Titlebook: Hyperbolic Problems: Theory, Numerics, Applications; Eighth International Heinrich Freistühler,Gerald Warnecke Conference proceedings 2001

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On the Convergence Rate of Operator Splitting for Weakly Coupled Systems of Hamilton-Jacobi Equatioton-Jacobi equations, we establish a linear.convergence rate for a semi-discrete operator splitting. This paper complements our previous work [3] on the convergence rate of operator splitting for scalar Hamilton-Jacobi equations with source term.

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Proving Existence of Nonlinear Differential Equations Using Numerical Approximations,ution of a near-by problem. The aim is to show existence of stationary viscous shock-wave solutions of hyperbolic conservation laws. The technique is applied to viscous Burgers’ equation. Equations for the difference between the exact and the approximate solution are constructed. Sufficient conditio

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A Wave Propagation Algorithm for the Solution of PDEs on the Surface of a Sphere,nite volume method using gnomonic grid mappings to solve equations relevant to geophysical fluid dynamics. The method is a generalization of the wave propagation algorithm of CLAWPACK for domains which lie on curved manifolds. We show that in this finite volume context it becomes possible to regular