Computer Science – Numerical Analysis
Scientific paper
May 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978rspta.289..373f&link_type=abstract
Royal Society (London), Philosophical Transactions, Series A, vol. 289, no. 1361, May 2, 1978, p. 373-404. Navy-supported resea
Computer Science
Numerical Analysis
117
Fourier Transformation, Nonlinear Equations, Numerical Analysis, Solitary Waves, Wave Equations, Wave Packets, Dynamic Stability, Error Analysis, Spatial Dependencies, Wave Interaction
Scientific paper
An efficient numerical method is developed for solving nonlinear wave equations typified by the Korteweg-de Vries equation and its generalizations. The method uses a pseudospectral (Fourier transform) treatment of the space dependence together with a leap-frog scheme in time. It is combined with theoretical discussions in the study of a variety of problems including solitary wave interactions, wave breaking, the resolution of initial steps and wells, and the development of nonlinear wavetrain instabilities.
Fornberg Bengt
Whitham G. B.
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