2 papers
math.NA2026
A Posteriori Error Analysis of Runge-Kutta Discontinuous Galerkin Schemes with SIAC Post-Processing for Nonlinear Convection-Diffusion Systems
Jan Giesselmann, Kiwoong Kwon, Sebastian Krumscheid
We develop reliable a posteriori error estimators for fully discrete Runge-Kutta discontinuous Galerkin approximations of nonlinear convection-diffusion systems endowed with a conv…
cs.CE2024
Non-parametric Inference for Diffusion Processes: A Computational Approach via Bayesian Inversion for PDEs
Maximilian Kruse, Sebastian Krumscheid
In this paper, we present a theoretical and computational workflow for the non-parametric Bayesian inference of drift and diffusion functions of autonomous diffusion processes. We…