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Application of the Difference Gaussian Rules to Solution of Hyperbolic Problems

✍ Scribed by Sergey Asvadurov; Vladimir Druskin; Leonid Knizhnerman

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
389 KB
Volume
158
Category
Article
ISSN
0021-9991

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πŸ“œ SIMILAR VOLUMES

Application of the Difference Gaussian R
Application of the Difference Gaussian Rules to Solution of Hyperbolic Problems: II. Global Expansion
✍ Sergey Asvadurov; Vladimir Druskin; Leonid Knizhnerman πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 351 KB

This work is the sequel to S. Asvadurov et al. (2000, J. Comput. Phys. 158, 116), where we considered a grid refinement approach for second-order finite-difference time domain schemes. This approach permits one to compute solutions of certain wave equations with exponential superconvergence. An algo

Solution of nonlinear boundary value pro
Solution of nonlinear boundary value problemsβ€”VI. Application of compact high-order-difference schemes
✍ M. Kubíček; V. HlavÑček; J. Caha πŸ“‚ Article πŸ“… 1972 πŸ› Elsevier Science 🌐 English βš– 434 KB

Three types of difference approximations are used for solution of nonlinear boundary value problems. The schemes considered take advantage simultaneously of all grid points. Tables of coefficients used in the approximations are reported. The methods suggested are illustrated by an example.