3 papers
math.NA2026
A note on the space-time variational formulation for the wave equation with source term in
Marco Zank
We derive a variational formulation for the scalar wave equation in the second-order formulation on bounded Lipschitz domains and homogeneous initial conditions. We investigate a v…
math.NA2025
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.NA2025
A Space-Time Continuous Galerkin Finite Element Method for Linear Schrödinger Equations
Marco Zank
We introduce a space-time finite element method for the linear time-dependent Schrödinger equation with Dirichlet conditions in a bounded Lipschitz domain. The proposed discretiza…