2 papers
math.NA2026
Long-time stability of implicit-explicit Runge-Kutta methods for two-dimensional incompressible flows
Hong-lin Liao, Xiaoming Wang, Xuping Wang +1
High-order adaptive time-stepping algorithms are of significant practical value and theoretical interest for accelerating long-time fluid-flow simulations and resolving complex dyn…
math.NA2024
Average energy dissipation rates of additive implicit-explicit Runge-Kutta methods for gradient flow problems
Hong-lin Liao, Xuping Wang, Cao Wen
A unified theoretical framework is suggested to examine the energy dissipation properties at all stages of additive implicit-explicit Runge-Kutta (IERK) methods up to fourth-order…