Dispersion-Relation-Preserving Finite Difference Schemes for Computational Acoustics
β Scribed by Christopher K.W. Tam; Jay C. Webb
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 857 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0021-9991
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In this paper, we investigate accurate and efficient time advancing methods for computational acoustics, where nondissipative and In this paper, we investigate accurate and efficient timenondispersive properties are of critical importance. Our analysis advancing schemes for computational acoustics.
Spatial finite difference and three-level time schemes for the Korteweg-de Vries (KdV) and related equations are studied. The stability conditions are derived from a uniform framework based on the Schur--Cohn theory of simple Von Neumann polynomials. Numerical results and comparisons with other meth
## Abstract An improved positivityβpreserving nonstandard finite difference scheme for the linear damped wave equation is presented. Unlike an earlier such scheme developed by the authors, the new scheme involves three time levels and is therefore able to include the effects of the equation's relax