Published November 12, 1973
| Version v1
Report
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Solving differential equations with highly separated time constants (Gear method)
Creators
- 1. Centre d'Etudes Nucleaires de Saclay, Services d'Electronique de Saclay, Service d'Electronique pour la Recherche et les Applications, Section d'Assistance Electronique a la Recherche Fondamentale (France)
Description
This report describes the algorithm of Gear recognized as the most powerful for the resolution of stiff equations. The algorithm is developed and explained in a detailed way. Some drawbacks of the algorithm are signaled. So we hope this report will be useful for users confronted with stiff equations which arise in many physical fields. (author)
Abstract (French)
Ce rapport decrit la methode de Gear qui est consideree comme l'une des methodes les plus puissantes pour la resolution des systemes d'equations differentielles a constantes de temps tres differentes. Nous decrivons cet algorithme en detail, essayant de clarifier au maximum les problemes poses dans la resolution de tels systemes. Quelques inconvenients de cet algorithme sont soulignes. Nous esperons ainsi que ce rapport sera un outil utile pour l'utilisateur confronte a des problemes de resolution des equations differentielles a constantes de temps tres differentes, problemes qui concernent differents domaines de la Physique. (auteur)Files
49081576.pdf
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(1.7 MB)
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Additional details
Additional titles
- Original title (French)
- Resolution des equations differentielles a constantes de temps tres separees (Methode de Gear)
Publishing Information
- Imprint Pagination
- 35 p.
- Report number
- CEA-N--1689
INIS
- Country of Publication
- France
- Country of Input or Organization
- France
- INIS RN
- 49081576
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- ACCURACY; ALGORITHMS; CORRECTIONS; DIFFERENTIAL EQUATIONS; ERRORS; INTEGRAL CALCULUS; NUMERICAL SOLUTION; STABILITY; TIME DEPENDENCE
- Descriptors DEC
- EQUATIONS; MATHEMATICAL LOGIC; MATHEMATICAL SOLUTIONS; MATHEMATICS
Optional Information
- Notes
- 17 refs.; Available from the INIS Liaison Officer for France, see the INIS website for current contact and E-mail addresses