brown univ providence ri div of applied mathematics, 2007
We have investigated high order finite difference weighted essentially non-oscillatory (WENO) schemes, finite volume WENO schemes and discontinuous Galerkin...
brown univ providence ri div of applied mathematics, 2004
This project is about the algorithm development, analysis, implementation and application aspects of high order finite difference weighted essentially...
army research office research triangle park nc, 2007
We develop a class of Lagrangian schemes for solving the Euler equations of compressible gas dynamics both in the Cartesian and in the cylindrical coordinates....
In this paper, we develop, analyze and test a local discontinuous Galerkin (LDG) method for solving the Camassa-Holm equation which contains nonlinear high...
pennsylvania state univ university park dept of mathematics, 2006
In this paper, we further explore and apply our recent anti-diffusive flux corrected high order finite difference WENO schemes for conservation laws to compute...
In recent years high order numerical methods have been widely used in computational fluid dynamics (CFD), to effectively resolve complex flow features using...
institute for computer applications in science and engineering hampton va, 2000
We consider the enhancement of accuracy, by means of a simple post-processing technique, for nite element approximations to transient hyperbolic equations. The...
university of science and technology of china hefei, 2007
In this paper we develop local discontinuous Galerkin (LDG) methods for the fourth-order nonlinear Cahn-Hilliard equation and system. The energy stability of...
brown univ providence ri div of applied mathematics, 2007
In this paper, we study the strong stability preserving "SSP" property of a class of deferred correction time discretization methods, for solving the...
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