This paper is a continuation of our first paper ( \(J\). Differential Equations, in press). In this paper, we solve the 2-D Riemann problem with the initial data projecting some contact discontinuities and rarefaction waves. The solutions reveal a variety of geometric structures for the interaction
A numerical method for some initial-value problems of one scalar hyperbolic conservation law
β Scribed by Matthias Kunik
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 570 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0170-4214
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β¦ Synopsis
Abstract
We examine the existence and regularity results for a scalar conservation law with a convexity condition and solve its weak solution with shocks by using a special method of characterization combined with a representation formula for the weak solution.
π SIMILAR VOLUMES
Several methods have been developed for the solution of (1) belonging to Category I. We mention the works of An eighth-order P-stable two-step method for the numerical integration of second-order periodic initial-value problems is developed Raptis and Allison [5], Cash, in this paper. This method ha
Two two-step sixth-order methods with phase-lag of order eight and ten are developed for the numerical integration of the special second-order initial value problem. One of these methods is P-stable and the other has an interval of periodicity larger than the Numerov method. An application to the on