11 citations · 11 across the 1 of their papers we have counts for
3 papers
math.NA2024
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…
math.NA2024
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…
math.DG2012★ 11 cited
On exterior calculus and curvature in piecewise-flat manifolds
Jonathan R. McDonald, Warner A. Miller, Paul M. Alsing +3
Simplicial, piecewise-flat discretizations of manifolds provide a clear path towards curvature analysis on discrete geometries and for solutions of PDE's on manifolds of complex to…