaziz, S. Boukraa, C. Koutschan, J-M. Maillard

Diagonals of rational functions, pullbacked 2F1 hypergeometric functions and modular forms

Report No. 2018-14

M. Makhul

A family of four-variable expanders with quadratic growth

Report No. 2018-13

M.E. Alonso, F.J. Castro-Jiménez, H. Hauser, C. Koutschan

Echelons of power series and Gabrielov’s counterexample to nested linear Artin Approximation

Report No. 2018-12

F. Scholz, A. Mantzaflaris, B. Jüttler

First order error correction for trimmed quadrature in isogeometric analysis

Report No. 2018-11

C. Hofer, S. Takacs

A parallel multigrid solver for multi-patch Isogeometric Analysis

Report No. 2018-10

A. Ebert, P. Kritzer

Constructing lattice points for numerical integration by a reduced fast successive coordinate search algorithm

Report No. 2018-9

B. Endtmayer, U. Langer, T. Wick

Multigoal-Oriented Error Estimates for Non-linear Problems

Report No. 2018-8

N.T. Vo, S. Falkensteiner, Y. Zhang

Formal Power Series Solutions of Algebraic Ordinary Differential Equations

Report No. 2018-7

T. Guo, C. Krattenthaler, Y. Zhang

On (shape-)Wilf-equivalence for words

Report No. 2018-6

J.A. Iglesias, G. Mercier, O. Scherzer

Critical yield numbers and limiting yield surfaces of particle arrays settling in a Bingham fluid

Report No. 2018-5

C. Kirisits, O. Scherzer

A range condition for polyconvex variational regularization

Report No. 2018-4

J. Sogn, S. Takacs

Robust multigrid solvers for the biharmonic problem in isogeometric analysis

Report No. 2018-3

R. Haller-Dintelmann, W. Wollner, H. Meinlschmidt

Higher regularity for solutions to elliptic systems in divergence form subject to mixed boundary conditions

Report No. 2018-2

D. Jodlbauer, U. Langer, T. Wick

Parallel Block-Preconditioned Monolithic Solvers for Fluid-Structure-Interaction Problems

Report No. 2018-1

2017


C. Koutschan, Y. Zhang

Desingularization in the $q$-Weyl algebra

Report No. 2017-47

R. Wagner, C. Hofer, R. Ramlau

Point spread function reconstruction for Single-conjugate Adaptive Optics

Report No. 2017-46

P. Kritzer, G. Leobacher, M. Szölgyenyi, S. Thonhauser

Approximation methods for piecewise deterministic Markov processes and their costs

Report No. 2017-45

K. Kunisch, S.S. Rodrigues

Exponential Stabilization of Nonautonomous Linear Parabolic-Like Systems by a Finite Number of Locally Supported Actuators

Report No. 2017-44

U. Langer, S. Matculevich, S. Repin

Guaranteed error control bounds for the stabilised space-time IgA approximations to parabolic problems

Report No. 2017-43

J. Middeke, D.J. Jeffrey, C. Koutschan

Common Factors in Fraction-Free Matrix Decompositions

Report No. 2017-42

K. Sadiq, A. Tamasan

Partial inversion of the 2D attenuated Radon transform with data on an arc

Report No. 2017-41

M. Makhul, J. Schicho, M. Gallet

Probabilities of incidence between lines and a plane curve over finite fields

Report No. 2017-40

J.A. Iglesias, G. Mercier, O. Scherzer

A note on convergence of solutions of total variation regularized linear inverse problems

Report No. 2017-39

M. Hefter, A. Herzwurm, T. Müller-Gronbach

Lower error bounds for strong approximation of scalar SDEs with non-Lipschitzian coefficients

Report No. 2017-38

D. Amann, K. Kalimeris

Numerical approximation of water waves through a deterministic algorithm

Report No. 2017-37

M. Gallet, J. Schicho

Counting Projections of Rational Curves

Report No. 2017-36

G. Grasegger, C. Koutschan, E. Tsigaridas

Lower bounds on the number of realizations of rigid graphs

Report No. 2017-35

J.A. Iglesias, K. Sturm, F. Wechsung

Shape optimisation with nearly conformal transformations

Report No. 2017-34

N.T. Vo, Y. Zhang

Laurent Series Solutions of Algebraic Ordinary Differential Equations

Report No. 2017-33

S. Takacs

Robust approximation error estimates and multigrid solvers for isogeometric multi-patch discretizations

Report No. 2017-32

P. Kritzer, F. Pillichshammer, G.W. Wasilkowski

Truncation in average and worst case settings for special classes of $\infty$-variate functions

Report No. 2017-31

C. Koutschan, T. Thanatipanonda

A Curious Family of Binomial Determinants That Count Rhombus Tilings of a Holey Hexagon

Report No. 2017-30

A-K. Baum, M. Kolmbauer, G. Offner

Topological index analysis applied to coupled flow networks

Report No. 2017-29

K. Kalimeris

Analytical approximation and numerical simulations for periodic travelling water waves

Report No. 2017-28

L. Dykes, R. Ramlau, L. Reichel, K.M. Soodhalter, R. Wagner

Lanczos-based fast blind deconvolution methods

Report No. 2017-27

C. Hofer, U. Langer, M. Neumüller, I. Toulopoulos

Time-Multipatch Discontinuous Galerkin Space-Time Isogeometric Analysis of Parabolic Evolution Problems

Report No. 2017-26

Z. Rao

A dynamic programming approach for $L^0$ optimal control design

Report No. 2017-25

S. Matculevich

Functional approach to the error control in adaptive IgA schemes for elliptic boundary value problems

Report No. 2017-24

P. Kritzer, F.Y. Kuo, D. Nuyens, M. Ullrich

Lattice rules with random $n$ achieve nearly the optimal $\mathcal{O}(n^{-\alpha-1/2})$ error independently of the dimension

Report No. 2017-23

A. Beigl, P. Elbau, O. Scherzer, K. Sadiq

Quantitative Photoacoustic Imaging in the Acoustic Regime using SPIM

Report No. 2017-22

A. Mantzaflaris, E. Tsigaridas

Resultants and Discriminants for Bivariate Tensor-product Polynomials

Report No. 2017-21

A. Mantzaflaris, E. Schost, E. Tsigaridas

Sparse Rational Univariate Representation

Report No. 2017-20

I. Toulopoulos

Bubble stabilized space-time finite element methods of parabolic evolution problems

Report No. 2017-19

U. Langer, M. Neumüller, I. Toulopoulos

Multipatch Space-Time Isogeometric Analysis of Parabolic Diffusion Problems

Report No. 2017-18

A. Paganini, K. Sturm

Weakly-normal basis vector fields in RKHS with an application to shape Newton methods

Report No. 2017-17

C. Hofer, U. Langer, S. Takacs

Inexact Dual-Primal Isogeometric Tearing and Interconnecting Methods

Report No. 2017-16

S. Takacs

Robust multigrid methods for isogeometric discretizations of the Stokes equations

Report No. 2017-15

U. Langer, S. Matculevich, S. Repin

Functional type error control for stabilised space-time IgA approximations to parabolic problems

Report No. 2017-14

S. Chen, M. Kauers, Z. Li, Y. Zhang

Apparent Singularities of D-finite Systems

Report No. 2017-13

T. Cluzeau, C. Koutschan, A. Quadrat, M. Tõnso

Effective algebraic analysis approach to linear systems over Ore algebras

Report No. 2017-12

D. Ghilli, Z. Rao, H. Zidani

Junction conditions for finite horizon optimal control problems on multi-domains with continuous and discontinuous solutions

Report No. 2017-11

S. Hittmeir, H. Ranetbauer, C. Schmeiser, M.T. Wolfram

Derivation and analysis of continuum models for crossing pedestrian traffic

Report No. 2017-10

D. Amann, K. Kalimeris

A numerical continuation approach for computing water waves of large wave height

Report No. 2017-9

A. S. Fokas, K. Kalimeris

Water waves with moving boundaries

Report No. 2017-8

C. Hofer, I. Toulopoulos

Discontinuous Galerkin Isogeometric Analysis for parametrizations with overlapping regions

Report No. 2017-7

R. Wagner, A. Neubauer, R. Ramlau

Simulation results for a Finite Element based Cumulative Reconstructor

Report No. 2017-6

D. Kalise, K. Kunisch

Polynomial approximation of high-dimensional Hamilton-Jacobi-Bellman equations and applications to feedback control of semilinear parabolic PDEs

Report No. 2017-5

A. Hinrichs, P. Kritzer, F. Pillichshammer, G. Wasilkowski

Truncation dimension for linear problems on multivariate function spaces

Report No. 2017-4

J. Capco, M. Gallet, G. Grasegger, C. Koutschan, N. Lubbes, J. Schicho

The number of realizations of a Laman graph

Report No. 2017-3

P. Kritzer, H. Laimer, F. Pillichshammer

Tractability of $\mathbb{L}_2$-approximation in hybrid function spaces

Report No. 2017-2

R. Kritzinger, H. Laimer, M. Neumüller

A reduced fast construction of polynomial lattice point sets with low weighted star discrepancy

