38 citations · 89 across the 10 of their papers we have counts for
3 papers · 1 filter
A high-order finite difference WENO scheme for ideal magnetohydrodynamics on curvilinear meshes
Andrew J. Christlieb, Xiao Feng, Yan Jiang +1
A high-order finite difference numerical scheme is developed for the ideal magnetohydrodynamic equations based on an alternative flux formulation of the weighted essentially non-os…
Kernel Based High Order "Explicit" Unconditionally-Stable Scheme for Nonlinear Degenerate Advection-Diffusion Equations
Andrew Christlieb, Wei Guo, Yan Jiang
In this paper, we present a novel numerical scheme for solving a class of nonlinear degenerate parabolic equations with non-smooth solutions. The proposed method relies on a specia…
Energy Stable Discontinuous Galerkin Methods for Maxwell's Equations in Nonlinear Optical Media
Vrushali A. Bokil, Yingda Cheng, Yan Jiang +1
The propagation of electromagnetic waves in general media is modeled by the time-dependent Maxwell's partial differential equations (PDEs), coupled with constitutive laws that desc…