๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Discrete QMR and BCG in the numerical solution of linear systems of ODEs

โœ Scribed by Elena Celledoni


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
839 KB
Volume
91
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


The numerical solution of discrete-delay
โœ Guang-Da Hu; B. Cahlon ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 253 KB

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.

Conservation laws and the numerical solu
โœ L.F Shampine ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 852 KB

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