2 papers
math.NA2024
Wavelet compressed, modified Hilbert transform in the space-time discretization of the heat equation
Helmut Harbrecht, Christoph Schwab, Marco Zank
On a finite time interval , we consider the multiresolution Galerkin discretization of a modified Hilbert transform which arises in the space-time Galerkin di…
math.AP2023
The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs
Helmut Harbrecht, Marc Schmidlin, Christoph Schwab
This article is concerned with a regularity analysis of parametric operator equations with a perspective on uncertainty quantification. We study the regularity of mappings between…