In this note, we consider the numerical solution of initiM-value discrete-delay systems. An interpolation procedure is introduced to compute the numerical solution. The stability of the interpolation procedure for linear discrete-delay systems is discussed.
Discrete QMR and BCG in the numerical solution of linear systems of ODEs
โ Scribed by Elena Celledoni
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 839 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
In this paper we consider the use of QMR and BCG in the numerical solution of linear systems of ODEs reformulated as second kind integral equations. The implementation of the methods is performed in practice by applying them on suitably discretized equations. An important issue in this contest is to compare the behaviour of the discrete and continuous iteration.
Here we consider the case of linear systems of ODEs. The discretization is performed using a continuous Runge-Kutta method. A numerical experiment concludes the paper. (~) 1998 Elsevier Science B.V. All rights reserved.
๐ SIMILAR VOLUMES
Some ODEs have conservation laws, functions of a solution with constant values. Generally, numerical solutions do not satisfy these laws. This can mean that the numerical solution does not have the right qualitative behavior. The theory and practice of imposing conservation laws by projection is de