18 citations · 48 across the 9 of their papers we have counts for
5 papers · 1 filter
A unified framework on the original energy laws of three effective classes of Runge-Kutta methods for phase field crystal type models
Xuping Wang, Xuan Zhao, Hong-lin Liao
The main theoretical obstacle to establish the original energy dissipation laws of Runge-Kutta methods for phase-field equations is to verify the maximum norm boundedness of the st…
A class of refined implicit-explicit Runge-Kutta methods with robust time adaptability and unconditional convergence for the Cahn-Hilliard model
Hong-lin Liao, Tao Tang, Xuping Wang +1
One of main obstacles in verifying the energy dissipation laws of implicit-explicit Runge-Kutta (IERK) methods for phase field equations is to establish the uniform boundedness of…
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…
Original energy dissipation preserving corrections of integrating factor Runge-Kutta methods for gradient flow problems
Hong-lin Liao, Xuping Wang, Cao Wen
Explicit integrating factor Runge-Kutta methods are attractive and popular in developing high-order maximum bound principle preserving time-stepping schemes for Allen-Cahn type gra…
Average energy dissipation rates of explicit exponential Runge-Kutta methods for gradient flow problems
Hong-lin Liao, Xuping Wang
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.…