A Fast Spectral Algorithm for Nonlinear Wave Equations with Linear Dispersion

作者: Bengt Fornberg , Tobin A. Driscoll

DOI: 10.1006/JCPH.1999.6351

关键词:

摘要: … Spectral algorithms offer very high spatial resolution for a wide range of nonlinear wave … Classical (ie, low-order) finite difference or finite element schemes are far more costly. For …

参考文章(18)
Bertil Gustafsson, Heinz-Otto Kreiss, Joseph Oliger, Time Dependent Problems and Difference Methods Time-Dependent Problems and Difference Methods. ,(2013) , 10.1002/9781118548448
Bosco Garcı́a-Archilla, Some Practical Experience with the Time Integration of Dissipative Equations Journal of Computational Physics. ,vol. 122, pp. 25- 29 ,(1995) , 10.1006/JCPH.1995.1193
Tony F. Chan, Tom Kerkhoven, FOURIER METHODS WITH EXTENDED STABILITY INTERVALS FOR THE KORTEWEG-DE VRIES EQUATION. SIAM Journal on Numerical Analysis. ,vol. 22, pp. 441- 454 ,(1985) , 10.1137/0722026
Paul A. Milewski, Esteban G. Tabak, A PseudoSpectral Procedure for the Solution of Nonlinear Wave Equations with Examples from Free-Surface Flows SIAM Journal on Scientific Computing. ,vol. 21, pp. 1102- 1114 ,(1999) , 10.1137/S1064827597321532
Syvert Paul Norsett, Ernst Hairer, Gerhard Wanner, Solving Ordinary Differential Equations I: Nonstiff Problems ,(1987)
N. J. Zabusky, M. D. Kruskal, Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States Physical Review Letters. ,vol. 15, pp. 240- 243 ,(1965) , 10.1103/PHYSREVLETT.15.240