Report No. 2017-1

2016


S. Hittmeir, H. Ranetbauer, C. Schmeiser, M.T. Wolfram

On a nonlinear PDE model for intersecting pedestrian flows

Report No. 2016-41

C. Kirisits, O. Scherzer

Convergence rates for regularization functionals with polyconvex integrands

Report No. 2016-40

S. Chen, M. van Hoeij, M. Kauers, C. Koutschan

Reduction-Based Creative Telescoping for Fuchsian D-finite Functions

Report No. 2016-39

S. Lu, P. Mathé, S. Pereverzyev

Balancing principle in supervised learning for a general regularization scheme

Report No. 2016-38

B. Jüttler, S.K. Kleiss

Coupling Adaptively Refined Multi-patch Spline Discretizations via Boundary Compatibility

Report No. 2016-37

A. Festa, A. Tosin, M.T. Wolfram

Kinetic description of collision avoidance in pedestrian crowds by sidestepping

Report No. 2016-36

U. Langer, H. Yang

Recent development of robust monolithic fluid-structure interaction solvers

Report No. 2016-35

P. Kritzer, H. Niederreiter, F. Pillichshammer

Ian Sloan and Lattice Rules

Report No. 2016-34

A-K. Baum, M. Kolmbauer, G. Offner

Topological solvability and DAE-index conditions for mass flow controlled pumps in liquid flow networks

Report No. 2016-33

P.A. Markowich, J. Teichmann, M.T. Wolfram

Parabolic free boundary price formation models under market size fluctuations

Report No. 2016-32

M. Burger, A. Lorz, M.T. Wolfram

On a Boltzmann mean field model for knowledge growth

Report No. 2016-31

J. Carrillo, S. Martin, M.T. Wolfram

A local version of the Hughes model for pedestrian flow

Report No. 2016-30

L. M. Briceno-Arias, D. Kalise, F. J. Silva

Proximal methods for stationary Mean Field Games with local couplings

Report No. 2016-29

J. Dick, C. Irrgeher, G. Leobacher, F. Pillichshammer

On the optimal order of integration in Hermite spaces with finite smoothness

Report No. 2016-28

C. Hofreither, S. Takacs

Robust multigrid for isogeometric analysis based on stable splittings of spline spaces

Report No. 2016-27

M. Bruna, M. Burger, H. Ranetbauer, M-T. Wolfram

Cross-diffusion systems with excluded-volume effects and asymptotic gradient flow structures

Report No. 2016-26

G. Albi, Y. Choi, M. Fornasier, D. Kalise

Mean field control hierarchy

Report No. 2016-25

I.A. Frigaard, J.A. Iglesias, G. Mercier, C. Pöschl, O. Scherzer

Critical yield numbers of rigid particles settling in Bingham fluids and Cheeger sets

Report No. 2016-24

C. Hofer, U. Langer, I. Toulopoulos

Discontinuous Galerkin Isogeometric Analysis on Non-matching Segmentation: Error Estimates and Efficient Solvers

Report No. 2016-23

A. Mantzaflaris, B. Jüttler, B. Khoromskij, U. Langer

Low Rank Tensor Methods in Galerkin-based Isogeometric Analysis

Report No. 2016-22

G. Mercier, M. Novaga, P. Pozzi

Anisotropic curvature flow of immersed curves

Report No. 2016-21

C. Pechstein, C.R. Dohrmann

A Unified Framework for Adaptive BDDC

Report No. 2016-20

J.A. Carrillo, H. Ranetbauer, M-T. Wolfram

Numerical simulation of nonlinear continuity equations by evolving diffeomorphisms

Report No. 2016-19

P. Kritzer, F. Pillichshammer, G. W. Wasilkowski

Truncation dimension for function approximation

Report No. 2016-18

I.Z. Emiris, A. Mantzaflaris, E. Tsigaridas

On the Bit Complexity of Solving Bilinear Polynomial Systems

Report No. 2016-17

A. Mantzaflaris, H. Rahkooy, Z. Zafeirakopoulos

Efficient Computation of Dual Space and Directional Multiplicity of an Isolated Point

Report No. 2016-16

S. Chen, M. Kauers, C. Koutschan

Reduction-Based Creative Telescoping for Algebraic Functions

Report No. 2016-15

F. Camilli, A. Festa, S. Tozza

A discrete Hughes' model for pedestrian flow on graphs

Report No. 2016-14

T. Wick

An error-oriented Newton/inexact augmented Lagrangian approach for fully monolithic phase-field fracture propagation

Report No. 2016-13

T. Wick

Variational-monolithic ALE fluid-structure interaction: Comparison of computational cost and mesh regularity using different mesh motion techniques

Report No. 2016-12

I. Toulopoulos, T. Wick

Numerical methods for power-law diffusion problems

Report No. 2016-11

S. Engleder

Preconditioners for linear systems arising from the finite volume discretization of the incompressible Navier-Stokes equations

Report No. 2016-10

P. Mathé, S. Pereverzyev

Complexity of linear ill-posed problems in Hilbert space

Report No. 2016-9

D. Kalise, K. Kunisch, Z. Rao

Infinite horizon sparse optimal control

Report No. 2016-8

C. Koutschan, P. Paule

Holonomic Tools for Basic Hypergeometric Functions

Report No. 2016-7

P. Tkachenko, G. Kriukova, M. Aleksandrova, O. Chertov, E. Renard, S. Pereverzyev

Prediction of Nocturnal Hypoglycemia by an aggregation of previously known prediction approaches: Proof of concept for clinical application

Report No. 2016-6

C. Siriteanu, A. Takemura, C. Koutschan, S. Kuriki, D. St. P. Richards, H. Shin

Exact ZF Analysis and Computer-Algebra-Aided Evaluation in Rank-1 LoS Rician Fading

Report No. 2016-5

P. Kritzer, F. Pillichshammer, H. Wozniakowski

L<sub>&infin;</sub>-approximation in Korobov spaces with Exponential Weights

Report No. 2016-4

S. Hassani, C. Koutschan, J-M. Maillard, N. Zenine

Lattice Green Functions: the d-dimensional face-centred cubic lattice, d=8,9,10,11,12

Report No. 2016-3

E. Carlini, A. Festa, F.J. Silva, M-T. Wolfram

A Semi-Lagrangian scheme for a modified version of the Hughes model for pedestrian flow

Report No. 2016-2

C. Koutschan, M. Neumüller, S. Radu

Inverse Inequality Estimates with Symbolic Computation

Report No. 2016-1

2015


H. Laimer

On combined component-by-component constructions of lattice point sets

Report No. 2015-51

C. Hofer, U. Langer

Dual-Primal Isogeometric Tearing and Interconnecting solvers for multipatch dG-IgA equations

Report No. 2015-50

R. Guglielmi

Indirect stabilization of hyperbolic systems through resolvent estimates

Report No. 2015-49

T. Wick

Goal functional evaluations for phase-field fracture using PUM-based DWR mesh adaptivity

Report No. 2015-47

C. Hofer, I. Toulopoulos

Discontinuous Galerkin Isogeometric Analysis of Elliptic Problems on Segmentations with Non-Matching Interfaces

Report No. 2015-46

P. Kritzer, F. Pillichshammer, G.W. Wasilkowski

On Equivalence of Anchored and ANOVA Spaces; Lower Bounds

Report No. 2015-45

C. Hofer, U. Langer

Dual-Primal Isogeometric Tearing and Interconnecting Solvers for large-scale systems of multipatch continuous Galerkin IgA equations

Report No. 2015-44

T. Wick

Coupling fluid-structure interaction with phase-field fracture

Report No. 2015-43

C. Irrgeher, P. Kritzer, F. Pillichshammer

Integration and approximation in cosine spaces of smooth functions

Report No. 2015-42

T. Breiten, K. Kunisch, S.S. Rodrigues

Feedback Stabilization to Non-Stationary Solutions of a Class of Reaction Diffusion Equations of Fitzhugh-Nagumo Type

Report No. 2015-41

C. Hofer, U. Langer, I. Toulopoulos

Discontinuous Galerkin Isogeometric Analysis of Elliptic Problems on Non-matching Interfaces

Report No. 2015-40

J.A. Iglesias, C. Kirisits

Convective regularization for optical flow

Report No. 2015-39

L. Neumann, C. Schmeiser

A kinetic reaction model: decay to equilibrium and macroscopic limit

Report No. 2015-38

C. Schmeiser, C. Winkler

A Finite Elemente Method for Cell Membranes with Tethered Obstacles

Report No. 2015-37

S. Hirsch, D. Oelz, C. Schmeiser

Existence and uniqueness of solutions for a model of non-sarcomeric actomyosin bundles

