High order implicit finite difference schemes with a semi-implicit WENO reconstruction for nonlinear degenerate parabolic equations

Bound/positivity preserving and unconditionally stable schemes for a class of fourth order nonlinear equations

(2022) Fukeng Huang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High Order Finite Difference Multi-resolution WENO Method for Nonlinear Degenerate Parabolic Equations

(2021) Yan Jiang   JOURNAL OF SCIENTIFIC COMPUTING

Semi-implicit front capturing schemes for the degenerate nonlinear radiative diffusion equation

(2021) Min Tang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Local discontinuous Galerkin methods with explicit-implicit-null time discretizations for solving nonlinear diffusion problems

(2019) Haijin Wang et al.   Science China-Mathematics

Finite volume WENO schemes for nonlinear parabolic problems with degenerate diffusion on non-uniform meshes

(2019) Todd Arbogast et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On a Class of Cahn--Hilliard Models with Nonlinear Diffusion

(2013) Giulio Schimperna et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation

(2012) Zhengru Zhang et al.   Communications in Computational Physics

A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations

(2012) Marianne Bessemoulin-Chatard et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations

(2011) Yuanyuan Liu et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Optimal implicit strong stability preserving Runge–Kutta methods

(2008) David I. Ketcheson et al.   APPLIED NUMERICAL MATHEMATICS

Isogeometric analysis of the Cahn–Hilliard phase-field model

(2008) Héctor Gómez et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Numerical Simulation for Porous Medium Equation by Local Discontinuous Galerkin Finite Element Method

(2008) Qiang Zhang et al.   JOURNAL OF SCIENTIFIC COMPUTING

Strong stability of singly-diagonally-implicit Runge–Kutta methods

(2007) L. Ferracina et al.   APPLIED NUMERICAL MATHEMATICS