Thomas Christiansen

activity

20242026

collaborators

4 papers

math.NA2026

Structure-preserving LDG methods for linear and nonlinear transport equations with gradient noise

Thomas Christiansen, Kenneth H. Karlsen

We develop local discontinuous Galerkin (LDG) methods for conservation laws with heterogeneous stochastic fluxes, where the Stratonovich-driven transport terms may be linear or non…

math.NA2025

Rate of convergence for numerical $I^\pm$ -dissipative solutions of the Hunter-Saxton equation

Thomas Christiansen, Katrin Grunert

We prove that $I^\pm$ -dissipative solutions to the Cauchy problem of the Hunter-Saxton equation, where $I^\pm \in W^{1, \infty} (R, [0, 1))$ , can be computed numerically with orde…

math.NA2024

A numerical view on Î±-dissipative solutions of the Hunter-Saxton equation

Thomas Christiansen, Katrin Grunert

We propose a new numerical method for $I^\pm$ -dissipative solutions of the Hunter-Saxton equation, where $I^\pm$ belongs to $W^{1, \infty} (R, [0, 1))$ . The method combines a pro…