Report No. 2015-36

A. Manhart, D. Oelz, C. Schmeiser, N. Sfakianakis

Numerical treatment of the Filament Based Lamellipodium Model (FBLM)

Report No. 2015-35

S. Hirsch, A. Manhart, C. Schmeiser

Mathematical Modeling of Myosin Induced Bistability of Lamellipodial Fragments

Report No. 2015-34

P. Aceves-Sanchez, C. Schmeiser

Fractional-diffusion-advection limit of a kinetic model

Report No. 2015-33

A. Manhart, C. Schmeiser

Decay to equilibrium of the filament end density along the leading edge of the lamellipodium

Report No. 2015-32

S. Anzengruber, S. Bürger, B. Hofmann, G. Steinmeyer

Variational regularization of complex deautoconvolution and phase retrieval in ultrashort laser pulse characterization

Report No. 2015-31

M. Sini

Inverse Spectral Problems, 1-D, Theoretical Results

Report No. 2015-30

A. Alsaedi, F. Alzahrani, D. P. Challa, M. Kirane, M. Sini

Extraction of the index of refraction by embedding multiple and close small inclusions

Report No. 2015-29

A. Alsaedi, B. Ahmed, D. P. Challa, M. Kirane, M. Sini

A cluster of many small holes with negative imaginary surface impedances may generate a negative refraction index

Report No. 2015-28

D. P. Challa, M. Sini

Multiscale analysis of the acoustic scattering by many scatterers of impedance type

Report No. 2015-27

K. Rashedi, M. Sini

Stable recovery of the time-dependent source term from one measurement for the wave equation

Report No. 2015-26

A. Mantile, A. Posilicano, M. Sini

Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces

Report No. 2015-25

F. Al-Musallam, D. P. Challa, M. Sini

The equivalent mass density for the elastic scattering by many small rigid bodies and applications

Report No. 2015-24

R. Kuan, Y.-H. Lin, M. Sini

The enclosure method for the anisotropic Maxwell system

Report No. 2015-23

T. Wick

Coupling fluid-structure interaction with phase-field fracture: modeling and a numerical example

Report No. 2015-22

A-K. Baum, M. Kolmbauer

Solvability and topological index criteria for thermal management in liquid flow networks

Report No. 2015-21

R. Wagner, T. Helin, A. Obereder, R. Ramlau

An efficient Reconstruction Method for Ground Layer Adaptive Optics with mixed Natural and Laser Guide Stars

Report No. 2015-20

U. Langer, S.E. Moore, M. Neumüller

Space-time isogeometric analysis of parabolic evolution equations

Report No. 2015-19

B. Mourrain, R. Vidunas, N. Villamizar

Geometrically continuous splines for surfaces of arbitrary topology

Report No. 2015-18

P. Kuegler

Early Afterdepolarizations with Growing Amplitudes do not Require Stable Limit Cycles in the Fast Subsystem of Cardiac Action Potential Models

Report No. 2015-17

U. Langer, H. Yang

Numerical simulation of parabolic moving and growing interface problems using small mesh deformation

Report No. 2015-16

S. Chen, C. Koutschan

Proof of the Wilf-Zeilberger Conjecture

Report No. 2015-15

C. Koutschan, H. Ranetbauer, G. Regensburger, M.T. Wolfram

Symbolic Derivation of Mean-Field PDEs from Lattice-Based Models

Report No. 2015-14

G. Kriukova, O. Panasiuk, S. Pereverzyev, P. Tkachenko

A Linear Functional Strategy for Regularized Ranking

Report No. 2015-13

D. Wick, T. Wick, R. J. Hellmig, H.-J. Christ

Numerical simulations of crack propagation in screws with phase-field modeling

Report No. 2015-11

G. Albi, M. Bongini, E. Cristiani, D. Kalise

Invisible control of self-organizing agents leaving unknown environments

Report No. 2015-10

A. Alla, M. Falcone, D. Kalise

A HJB-POD feedback synthesis approach for the wave equation

Report No. 2015-9

P. Braun, E. Herńandez, D. Kalise

Reduced-order LQG control of a Timoshenko beam model

Report No. 2015-8

K. Sadiq, O. Scherzer, A. Tamasan

On the X-ray transform of planar symmetric 2-tensors

Report No. 2015-7

A. Constantin, K. Kalimeris, O. Scherzer

Approximations of steady periodic water waves in flows with constant vorticity

Report No. 2015-6

H. Yang

An algebraic multigrid method for quadratic finite element equations of elliptic and saddle point systems in 3D

Report No. 2015-5

D. Kalise, A. Kröner, K. Kunisch

Local minimization algorithms for dynamic programming equations

Report No. 2015-4

M. Gallet, C. Koutschan, Z. Li, G. Regensburger, J. Schicho, N. Villamizar

Planar Linkages Following a Prescribed Motion

Report No. 2015-3

M. Kauers, C. Koutschan

Integral D-Finite Functions

Report No. 2015-2

E. Fuentes, D. Kalise, R. Kennel

Smoothened Quasi-Time-Optimal Control for the Torsional Torque in a Two-Mass-System

Report No. 2015-1

2014


F. Al-Musallam, D. P. Challa, M. Sini

Location and size estimation of small rigid bodies using elastic far-fields

Report No. 2014-53

A. Constantin, K. Kalimeris, O. Scherzer

A penalization method for calculating the flow beneath travelling water waves of large amplitude

Report No. 2014-52

B. Mourrain, N. Villamizar

On the dimension of spline spaces on triangulations

Report No. 2014-51

E. Postinghel, F. Sottile, N. Villamizar

Degenerations of real irrational toric varieties

Report No. 2014-50

B. Mourrain, N. Villamizar

Bounds on the dimension of trivariate spline spaces: A homological approach

Report No. 2014-49

N. Villamizar

Ring structure of splines on triangulations

Report No. 2014-48

A. Kröner, S.S. Rodrigues

Internal exponential stabilization to a nonstationary solution for 1D Burgers equations with piecewise constant controls

Report No. 2014-47

D. Phan-Duc, S.S. Rodrigues

Approximate controllability for equations of fluid mechanics with a few body controls

Report No. 2014-46

Z. Rao, K. Kunisch

Minimal Time Problem with Impulsive Controls

Report No. 2014-45

D. Phan-Duc, S.S. Rodrigues

Gevrey regularity for Navier–Stokes equations under Lions boundary conditions

Report No. 2014-44

Maurizio Falcone, Dante Kalise, Axel Kröner

A semi-Lagrangian scheme for Lp-penalized minimum time problems

Report No. 2014-43

Dante Kalise, Axel Kröner

Reduced-order minimum time control of advection-reaction-diffusion systems via dynamic programming

Report No. 2014-42

Maurizio Falcone, Dante Kalise

A high-order semi-Lagrangian/finite volume scheme for Hamilton-Jacobi-Isaacs equations

Report No. 2014-41

Alessandro Alla, Maurizio Falcone, Dante Kalise

An accelerated value/policy iteration scheme for optimal control problems and games

Report No. 2014-40

M. Wolfmayr

A note on functional a posteriori estimates for elliptic optimal control problems

Report No. 2014-39

U. Langer, S. Repin, M. Wolfmayr

Functional a posteriori error estimates for time-periodic parabolic optimal control problems

Report No. 2014-38

U. Langer, H. Yang

A note on robust preconditioners for monolithic fluid-structure interaction systems of finite element equations

Report No. 2014-37

Q. Hong, J. Kraus

Uniformly stable discontinuous Galerkin discretization and robust iterative solution methods for the Brinkman problem

Report No. 2014-36

M. Kar, M. Sini

Reconstruction of interfaces from the elastic far-field measurements using CGO solutions

Report No. 2014-35

T.T. Nguyen, M. Sini

Regularized recursive Newton-type methods for inverse scattering problems using multifrequency measurements

Report No. 2014-34

L. Rondi, M. Sini

Stable determination of a scattered wave from its far-field pattern: the high frequency asymptotics

Report No. 2014-33

F. Al-Musallam, A. Boumenir, M. Sini

Detection of Multilayered Media in the Acoustic Waveguide

Report No. 2014-32

G. Hu, M. Mantile, M. Sini

Direct and Inverse Acoustic Scattering by a Collection of Extended and Point-Like Scatterers

Report No. 2014-31

G. Hu, M. Sini

Elastic scattering by finitely many point-like obstacles

Report No. 2014-30

M. Kar, M. Sini

An H s,p (curl; &Omega;) estimate for the Maxwell system

Report No. 2014-29

B. Ahmad, D.P. Challa, M. Kirane, M. Sini

The equivalent refraction index for the acoustic scattering by many small obstacles: with error estimates

Report No. 2014-28

R. Andreev

Wavelet-in-time multigrid-in-space preconditioning of parabolic evolution equations

