3 papers
math.NA2026
A Parallel-in-Time Combination Method for Parabolic Problems
Michael Griebel, Marc Alexander Schweitzer, Lukas Troska
In this article, we present a parallel discretization and solution method for parabolic problems with a higher number of space dimensions. It consists of a parallel-in-time approac…
math.NA2025
Kernel interpolation in Sobolev spaces of hybrid regularity
M. Griebel, H. Harbrecht
Kernel interpolation in tensor product reproducing kernel Hilbert spaces allows for the use of sparse grids to mitigate the curse of the dimension. Typically, besides the generic c…
math-ph2025
Small distance behavior of one-particle Green's functions in electronic structure theory
Heinz-Juergen Flad, Michael Griebel
Within the framework of many-particle perturbation theory, we develop an analytical approach that allows us to determine the small distance behavior of Green's functions and relate…