PSEUDOSPECTRAL VS. FINITE-DIFFERENCE METHODS FOR INITIAL-VALUE PROBLEMS WITH DISCONTINUOUS COEFFICIENTS

Authors
LUO ED KREISS HO
Citation
Ed. Luo et Ho. Kreiss, PSEUDOSPECTRAL VS. FINITE-DIFFERENCE METHODS FOR INITIAL-VALUE PROBLEMS WITH DISCONTINUOUS COEFFICIENTS, SIAM journal on scientific computing (Print), 20(1), 1999, pp. 148-163
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on scientific computing (Print) → ACNP
ISSN journal
10648275
Volume
20
Issue
1
Year of publication
1999
Pages
148 - 163
Database
ISI
SICI code
1064-8275(1999)20:1<148:PVFMFI>2.0.ZU;2-4
Abstract
An initial value problem with piecewise-constant coefficients is consi dered. The accuracies for both finite difference methods and the pseud ospectral method are analyzed, and a modification of the initial value problem is suggested. The modified problem is shown to have the same temporal period as the original problem does, and a second-order accur acy is obtained for the pseudospectral method at integral multiples of the temporal period.