Report No. 2014-27

R. Andreev

On long time integration of the heat equation

Report No. 2014-26

A. Mantzaflaris, B. Mourrain

Singular Zeros of Polynomial Systems

Report No. 2014-25

U. Langer, A. Mantzaflaris, S.E. Moore, I. Toulopoulos

Mesh Grading in Isogeometric Analysis

Report No. 2014-24

R. Andreev, O. Scherzer, W. Zulehner

Simultaneous optical flow and source estimation: space-time discretization and preconditioning

Report No. 2014-23

A. Mantzaflaris, B. Jüttler, B.N. Khoromskij, U. Langer

Matrix Generation in Isogeometric Analysis by Low Rank Tensor Approximation

Report No. 2014-22

G. Kriukova, S. Pereverzyev, P. Tkachenko

On the convergence rate and some applications of regularized ranking algorithms

Report No. 2014-21

S.S. Rodrigues

Normal feedback boundary stabilization to trajectories for 3D Navier–Stokes equations

Report No. 2014-20

U. Langer, S. Repin, M. Wolfmayr

Functional a posteriori error estimates for parabolic time-periodic boundary value problems

Report No. 2014-19

U. Langer, A. Mantzaflaris, S.E. Moore, I. Toulopoulos

Multipatch Discontinuous Galerkin Isogeometric Analysis

Report No. 2014-18

H. Cao, S.V. Pereverzyev, I.H. Sloan, P. Tkachenko

Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions

Report No. 2014-17

T. Wick, W. Wollner

On the differentiability of fluid-structure interaction problems with respect to the problem data

Report No. 2014-16

Alessandro Alla, Maurizio Falcone, Dante Kalise

An efficient policy iteration algorithm for dynamic programming equations

Report No. 2014-15

Mattia Bongini, Massimo Fornasier, Dante Kalise

(Un)conditional consensus emergence under perturbed and decentralized feedback controls

Report No. 2014-14

Olivier Bokanowski, Maurizio Falcone, Roberto Ferretti, Lars Grüne, Dante Kalise, Hasnaa Zidani

Value iteration convergence of ε-monotone schemes for stationary Hamilton-Jacobi equations

Report No. 2014-13

S. Hittmeir, S. Merino-Aceituno

Kinetic Derivation of Fractional Stokes and Stokes-Fourier Systems

Report No. 2014-12

J. Niebsch, R. Ramlau

Simultaneous Estimation of Mass and Aerodynamic Rotor Imbalances for Wind Turbines

Report No. 2014-11

N. Villamizar, A. Mantzaflaris, B. Jüttler

Characterization of bivariate hierarchical quartic box splines on a three-directional grid

Report No. 2014-10

U. Langer, H. Yang

Numerical Simulation of Fluid-Structure Interaction Problems with Hyperelastic Models: A Monolithic Approach

Report No. 2014-9

U. Langer, I. Toulopoulos

Analysis of Discontinuous Galerkin IGA Approximations to Elliptic Boundary Value Problems

Report No. 2014-8

A. Mantzaflaris, B. Jüttler

Integration by Interpolation and Look-up for Galerkin-based Isogeometric Analysis

Report No. 2014-7

S. Pereverzyev, P. Tkachenko

Approximation of the solution of an ill-posed spherical pseudo-differential equation at a given point

Report No. 2014-6

S. Chen, M. Kauers, C. Koutschan

A Generalized Apagodu-Zeilberger Algorithm

Report No. 2014-5

S. Pereverzyev, I.H. Sloan, P. Tkachenko

Parameter choice strategies for least-squares approximation of noisy smooth functions on the sphere

Report No. 2014-4

H. Kasumba

Boundary control of a Bernoulli free boundary problem

Report No. 2014-3

A. Kröner, S.S. Rodrigues

Remarks on the internal exponential stabilization to a nonstationary solution for 1D Burgers equations

Report No. 2014-2

U. Langer, S.E. Moore

Discontinuous Galerkin Isogeometric Analysis of Elliptic PDEs on Surfaces

Report No. 2014-1

2013


M. Kar, M. Sini

Reconstruction of interfaces using CGO solutions for the Maxwell equations

Report No. 2013-24

M. Kar, M. Sini

On the inverse elastic scattering by interfaces using one type of scattered waves

Report No. 2013-23

A. Kröner, K. Kunisch, H. Zidani

Optimal feedback control for undamped wave equations by solving a HJB equation

Report No. 2013-22

U. Langer, H. Yang

Numerical Simulation of Fluid-Structure Interaction Problems with Hyperelastic Models I: A Partitioned Approach

Report No. 2013-21

J. Kraus, M. Lymbery, S. Margenov

Auxiliary space multigrid method based on additive Schur complement approximation

Report No. 2013-20

Q. Hong, J. Kraus, J. Xu, L. Zikatanov

A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations

Report No. 2013-19

S. Rodrigues

Boundary observability inequalities for the 3D Oseen-Stokes system and applications

Report No. 2013-18

H. Kasumba

Shape optimization approaches to Free Surface Problems

Report No. 2013-17

H. Kasumba, K. Kunisch, A. Laurain

A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem

Report No. 2013-16

R. Andreev, J. Schweitzer

Conditional space-time stability of collocation Runge--Kutta for parabolic evolution equations

Report No. 2013-15

M. Yudytskiy, T. Helin, R. Ramlau

A finite element-wavelet hybrid algorithm for atmospheric tomography

Report No. 2013-14

M. Yudytskiy, T. Helin, R. Ramlau

A frequency dependent preconditioned wavelet method for atmospheric tomography

Report No. 2013-13

P. Tkachenko, V. Naumova, S. Pereverzyev

Regularized collocation for Spherical harmonics Gravitational Field Modeling

Report No. 2013-12

A. Pechstein, C. Pechstein

A FETI method for a TDNNS discretization of plane elasticity

Report No. 2013-11

M. Fornasier, V. Naumova, S. Pereverzyev

Parameter Choice Strategies for Multi-Penalty Regularization

Report No. 2013-10

C. Koutschan

Creative Telescoping for Holonomic Functions

Report No. 2013-9

C. Koutschan, P. Paule, S.K. Suslov

Relativistic Coulomb Integrals and Zeilbergers Holonomic Systems Approach II

Report No. 2013-8

H.N. Mhaskar, V. Naumova, S. Pereverzyev

Filtered Legendre Expansion Method for Numerical Differentiation at the Boundary Point with Application to Blood Glucose Predictions

Report No. 2013-7

S.K. Kleiss, S. Tomar

Guaranteed and sharp a posteriori error estimates in isogeometric analysis

Report No. 2013-6

K. Gahalaut, S. Tomar

Algebraic Multilevel Preconditioning in Isogeometric Analysis: Construction and Numerical Studies

Report No. 2013-5

S. Tomar

Algebraic multilevel preconditioning in three-dimensional H(div) space

Report No. 2013-4

V. Naumova, S. Pereverzyev

Multi-Penalty Regularization with a Component-Wise Penalization

Report No. 2013-3

A. Kröner, K. Kunisch

A minimum effort optimal control problem for the wave equation

Report No. 2013-2

S. Garoufalidis, C. Koutschan

Irreducibility of q-difference operators and the knot 7<sub>4</sub>

Report No. 2013-1

2012


M. Kar, M. Sini

Reconstructing obstacles by the enclosure method using in one step the farfield measurements

Report No. 2012-32

A. Mantzaflaris, B. Jüttler

Exploring Matrix Generation Strategies in Isogeometric Analysis

Report No. 2012-31

N. Bayramov, J. Kraus

On the robust solution of Convection-Diffusion Equation coupled with Stokes equation

Report No. 2012-30

J. Kraus, M. Lymbery, S. Margenov

Robust multilevel methods for quadratic finite element anisotropic elliptic problems

Report No. 2012-29

J. Brannick, Y. Chen, J. Kraus, L. Zikatanov

Algebraic multilevel preconditioners for the graph Laplacian based on matching in graphs

Report No. 2012-28

S. Tomar

Algebraic multilevel preconditioning in H(&#x3A9;, curl)

Report No. 2012-27

I.Z. Emiris, A. Mantzaflaris, B. Mourrain

Vorono&iuml; Diagrams of Algebraic Distance Fields

Report No. 2012-26

I.Z. Emiris, A. Mantzaflaris

Multihomogeneous Resultant Formulae for Systems with Scaled Support

Report No. 2012-25

H. Ahmadinezhad

Birational models of Mori fibre spaces, pliability and Cox rings

Report No. 2012-24

K. Gahalaut, S. Tomar

Condition number estimates for matrices arising in the isogeometric discretizations

Report No. 2012-23

A. Korporal, G. Regensburger

On the product of projectors and generalized inverses

Report No. 2012-22

S. Müller, G. Regensburger

Generalized mass action systems: Complex balancing equilibria and sign vectors of the stoichiometric and kinetic-order subspaces

