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Fast solution of implicit methods for linear hyperbolic equations

✍ Scribed by D.J. Evans; A. Benson

Book ID
103895426
Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
332 KB
Volume
24
Category
Article
ISSN
0378-4754

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✦ Synopsis

A factorisation method is described for the fast numerical solution of constant tridiagonal. Toeplitz linear systems which occur repeatedly in the solution of the implicit finite difference equations derived from linear first order hyperboZic equations, i.e. the Transport equation, under a variety of boundary conditions. In this paper, we show that such special Zinear systems can be solved efficiently by the factorisation of the coefficient matrix &to tie easily inverted matrices.

πŸ“œ SIMILAR VOLUMES

Generalized implicit Euler method for hy
Generalized implicit Euler method for hyperbolic functional differential equations
✍ Wojciech Czernous πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 219 KB

## Abstract Nonlinear hyperbolic functional differential equations with initial boundary conditions are considered. Theorems on the convergence of difference schemes and error estimates of approximate solutions are presented. The proof of the stability of the difference functional problem is based