### Selected Year

### Reports From: 2020

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

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

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

An algorithm for best rational approximation based on barycentric rational interpolation

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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?

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

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

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

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

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

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

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

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

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

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