Thomas Christiansen

collaborators

3 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.NA2024

Rate of convergence for numerical $α$ -dissipative solutions of the Hunter-Saxton equation

Thomas Christiansen, Katrin Grunert

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

math.NA2024

On the convergence rate of a numerical method for the Hunter-Saxton equation

Thomas Christiansen

We derive a robust error estimate for a recently proposed numerical method for $α$ -dissipative solutions of the Hunter-Saxton equation, where $α \in [0, 1]$ . In particular, if the f…

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

Rate of convergence for numerical α-dissipative solutions of the Hunter-Saxton equation

On the convergence rate of a numerical method for the Hunter-Saxton equation

Rate of convergence for numerical $α$ -dissipative solutions of the Hunter-Saxton equation