In Part I the extended Clenshaw-Curtis method for ÿnite Fourier integrals is discussed, and a number of timed comparisons are made between the various implementations which appear in the literature. Part II deals with irregular oscillatory integrals and outlines the various methods which have been p
A comparison of some codes for the stiff oscillatory problem
✍ Scribed by J.R. Cash
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 472 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
In 1984, Gaffney [1]
carried out a survey of codes for the numerical solution of the stiff oscillatory problem. This was prompted by a desire to derive an efficient method of lines algorithm for the reduced resistive MHD equations. His main conclusion was that none of the codes available at that time was entirely satisfactory for dealing with this problem. In the present paper, we outline the considerable progress that has been made since Gaffney's survey and show that there now exist much more satisfactory codes for dealing with these problems. Two of the three FORTRAN codes that we recommend are both freely available from NETLIB, as well as from certain web pages, and so it is straightforward to reproduce all the numerical results given in the present paper. (~) 1998 Elsevier Science Ltd. All rights reserved.
📜 SIMILAR VOLUMES
We consider the combustion equation as one of the candidates from the class of stiff ordinary differential equations. A solution over a length of time that is inversely proportional to δ > 0 (where δ > 0 is a small disturbance of the pre-ignition state) is sought. This problem has a transient at the
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