4 papers
An adaptive dynamical low-rank optimizer for solving kinetic parameter identification inverse problems
Lena Baumann, Lukas Einkemmer, Christian Klingenberg +1
The numerical solution of parameter identification inverse problems for kinetic equations can exhibit high computational and memory costs. In this paper, we propose a dynamical low…
Active flux for ideal magnetohydrodynamics: A positivity-preserving scheme with the Godunov-Powell source term
Junming Duan, Praveen Chandrashekar, Christian Klingenberg
The Active Flux (AF) is a compact, high-order finite volume scheme that allows more flexibility by introducing additional point value degrees of freedom at cell interfaces. This pa…
A Well-Balanced Method for an Unstaggered Central Scheme, the two-space Dimensional Case
Yu-Chen Cheng, Christian Klingenberg, Rony Touma
We develop a second-order accurate central scheme for the two-dimensional hyperbolic system of in-homogeneous conservation laws. The main idea behind the scheme is that we combine…
Regularity of viscous solutions for a degenerate nonlinear Cauchy problem
Eric Hernandez Sastoque, Juan C. Juajibioy, Christian Klingenberg +1
We consider the Cauchy problem for a class of nonlinear degenerate parabolic equa- tion with forcing. By using the vanishing viscosity method we obtain generalized solutions. We pr…