brown univ providence ri div of applied mathematics, 2007
In this paper we develop a high order explicit finite difference weighted essentially non-oscillatory (WENO) scheme for solving a hierarchical size-structured...
brown univ providence ri div of applied mathematics, 2007
We present a multiscale model for numerical simulation of dynamics of crystalline solids. The method couples nonlinear elastodynamics as the continuum...
brown univ providence ri div of applied mathematics, 2007
In this paper, we consider the issue of convergence toward entropy solutions for high order finite volume weighted essentially non-oscillatory (WENO) scheme...
brown univ providence ri div of applied mathematics, 1998
This project is about the design, analysis and application of high order accurate and nonlinearly stable finite difference (including finite volume), finite...
brown univ providence ri div of applied mathematics, 2006
In this paper, we consider convergence of classical high order Godunov-type schemes towards entropy solutions for scalar conservation laws. It is well known...
brown univ providence ri div of applied mathematics, 2007
In this paper we explicitly construct the entropy solutions for the Lighthill-Whitham-Richards (LWR) traffic flow model with a flow-density relationship which...
maryland univ college park md center for scientific computational and mathematical modeling, 2006
The central scheme of Nessyahu and Tadmor [J. Comput. Phys, 87 (1990)] solves hyperbolic conservation laws on a staggered mesh and avoids solving Riemann...