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

A new type of increasingly high-order multi-resolution trigonometric WENO schemes for hyperbolic conservation laws and highly oscillatory problems

(2020) Yanmeng Wang et al.   COMPUTERS & FLUIDS

Kernel Based High Order “Explicit” Unconditionally Stable Scheme for Nonlinear Degenerate Advection-Diffusion Equations

(2020) Andrew Christlieb et al.   JOURNAL OF SCIENTIFIC COMPUTING

A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes

(2019) Jun Zhu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

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

A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes

(2019) Jun Zhu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A new type of multi-resolution WENO schemes with increasingly higher order of accuracy

(2018) Jun Zhu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A high-order weighted essentially non-oscillatory (WENO) finite difference scheme for nonlinear degenerate parabolic equations

(2013) Rooholah Abedian et al.   COMPUTER PHYSICS COMMUNICATIONS

An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax--Wendroff Time Discretization for Conservation Laws

(2013) Yan Jiang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

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

On the positivity of linear weights in WENO approximations

(2009) Yuan-yuan Liu et al.   Acta Mathematicae Applicatae Sinica-English Series

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

(2009) Chi-Wang Shu   SIAM REVIEW

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

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