A discretization scheme for some conservative problems
✍ Scribed by J.A. Ezquerro; M.A. Hernández; M.A. Salanova
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 115 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
We approximate a locally unique solution of an equation in Banach spaces using a Newton-like method of R-order three. Then we apply this method to obtain an existence-uniqueness result for a basic conservative problem given by a nonlinear boundary-value problem. Next, by means of a discretization method, we approximate the solution of the conservative problem.
📜 SIMILAR VOLUMES
The present paper is a sequel to two previous papers in which rigorous, up to fourth-order, fully discrete (FD) upwind TVD schemes have been presented. In this paper we discuss in detail the extension of these schemes to solutions of non-linear hyperbolic systems. The performance of the schemes is a