Report No. 2012-21

J. Willems

Spectral Coarse Spaces in robust two-level methods

Report No. 2012-20

H. Yang

Improved Robustness of the Fluid-Structure Interaction Simulation with a Nearly Incompressible Elasticity Model

Report No. 2012-19

H. Kasumba, K. Kunisch

On computation of the shape Hessian of the cost functional without shape sensitivity of the state variable

Report No. 2012-18

Jörg Willems

Robust Multilevel Solvers for High-Contrast Anisotropic Multiscale Problems

Report No. 2012-17

S. Rodrigues, S. Pedro Aguiar

On the linearization up to multi-output injection for a class of nonlinear systems with implicitly defined outputs

Report No. 2012-16

S. Lu, V. Naumova, S. Pereverzyev

Numerical differentiation by means of Legendre polynomials in the presence of square summable noise

Report No. 2012-15

K. Gahalaut, S. Tomar

Condition number study of graph theory based preconditioners for isogeometric discretization of Poisson equation

Report No. 2012-14

A. Kröner

Semi-smooth Newton methods for optimal control of the dynamical Lam&eacute; system with control constraints

Report No. 2012-13

S. Rodrigues

Local exact boundary controllability of 3D Navier--Stokes equations

Report No. 2012-12

H. Yang

Domain Decomposition Solvers for the Fluid-Structure Interaction Problems with Anisotropic Elasticity Models

Report No. 2012-11

P. Kügler

Moment fitting for parameter inference in repeatedly and partially observed stochastic biological models

Report No. 2012-10

A. Kröner

Adaptive Finite Element Methods for Optimal Control of Elastic Waves

Report No. 2012-9

K. Gahalaut, J. Kraus, S. Tomar

Multigrid Methods for Isogeometric Discretization

Report No. 2012-8

H. Kasumba, K. Kunisch

Vortex control of instationary channel flows using translation invariant cost functionals

Report No. 2012-7

Jörg Willems

Robust Multilevel Methods for General Symmetric Positive Definite Operators

Report No. 2012-6

Karl Kunisch, Daniel Wachsmuth

On Time Optimal Control of the Wave Equation, its Regularization and Optimality System

Report No. 2012-5

Daniel Wachsmuth, Gerd Wachsmuth

Necessary conditions for convergence rates of regularizations of optimal control problems

Report No. 2012-4

Saheed Akindeinde, Daniel Wachsmuth

Adaptive methods for control problems with finite-dimensional control space

Report No. 2012-3

H. Yang

A Class of Fluid-Structure Interaction Solvers with a Nearly Incompressible Elasticity Model

Report No. 2012-2

S.K. Kleiss, C. Pechstein, B. Jüttler, S. Tomar

IETI - Isogeometric Tearing and Interconnecting

Report No. 2012-1

2011


V. Naumova, S. Pereverzyev, S. Sampath

A Meta-Learning Approach to the Regularized Learning -- Case Study: Blood Glucose Prediction

Report No. 2011-31

P. Boyanova, I. Georgiev, S. Margenov, L. Zikatanov

Multilevel Preconditioning of Graph-Laplacians: Polynomial Approximation of the Pivot Blocks Inverses

Report No. 2011-30

B. Ayuso de Dios, I. Georgiev, J. Kraus, L. Zikatanov

A Subspace Correction Method for Discontinuous Galerkin Discretizations of Linear Elasticity Equations

Report No. 2011-29

M. Sini, T.T. Nguyen

Inverse acoustic obstacle scattering problems using multifrequency measurements

Report No. 2011-28

M. Sini, T.T. Nguyen

Detection of point-like scatterers using one type of scattered elastic waves

Report No. 2011-27

T.T. Nguyen, H. Sahli, H. Dinh Nho

Thermal infrared technique for landmine detection: Mathematical formulation and methods

Report No. 2011-26

T.T. Nguyen, H. Sahli, H. Dinh Nho

Detection and characterization of buried landmines using infrared thermography

Report No. 2011-25

H. Yang

Two finite element methods on hybrid meshes and their applications to the fluid-structure interaction problems

Report No. 2011-24

S. Akindeinde, D. Wachsmuth

A-posteriori verification of optimality conditions for control problems with finite-dimensional control space

Report No. 2011-23

J. Kraus

Additive Schur complement approximation and application to multilevel preconditioning

Report No. 2011-22

M. Hodorog, B. Mourrain, J. Schicho

An Adapted Version of the Bentley-Ottmann Algorithm for Invariants of Plane Curve Singularities

Report No. 2011-21

M. Hodorog, J. Schicho

A Regularization Method for Computing Approximate Invariants of Plane Curves Singularities

Report No. 2011-20

H. Hauser, J. Schicho

Forty Questions on Singularities

Report No. 2011-19

V. Naumova, S. Pereverzyev, S. Sampath

Adaptive parameter choice for one-sided finite difference schemes and its application in diabetes technology

Report No. 2011-18

V. Korneev

On BPS type domain decomposition preconditioner for finite element discretizations of 3-d elliptic equations

Report No. 2011-17

K. Kunisch, D. Wachsmuth

Time optimal control of the wave equation, its regularization and numerical realization

Report No. 2011-16

H. Yang

A Numerical Study on a Preconditioned GMRES Solver with Algebraic Multigrid Accelerations for the Fluid-Structure Interaction Problems on Hybrid Meshes

Report No. 2011-15

G. Hegedüs

An Upper Bound Theorem concerning lattice polytopes

Report No. 2011-14

G. Hegedüs, L. R&oacute;nayai

Multivalued generalizations of the Frankl--Pach Theorem

Report No. 2011-13

G. Hegedüs

Betti numbers of Stanley--Reisner rings with pure resolutions

Report No. 2011-12

G. Hegedüs, A. M. Kasprzyk

The boundary volume of a lattice polytope

Report No. 2011-11

Y. Efendiev, J. Galvis, R. Lazarov

Robust Solvers for Symmetric Positive Definite Operators and Weighted Poincar&eacute; Inequalities

Report No. 2011-10

A. Schiela, D. Wachsmuth

Convergence analysis of smoothing methods for optimal control of stationary variational inequalities

Report No. 2011-9

H. Kasumba, K. Kunisch

Vortex control in channel flows using translation invariant cost functionals

Report No. 2011-8

H. Kasumba, K. Kunisch

On shape sensitivity analysis of the cost functional without shape sensitivity of the state variable

Report No. 2011-7

S. Anzengruber, R. Ramlau

Convergence rates for Morozov&apos;s Discrepancy Principle using Variational Inequalities

Report No. 2011-6

Y. Efendiev, J. Galvis, R. Lazarov

Robust Domain Decomposition Preconditioners for Abstract Symmetric Positive Definite Bilinear Forms

Report No. 2011-5

V. Naumova, S. Pereverzyev, S. Sampath

Extrapolation in variable RKHSs with application to the blood glucose reading

Report No. 2011-4

O. Steinbach, G. Unger

Convergence orders of iterative methods for nonlinear eigenvalue problems

Report No. 2011-3

H. Yang, W. Zulehner

Numerical Simulation of Fluid-Structure Interaction Problems on Hybrid Meshes with Algebraic Multigrid Methods

Report No. 2011-2

G. Wachsmuth, D. Wachsmuth

On the regularization of optimization problems with inequality constraints

Report No. 2011-1

2010


S.I. Repin, S.K. Tomar

A Posteriori Error Estimates for Nonconforming Approximations of Evolutionary Convection-Diffusion Problems

Report No. 2010-10

J. Niebsch, R. Ramlau, Ch. Brandt, P. Maass

Modeling the Influence of Unbalances for Ultra-Precision Cutting Processes

Report No. 2010-9

A. Rösch, D. Wachsmuth

A-posteriori error estimates for optimal control problems with state and control constraints

Report No. 2010-8

S. Beuchler, V. Pillwein, S. Zaglmayr

Sparsity optimized high order finite element functions for H(div) on simplices

Report No. 2010-7

O. Steinbach, G. Unger

Convergence analysis of a Galerkin boundary element method for the Dirichlet Laplacian eigenvalue problem

Report No. 2010-6

B. Buchberger, G. Regensburger, M. Rosenkranz, L. Tec

Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Gröbner Bases

Report No. 2010-5

S. Beuchler, C. Pechstein, D. Wachsmuth

Boundary concentrated finite elements for optimal boundary control problems of elliptic PDEs

Report No. 2010-4

K. Kunisch, X. Lu

Optimal Control for an Elliptic System with Pointwise Nonlinear Control Constraints

Report No. 2010-3

K. Kunisch, K. Liang, X. Lu

Optimal Control for an Elliptic System with Polygonal State Constraints

Report No. 2010-2

K. Kunisch, D. Wachsmuth

Path-following for Optimal Control of Stationary Variational Inequalities

Report No. 2010-1

2009


S. Pereverzyev, Sergei G. Solodky, Evgeny A. Volynets

The balancing principle in solving semi-discrete inverse problems in Sobolev scales by Tikhonov method

