Original energy dissipation preserving corrections of integrating factor Runge-Kutta methods for gradient flow problems

H Liao, X Wang, C Wen - Journal of Computational Physics, 2024 - Elsevier
Abstract Explicit integrating factor Runge-Kutta methods are attractive and popular in
developing high-order maximum bound principle preserving time-stepping schemes for …

Average energy dissipation rates of explicit exponential Runge-Kutta methods for gradient flow problems

H Liao, X Wang - arXiv preprint arXiv:2404.14893, 2024 - arxiv.org
We propose a unified theoretical framework to examine the energy dissipation properties at
all stages of explicit exponential Runge-Kutta (EERK) methods for gradient flow problems …