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### Reports From: 2021

Multigrid solvers for isogeometric discretizations of the second biharmonic problem

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

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

A Fourier approach to the inverse source problem for vector field in an absorbing and non-diffusing scattering medium

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

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

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

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

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

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

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

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

Parameterization for Polynomial Curve Approximation via Residual Deep Neural Networks

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

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

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

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