Report No. 2009-21

D. Copeland, U. Langer

Domain Decomposition Solvers for Nonlinear Multiharmonic Finite Element Equations

Report No. 2009-20

S. Lu, S. Pereverzyev, Y. Shao, U. Tautenhahn

On the generalized discrepancy principle for Tikhonov regularization in Hilbert scales

Report No. 2009-19

C. John, D. Wachsmuth

Optimal Dirichlet boundary control of Navier-Stokes equations with state constraint

Report No. 2009-18

J. Kraus, V. Pillwein, L. Zikatanov

Algebraic multilevel iteration methods and the best approximation to 1&#047;x in the uniform norm

Report No. 2009-17

B. Ayuso, I. Georgiev, J. Kraus, L. Zikatanov

A Subspace Correction Method for Discontinuous Galerkin discretizations of linear elasticity equations

Report No. 2009-16

K. van den Doel, U.M. Ascher, A. Leit&atilde;o

Multiple level sets for piecewise constant surface reconstruction in highly ill-posed problems

Report No. 2009-15

A. Neubauer, T. Hein, B. Hofmann, S. Kindermann, U. Tautenhahn

Enhanced convergence rates for Tikhonov regularization revisited: improved results

Report No. 2009-14

S. Anzengruber, R. Ramlau

Morozov&apos;s discrepancy principle for Tikhonov-type functionals with non-linear operators

Report No. 2009-13

J. Baumeister, B. Kaltenbacher, A. Leit&atilde;o

On Levenberg-Marquardt Kaczmarz regularization methods for ill-posed problems

Report No. 2009-12

S. Lu, S. Pereverzyev

Multi-parameter regularization and its numerical realization

Report No. 2009-11

M. Rosenkranz, G. Regensburger, L. Tec, B. Buchberger

A Symbolic Framework for Operations on Linear Boundary Problems

Report No. 2009-10

R. Ramlau, E. Resmerita

Convergence rates for regularization with sparsity constraints

Report No. 2009-9

Y. Heng, S. Lu, A. Mhamdi, S. Pereverzyev

Model function approach in the modified L-curve method for the choice of regularization parameter

Report No. 2009-8

G. Wachsmuth, D. Wachsmuth

Convergence and regularization results for optimal control problems with sparsity functional

Report No. 2009-7

E. Klann, R. Ramlau, W. Ring

A Mumford-Shah level-set approach for the inversion and segmentation of SPECT&#047;CT data

Report No. 2009-6

R. Ramlau, C. Zarzer

On the minimization of a Tikhonov functional with a non-convex sparsity constraint

Report No. 2009-5

K. Kunisch, D. Wachsmuth

Sufficient Optimality Conditions and Semi-Smooth Newton Methods for Optimal Control of Stationary Variational Inequalities

Report No. 2009-4

M. Caruana, P.K. Friz, H. Oberhauser

A &#040;rough&#041; pathwise approach to fully non-linear stochastic partial differential equations

Report No. 2009-3

E. Karer, J. Kraus

Algebraic multigrid for finite element elasticity equations: Determination of nodal dependence via edge matrices and two-level convergence

Report No. 2009-2

G. Regensburger, M. Rosenkranz, J. Middeke

A Skew Polynomial Approach to Integro-Differential Operators

Report No. 2009-1

2008


H. Albrecher, C. Constantinescu, G. Pirsic, G. Regensburger, M. Rosenkranz

An Algebraic Approach to the Analysis of Gerber-Shiu Functions

Report No. 2008-33

J. Kraus, S. Margenov

Generalized hierarchical bases for discontinuous Galerkin discretizations of elliptic problems with highly varying coefficients

Report No. 2008-32

H.K. Pikkarainen, J. Schicho

A Bayesian Model for Root Computation

Report No. 2008-31

J. Kraus, S. Tomar

Multilevel preconditioning in H&#040;DIV&#041; and applications to a posteriori error estimates for discontinuous Galerkin approximations

Report No. 2008-30

P. Elbau, M. Grasmair F. Lenzen, O. Scherzer

Evolution by Non-Convex Functionals

Report No. 2008-29

K. Kunisch, X. Lu

Optimal Control for Multi-phase Fluid Stokes Problems

Report No. 2008-28

J. Boulanger, C. Kervrann, J.-B. Sibarita, P. Bouthemy

Non-parametric regression for patch-based fluorescence microscopy image sequence denoising

Report No. 2008-27

W. Elleithy, R. Grzhibovskis

On the Adaptive Coupling of Finite Elements and Boundary Elements for Elasto-Plastic Analysis

Report No. 2008-26

S. Müller, J. Lu, P. Kuegler, H.W. Engl

Parameter Identification in Systems Biology: Solving Ill-posed Inverse Problems using Regularization

Report No. 2008-25

S. Pereverzyev Jr., R.S. Anderssen

Recursive Algebraic Modelling of Gene Signalling, Communication and Switching

Report No. 2008-24

A. Rösch, D. Wachsmuth

How to check numerically the sufficient optimality conditions for infinite-dimensional optimization problems

Report No. 2008-23

P. Monk, J. Schöberl, A. Sinwel

Hybridizing Raviart-Thomas elements for the Helmholtz equation

Report No. 2008-22

R. Griesse, N. Metla, A. Rösch

Local Quadratic Convergence of SQP for Elliptic Optimal Control Problems with Mixed Control-State Constraints

Report No. 2008-21

C. Pechstein, R. Scheichl

Analysis of FETI methods for multiscale elliptic PDEs

Report No. 2008-20

S. Kindermann, P. Mayer

On the calibration of local jump-diffusion market models

Report No. 2008-19

S. Lu, S. Pereverzyev, U. Tautenhahn

A model function method in total least squares

Report No. 2008-18

S. Lu, S. Pereverzyev

Sparsity reconstruction by the standard Tikhonov method

Report No. 2008-17

R. Ramlau, G. Teschke, M. Zhariy

A Compressive Landweber Iteration for Solving Ill-Posed Inverse Problems

Report No. 2008-16

P. Krutitskii, J. Liu, M. Sini

Reconstruction of complex cracks by far field measurements

Report No. 2008-15

J. Liu, M. Sini

On detection and visibility of a complex obstacle using multipoles sources from far field data

Report No. 2008-14

C. Chniti

A matching of singularities in domain decomposition methods for reaction-diffusion problems

Report No. 2008-13

A. Kuijper

On the interactions of critical curves, catastrophe points, scale space saddles, and iso-intensity manifolds in Gaussian scale space images under a one-parameter driven deformation

Report No. 2008-12

D. Copeland

Boundary-element-based finite element methods for Helmholtz and Maxwell equations on general polyhedral meshes

Report No. 2008-11

D. Copeland, U. Langer, D. Pusch

From the Boundary Element DDM to local Trefftz Finite Element Methods on Polyhedral Meshes

Report No. 2008-10

I. Georgiev, J. Kraus, S. Margenov

On the robustness of hierarchical multilevel splittings for discontinuous Galerkin rotated bilinear FE problems

Report No. 2008-9

T. Beck

Software Documentation -- An Efficient Surface Tool Box --

Report No. 2008-8

D.H. Pastore, J.P. Zubelli

On the Dynamics of Certain Models Describing the HIV Infection

Report No. 2008-7

Fabio A.C.C. Chalub, Max O. Souza, R. Mario Santos Braga

A Non-Standard Evolution Problem Arising in Population Genetics

Report No. 2008-6

N. Honda, G. Nakamura, M. Sini

Analytic extention and reconstruction of obstacles from few measurements for elliptic second order operators

Report No. 2008-5

J. Liu, M. Sini

How to make the reconstruction of obstacles more (or less) accurate from exterior measurements

Report No. 2008-4

A. De Cezaro, M. Haltmeier, A. Leitao, O. Scherzer

On Steepest-Descent-Kaczmarz Methods for Regularizing Systems of Nonlinear Ill-posed

Report No. 2008-3

T. Beck, J. Schicho

Adjoint Computation for Hypersurfaces Using Formal Desingularizations

Report No. 2008-2

J. Sass, R. Wunderlich

Optimal Portfolio Policies Under Bounded Expected Loss and Partial Information

Report No. 2008-1

2007


S.I. Repin, S. Tomar

A posteriori error estimates for nonconforming approximation of elliptic problems based on Helmholtz type decomposition of the error

Report No. 2007-41

S. Repin, J. Valdman

Functional a posteriori error estimates for incremental models in elasto-plasticity

Report No. 2007-40

S.I. Repin, S. Tomar

Efficient computable error bounds for discontinuous Galerkin approximations of elliptic problems

