The aim of this paper is double. First, we point out that the hypothesis D(tl)D(t2) = D(t2)D(tl) imposed in [1] can be removed. Second, a constructive method for obtaining analyticnumerical solutions with a prefixed accuracy in a bounded domain gl(to, tl) = [0,p] x [t0,tl], for mixed problems of the
Numerical solution with a priori error bounds of coupled time dependent hyperbolic systems
✍ Scribed by E. Ponsoda; L. Jódar; S. Jerez; A.E. Posso
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 746 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
✦ Synopsis
This paper deals with initial value problems for coupled time dependent hyperbolic partial differential systems. First, an exact solution is obtained using Fourier transform. Then, numerical solution of the underlying differential equations and numerical integration techniques permit the construction of numerical approximations with guaranteed a priorz error bounds.
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