On the use of spectral methods for stiff problems

Herve Guillard 1 Roger Peyret 1
1 SINUS - Numerical Simulation for the Engineering Sciences
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : This paper describes some aspects of the use of spectral methods for the numerical solution of systems of stiff partial differential equations. It is shown that despite the high spatial precision of these methods, a reasonable accuracy can only be attained with a large number of number and therefore, some kind of adaptive 'gridding' is necessary. A way to implement this adaptation based on the computation of a norm of the solution is proposed. Numerical examples concerning flame propagation problems and Burges' equation are presented and discussed.
Type de document :
Article dans une revue
Computer Methods in Applied Mechanics and Engineering, Elsevier, 1988, 66 (1), pp.17-43. 〈10.1016/0045-7825(88)90058-8〉
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https://hal.inria.fr/hal-00870010
Contributeur : Herve Guillard <>
Soumis le : vendredi 4 octobre 2013 - 16:18:18
Dernière modification le : vendredi 12 janvier 2018 - 11:01:54

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Herve Guillard, Roger Peyret. On the use of spectral methods for stiff problems. Computer Methods in Applied Mechanics and Engineering, Elsevier, 1988, 66 (1), pp.17-43. 〈10.1016/0045-7825(88)90058-8〉. 〈hal-00870010〉

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