Report No. 2007-39

S. Pereverzyev Jr., R. Pinnau, N. Siedow

Approximate solution of nonlinear inverse problems by fixed-point iteration

Report No. 2007-38

J. Niebsch, R. Ramlau

Automatic Imbalance Reconstruction in Wind Turbines

Report No. 2007-37

H. Cao, S. Pereverzyev, E. Sincich

Natural linearization for corrosion identification

Report No. 2007-36

L. He, S. Kindermann, M. Sini

Reconstruction of shapes and impedance functions using few farfield measurements

Report No. 2007-35

H. Albrecher, J.-F. Renaud, X Zhou

A L&#233;vy insurance risk process with tax

Report No. 2007-34

R. Griesse, D. Wachsmuth

Sensitivity Analysis and the Adjoint Update Strategy for Optimal Control Problems with Mixed Control-State Constraints

Report No. 2007-33

I. Georgiev, J. Kraus, S. Margenov, J. Schicho

Locally Optimized MIC(0) Preconditioning of Rannacher-Turek FEM Systems

Report No. 2007-32

T. Beck

Formal Desingularization of Surfaces -- The Jung Method Revisited --

Report No. 2007-31

S. Lu, S.V. Pereverzyev, U. Tautenhahn

Regularized total least squares: computational aspects and error bounds

Report No. 2007-30

R. Griesse, K. Kunisch

A Semi-Smooth Newton Method for Solving Elliptic Equations with Gradient Constraints

Report No. 2007-29

H. Egger, A. Leitao

Stable solutions of nonlinear elliptic Cauchy problems in three dimensional domains

Report No. 2007-28

J. Synka

The Finite Line Integration Method (FLIM) - A Fast Variant of Finite Element Modelling

Report No. 2007-27

A. Griesbaum, B. Kaltenbacher, B. Vexler

Efficient computation of the Tikhonov regularization parameter by goal oriented adaptive discretization

Report No. 2007-26

R.H.W. Hoppe, J. Schöberl

Convergence of Adaptive Edge Element Methods for the 3D Eddy Currents Equations

Report No. 2007-25

E. Klann, R. Ramlau

Regularization by fractional filter methods and data smoothing

Report No. 2007-24

E. Sincich, M. Sini

Local stability for soft obstacle by a single measurement

Report No. 2007-23

M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr

Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach

Report No. 2007-22

I. Georgiev, J. Kraus, S. Margenov

Multilevel algorithms for Rannacher-Turek finite element approximation of 3D elliptic problems

Report No. 2007-21

H. Albrecher, S. Thonhauser

Optimal dividend strategies for a risk process under force of interest

Report No. 2007-20

R. Ramlau, L. Justen

A General Framework for Soft-Shrinkage with Applications to Blind Deconvolution and Wavelet Denoising

Report No. 2007-19

M. Peng, N.K. Bose

Parametrized Biorthogonal Wavelets and FIR Filter Bank Design with Gröbner Bases

Report No. 2007-18

L. He, B. Heise, A. Kuijper, Y. Zhou

Cell Segmentation Using the Level Set Method

Report No. 2007-17

L. Demkowicz, J. Gopalakrishnan, J. Schöberl

Polynomial Extension Operators. Part II

Report No. 2007-16

L. Demkowicz, J. Gopalakrishnan, J. Schöberl

Polynomial Extension Operators. Part I

Report No. 2007-15

L. Badea, M. Discacciati, A. Quarteroni

Mathematical analysis of the Navier-Stokes/Darcy coupling

Report No. 2007-14

T. Beck, H. Brunotte, K. Scheicher, J.M. Thuswaldner

Number Systems and Tilings over Laurent Series

Report No. 2007-13

D. Meidner, B. Vexler

A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints

Report No. 2007-12

D. Meidner, B. Vexler

A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems without Control Constraints

Report No. 2007-11

J. Schöberl, A. Sinwel

Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity

Report No. 2007-10

M. Hahn, S. Frühwirth-Schnatter, J. Sass

Markov Chain Monte Carlo Methods for Parameter Estimation in Multidimensional Continuous Time Markov Switching Models

Report No. 2007-9

I. Anufriev, V. Korneev, V. Kostylev

A posteriori error estimation by means of the exactly equilibrated fields

Report No. 2007-8

S. Beuchler, T. Eibner, U. Langer

Primal and Dual Interface Concentrated Iterative Substructuring Methods

Report No. 2007-7

A. Huszti, K. Scheicher, P. Surer, J.M. Thuswaldner

Three-Dimensional Symmetric Shift Radix Systems

Report No. 2007-6

B. Gebauer

Sensitivity analysis of a parabolic-elliptic problem

Report No. 2007-5

H. Albrecher, D. Kortschak

Asymptotic results for the sum of dependent non-identically distributed random variables

Report No. 2007-4

S. Akiyama, K. Scheicher

Symmetric shift radix systems and finite expansions

Report No. 2007-3

A. Hofinger, H.K. Pikkarainen

Convergence rates for linear inverse problems in the presence of an additive normal noise

Report No. 2007-2

T. Fidler, M. Grasmair, H. Pottmann, O. Scherzer

Inverse Problems of Integral Invariants and Shape Signatures

Report No. 2007-1

2006


R. Lazarov S., S. Tomar

Functional A Posteriori Error Estimates for Discontinuous Galerkin Approximations of Elliptic Problems

Report No. 2006-40

J. Kraus, S. Tomar

A multilevel method for discontinuous Galerkin approximation of three-dimensional anisotropic elliptic problems

Report No. 2006-39

M. Discacciati

Mathematical and numerical analysis of a steady magnetohydrodynamic problem

Report No. 2006-38

V.G. Korneev, S.V. Poborchi, A. Salgado

Interface Schur complement preconditioning for piece wise orthotropic discretizations with high aspect ratios

Report No. 2006-37

J. Kraus, S. Tomar

Multilevel preconditioning of elliptic problems discretized by a class of discontinuous Galerkin methods

Report No. 2006-36

A. Hofinger, H.K. Pikkarainen

Convergence rates for the Bayesian approach to linear inverse problems

Report No. 2006-35

L. Neumann, C. Sparber

Stability of steady states in kinetic Fokker-Planck equations for Bosons and Fermions

Report No. 2006-34

S. Beuchler, S.V. Nepomnyaschikh

Overlapping Additive Schwarz preconditioners for degenerated elliptic problems: Part II- locally anisotropic problems

Report No. 2006-33

S. Beuchler, S.V. Nepomnyaschikh

Overlapping Additive Schwarz preconditioners for degenerated elliptic problems: Part I- isotropic problems

Report No. 2006-32

M. Fornasier

Faithful Recovery of Vector Valued Functions from Incomplete Data. Recolorization and Art Restoration

Report No. 2006-31

M. Fornasier, R. March

Restoration of color images by vector valued BV functions and variational calculus

Report No. 2006-30

K. Kunisch, B. Vexler

Constrained Dirichlet Boundary Control in L&#178; for a Class of Evolution Equations

Report No. 2006-29

M. Fornasier, K. Gröchenig

Optimal Adaptive Computations in the Jaffard Algebra and Localized Frames

Report No. 2006-28

M. Fornasier, H. Rauhut

Recovery algorithms for vector valued data with joint sparsity constraints

Report No. 2006-27

K. Brandes, R. Griesse

Quantitative Stability Analysis of Optimal Solutions in PDE-Constrained Optimization

Report No. 2006-26

S. Repin, J. Valdman

Functional a posteriori error estimates for problems with nonlinear boundary conditions

Report No. 2006-25

A. Gabih, J. Sass, R. Wunderlich

Utility Maximization Under Bounded Expected Loss

Report No. 2006-24

S. Margenov, J. Synka

Generalized aggregation-based multilevel preconditioning of Crouzeix-Raviart FEM elliptic problems

Report No. 2006-23

J.M.J. Huttunen, H.K. Pikkarainen

Discretization error in dynamical inverse problems: one-dimensional model case

Report No. 2006-22

V. Korneev, A. Rytov

Fast domain decomposition algorithm for discretizations of 3-d elliptic equations by spectral elements

Report No. 2006-21

H. Albrecher, S. Thonhauser

Dividend maximization under consideration of the time value of ruin

Report No. 2006-20

D. Braess, J. Schöberl

Equilibrated Residual Error Estimator for Maxwell's Equations

Report No. 2006-19

S. Amstutz, B. Vexler, T. Takahashi

Topological sensitivity analysis for time-dependent problems

Report No. 2006-18

R. Griesse, T. Grund, D. Wachsmuth

Update Strategies for Perturbed Nonsmooth Equations

Report No. 2006-17

S.D. Mechveliani

A Predicate Calculus Prover Based on Completion and Boolean Term Algebra

Report No. 2006-16

M. Burger, M. Di Francesco

Large Time Behavior of Nonlocal Aggregation Models with Nonlinear Diffusion

Report No. 2006-15

L. Ambrosio, V. Capasso, E. Villa

On the approximation of geometric densities of random closed sets

Report No. 2006-14

V. Capasso, E. Villa

On the geometric densities of random closed sets

Report No. 2006-13

H. Albrecher, J. Hartinger, S. Thonhauser

Exact solutions for dividend strategies of threshold and barrier type in a Sparre Andersen model

