Difference schemes on non-uniform mesh and their application *
نویسندگان
چکیده
منابع مشابه
Compact Finite Difference Schemes on Non-uniform Meshes. Application to Direct Numerical Simulations of Compressible Flows
In this paper, the development of a fourth(respectively third-) order compact scheme for the approximation of first (respectively second) derivatives on non-uniform meshes is studied. A full inclusion of metrics in the coefficients of the compact scheme is proposed, instead of methods using Jacobian transformation. In the second part, an analysis of the numerical scheme is presented. A numerica...
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In the present paper a general technique is developed for construction of compact high-order finite difference schemes to approximate Schrödinger problems on nonuniform meshes. Conservation of the finite difference schemes is investigated. The same technique is applied to construct compact high-order approximations of the Robin and Szeftel type boundary conditions. Results of computational expe...
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We consider a finite-difference approximation to the Cauchy problem for a firstorder hyperbolic partial differential equation using different mesh spacings in different portions of the domain. By reformulating our problem as a difference approximation to an initial-boundary value problem, we are able to use the theory of H. O. Kreiss and S. Osher to analyze the L3 stability of our scheme. 0. In...
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ژورنال
عنوان ژورنال: Progress in Natural Science
سال: 2004
ISSN: 1002-0071,1745-5391
DOI: 10.1080/10020070412331344441