Reports From: 2021

I. Georgieva, C. Hofreither

A Newton’s method for best uniform polynomial approximation

Report No. 2021-46

J. Sogn, S. Takacs

Multigrid solvers for isogeometric discretizations of the second biharmonic problem

Report No. 2021-45

J. Sogn, S. Takacs

Dual-Primal Isogeometric Tearing and Interconnecting methods for the Stokes problem

Report No. 2021-44

K-D. Bauer, J. Haslinger, G. Offner, T. Parikyan

Approaches for going beyond linear frequency domain powertrain simulation

Report No. 2021-43

J.A. Iglesias, D. Walter

Extremal points of total generalized variation balls in 1D: characterization and applications

Report No. 2021-42

D. Omogbhe, K. Sadiq

An inverse source problem for vector field in absorbing and scattering medium

Report No. 2021-41

A. Ghandriche, M. Sini

Photo-acoustic inversion using plasmonic contrast agents: The full Maxwell model

Report No. 2021-40

X. Cao, M. Sini

The effective permittivity and permeability generated by a cluster of moderately contrasting nanoparticles

Report No. 2021-39

A. Mantile, A. Posilicano, M. Sini

On the Origin of Minnaert Resonances

Report No. 2021-38

A. Ghandriche, M. Sini

An introduction to the mathematics of the imaging modalities using small scaled contrast agents

Report No. 2021-37

L. Rondi, E. Sincich, M. Sini

Stable determination of a rigid scatterer in elastodynamics

Report No. 2021-36

A. Dabrowski, A. Ghandriche, M. Sini

Mathematical analysis of the acoustic imaging modality using bubbles as contrast agents at nearly resonating frequencies

Report No. 2021-35

C. Koutschan, W. Zudilin

Apéry limits for elliptic L-values

Report No. 2021-34

K. Sadiq, A. Tamasan

On the range of the planar X-ray transform on the fourier lattice of the torus

Report No. 2021-33

H. Fujiwara, K. Sadiq, A. Tamasan

On a local inversion of the X-ray transform from one sided data

Report No. 2021-32

B. Hanson, O. Roche-Newton, S. Senger

Convexity, Superquadratic Growth, and Dot Products

Report No. 2021-31

A. Warren, J. Wheeler

Incidences of Möbius transformations in $\mathbb F_p$

Report No. 2021-30

R. Schneckenleitner, S. Takacs

Inexact IETI-DP for conforming isogeometric multi-patch discretizations

Report No. 2021-29

R. Schneckenleitner, S. Takacs

IETI-DP methods for discontinuous Galerkin multi-patch Isogeometric Analysis with T-junctions

Report No. 2021-28

C. Koutschan, A. Ponomarchuk, J. Schicho

Approximation of convex polygons by polygons

Report No. 2021-27

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

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