defibrillator 发表于 2025-3-26 22:42:36
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 on the convergence rate of operator splitting for scalar Hamilton-Jacobi equations with source term.爱社交 发表于 2025-3-27 02:58:15
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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制造 发表于 2025-3-28 09:03:15
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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