2 papers
math.NA2026
A low-dissipation central scheme for ideal MHD
Yu-Chen Cheng, Praveen Chandrashekar, Christian Klingenberg
Central schemes for conservation laws are Riemann solver free methods which are simple and easy to implement. In recent work for Euler equations [Kurganov & Xin, J. Sci. Comput., 9…
math.NA2025
High-Order and Energy-Stable Implicit-Explicit Relaxation Runge-Kutta Schemes for Gradient Flows
Yuxiu Cheng, Kun Wang, Kai Yang
In this paper, we propose a class of high-order and energy-stable implicit-explicit relaxation Runge-Kutta (IMEX RRK) schemes for solving the phase-field gradient flow models. By i…