Report No. 2006-12

H. Egger

Preconditioning CGNE-Iterations for Inverse Problems

Report No. 2006-11

R. Becker, B. Vexler

Optimal Control of the Convection-Diffusion Equation using Stabilized Finite Element Methods

Report No. 2006-10

B. Kaltenbacher

On the Regularizing Properties of Truncated Cholesky Factorization

Report No. 2006-9

D. Meidner, B. Vexler

Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems

Report No. 2006-8

S. Tomar, J.J.W. van der Vegt

A Runge-Kutta discontinuous Galerkin method for linear free-surface gravity waves using high order velocity recovery

Report No. 2006-7

B. Kaltenbacher, A. Neubauer

Convergence of projected iterative regularization methods for nonlinear problems with smooth solutions

Report No. 2006-6

B. Hackl

Methods for reliable topology changes for perimeter regularized geometric inverse problems

Report No. 2006-5

M. Discacciati, A. Quarteroni, A. Valli

Robin-Robin Domain Decomposition Methods for the Stokes-Darcy Coupling

Report No. 2006-4

I. Georgiev, J. Kraus, S. Margenov

Multilevel preconditioning of rotated bilinear non-conforming FEM problems

Report No. 2006-3

S. Akiyama, K. Scheicher

Intersecting Two-Dimensional Fractals with Lines

Report No. 2006-2

K. Scheicher

Efficient simulation of Lévy areas

Report No. 2006-1

2005


F. Leibfritz, J.H. Maruhn

A Successive SDP-NSDP Approach to a Robust Optimization Problem in Finance

Report No. 2005-32

H. Egger, T. Hein, B. Hofmann

On decoupling of volatility smile and term structure in inverse option pricing

Report No. 2005-31

R. Griesse, A.J. Meir

Modeling of an MHD Free Surface Problem Arising in CZ Crystal Growth

Report No. 2005-30

R. Griesse, M. Weiser

On the Interplay Between Interior Point Approximation and Parametric Sensitivities in Optimal Control

Report No. 2005-29

R. Lazarov, S. Margenov

CBS constants for graph-Laplacians and application to multilevel methods for discontinuous Galerkin systems

Report No. 2005-28

S. Börm

Adaptive variable-rank approximation of general dense matrices

Report No. 2005-27

J. Hartinger, D. Kortschak

Quasi-Monte Carlo Techniques and Rare Event Sampling

Report No. 2005-26

R.D. Lazarov, S. Lu, S.V. Pereverzyev

On the balancing principle for some problems of Numerical Analysis

Report No. 2005-25

S. Amstutz

Sensitivity analysis with respect to a local perturbation of the material property

Report No. 2005-24

A. Hofinger, F. Pillichshammer

Learning a Function from Noisy Samples at a Finite Sparse Set of Points

Report No. 2005-23

S. Cho, S.V. Nepomnyaschikh, E.J. Park

Domain Decomposition Preconditioning for Elliptic Problems with Jumps in Coefficients

Report No. 2005-22

S. Amstutz, N. Dominguez

Topological sensitivity analysis in the context of ultrasonic nondestructive testing

Report No. 2005-21

H.K. Pikkarainen

State estimation approach to nonstationary inverse problems: discretization error and filtering problem

Report No. 2005-20

J.K. Kraus

Algebraic multigrid based on computational molecules, 2: Systems of elliptic partial differential equations

Report No. 2005-19

J.C. de los Reyes, R. Griesse

State-Constrained Optimal Control of the Stationary Navier-Stokes Equations

Report No. 2005-18

T. Apel, A. Rösch, G. Winkler

Optimal control in nonconvex domains: a priori discretization error estimates

Report No. 2005-17

U. Langer, D. Pusch

Convergence Analysis of Geometric Multigrid Methods for Solving Data-Sparse Boundary Element Equations

Report No. 2005-16

R. Griesse, B. Vexler

Numerical Sensitivity Analysis for the Quantity of Interest in PDE-Constrained Optimization

Report No. 2005-15

M. Burger, M. Di Francesco, Y. Dolak-Struss

The Keller-Segel model for chemotaxis with prevention of overcrowding: Linear vs. nonlinear diffusion

Report No. 2005-14

A. Rösch, B. Vexler

Superconvergence in Finite Element Methods for the Optimal Control Problem of the Stokes Equations

Report No. 2005-13

J. A. Carrillo, M. Di Francesco, G. Toscani

Strict Contractivity of the 2-Wasserstein distance for the porous medium equation by mass-centering

Report No. 2005-12

J. Schöberl, J.M. Melenk, C. Pechstein, S.C. Zaglmayr

Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements

Report No. 2005-11

J. Schöberl

A posteriori error estimates for Maxwell Equations

Report No. 2005-10

M. Thamban Nair, S.V. Pereverzyev, U. Tautenhahn

Regularization in Hilbert scales under general smoothing conditions

Report No. 2005-9

T. Beck, J. Schicho

Sparse Parametrization of Plane Curves

Report No. 2005-8

U. Langer, G. Of, O. Steinbach, W. Zulehner

Inexact Data-Sparse Boundary Element Tearing and Interconnecting Methods

Report No. 2005-7

S. Akiyama, K. Scheicher

From number systems to shift radix systems

Report No. 2005-6

J.K. Kraus, J. Schicho

Algebraic multigrid based on computational molecules, 1: Scalar elliptic problems

Report No. 2005-5

S.K. Tomar, Pravir Dutt

Parallel h-p Spectral Element Methods for Elliptic Problems on Non-smooth Domains

Report No. 2005-4

T. Beck, J. Schicho

Approximate Roots in Graded Rings

Report No. 2005-3

R. Griesse, K. Kunisch

A Practical Optimal Control Approach to the Stationary MHD System in Velocity--Current Formulation

Report No. 2005-2

H. Egger

Accelerated Newton-Landweber Iterations for Regularizing Nonlinear Inverse Problems

Report No. 2005-1

2004


S. Beuchler, J. Schöberl

New shape functions for triangular p-FEM using integrated Jacobi polynomials

Report No. 2004-18

M. Hintermüller, K. Kunisch

Path-following Methods for a Class of Constrained Minimization Problems in Function Space

Report No. 2004-17

B. Buchberger, F. Piroi

Label Management in Mathematical Theories

Report No. 2004-16

R. Becker, B. Vexler

Mesh Refinement and Numerical Sensitivity Analysis for Parameter Calibration of Partial Differential Equations

Report No. 2004-15

R. Griesse, M. Hintermüller, M. Hinze

Differential Stability of Control Constrained Optimal Control Problems for the Navier-Stokes Equations

Report No. 2004-14

L.L. Cristea, F. Pillichshammer, G. Pirsic, K. Scheicher

Discrepancy estimates for point sets on the s-dimensional Sierpinski carpet

Report No. 2004-13

H. Egger

Semiiterative Regularization in Hilbert Scales

Report No. 2004-12

H. Egger, A. Neubauer

Preconditioning Landweber Iteration in Hilbert Scales

Report No. 2004-11

H. Egger, H.W. Engl

Tikhonov Regularization Applied to the Inverse Problem of Option Pricing: Convergence Analysis and Rates

Report No. 2004-10

H. Egger, H.W. Engl, M.V. Klibanov

Global Uniqueness and Hölder Stability for Recovering a Nonlinear Source Term in a Parabolic Equation

Report No. 2004-9

J.K. Kraus, J. Synka

An agglomeration-based multilevel-topology concept with application to 3D-FE meshes

Report No. 2004-8

M. Hintermüller, K. Kunisch

Path-Following Methods for a class of Constrained Minimization Problems in Function Space

Report No. 2004-7

J. Sass

Portfolio Optimization under Transaction Costs in the CRR Model

Report No. 2004-6

C. Meyer, A. Rösch

L∞-Estimates For Approximated Optimal Control Problems

Report No. 2004-5

C. Haase, J. Schicho

Lattice polygons and the number 2i + 7

Report No. 2004-4

M. Marin, F. Piroi

Rule-Based Programming with Mathematica

Report No. 2004-3

K. Scheicher

β-expansions in algebraic function fields over finite fields

Report No. 2004-2

J.K. Kraus

Algebraic multilevel preconditioning of finite element matrices based on element agglomeration

Report No. 2004-1

2003


J.K. Kraus

Computing interpolation weights in AMG based on multilevel Schur complements

Report No. 2003-2

S. Beuchler, J. Schöberl

Extension operators on tensor product structures in 2D and 3D

Report No. 2003-1