We propose a numerical dissipation switch, which helps to control the amount of numerical dissipation present in central-upwind schemes. Our main goal......
In this paper, a type of full multigrid method is proposed to solve non-selfadjoint Steklov eigenvalue problems. Multigrid iterations for correspondin......
In this paper, we apply two fully-discrete local discontinuous Galerkin (LDG) methods to the compressible wormhole propagation. We will prove the stab......
We develop an implicit-explicit midpoint formula with variable spatial step-sizes and variable time step to solve parabolic partial integro-differenti......
In this paper the nonlinear multi-species Boltzmann equation with random uncertainty coming from the initial data and collision kernel is studied. Wel......
For the Maxwell's equations in a Havriliak-Negami (H-N) dispersive medium, the associated energy dissipation law has not been settled at both continuo......
In this paper, we study the central discontinuous Galerkin (DG) method on overlapping meshes for second order wave equations. We consider the first or......
The Cahn-Hilliard equation is one of the most common models to describe phase separation processes of a mixture of two materials. For a better descrip......
In this paper, we investigate a class of nonlinear eigenvalue problems resulting from quantum physics. We first prove that for any open set G, there e......
We prove well-posedness and regularity of solutions to a fractional diffusion porous media equation with a variable fractional order that may depend o......
We propose and analyze two locking-free three-field virtual element methods for Biot's consolidation model in poroelasticity. One is a high-order sche......
In this paper, we propose a local discontinuous Galerkin (LDG) method for nonlinear and possibly degenerate parabolic stochastic partial differential ......
We devise a first-order in time convex splitting scheme for a nonlocal Cahn-Hilliard-Oono type equation with a transport term and subject to homogeneo......
Convergence rate estimates are obtained for singular limits of the compressible ideal magnetohydrodynamics equations, in which the Mach and Alfven num......
An error estimate is presented for a fully discrete, linearized and stabilized finite element method for solving the coupled system of nonlinear hyper......
