Error estimates for a fully discrete spectral scheme for a class of nonlinear, nonlocal dispersive wave equations
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[1] T. Miloh,et al. A note on the numerical and N-soliton solutions of the Benjamin-Ono evolution equation , 1993 .
[2] R. D. Richtmyer,et al. Difference methods for initial-value problems , 1959 .
[3] T. Benjamin. Internal waves of permanent form in fluids of great depth , 1967, Journal of Fluid Mechanics.
[4] T. Driscoll,et al. Regular Article: A Fast Spectral Algorithm for Nonlinear Wave Equations with Linear Dispersion , 1999 .
[5] A. Quarteroni,et al. Error analysis for spectral approximation of the Korteweg-De Vries equation , 1988 .
[6] C. Canuto. Spectral methods in fluid dynamics , 1991 .
[7] T. Chan,et al. FOURIER METHODS WITH EXTENDED STABILITY INTERVALS FOR THE KORTEWEG-DE VRIES EQUATION. , 1985 .
[8] J. Bona,et al. Nonlocal models for nonlinear, dispersive waves , 1990 .
[9] B. Mercier,et al. An introduction to the numerical analysis of spectral methods , 1989 .
[10] Thomas Y. Hou,et al. The long-time motion of vortex sheets with surface tension , 1997 .
[11] V. Thomée,et al. A numerical method for the Benjamin-Ono equation , 1998 .
[12] A. S. Fokas,et al. A unified transform method for solving linear and certain nonlinear PDEs , 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[13] V. A. Dougalis,et al. Numerical Solution of Some Nonlocal, Nonlinear Dispersive Wave Equations , 2000, J. Nonlinear Sci..
[14] A. Fokas,et al. On the periodic intermediate long wave equation , 1982 .
[15] Bengt Fornberg,et al. A numerical and theoretical study of certain nonlinear wave phenomena , 1978, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.
[16] Alan C. Newell,et al. Solitons in mathematics and physics , 1987 .
[17] 児玉 裕治,et al. A. C. Newell: Solitons in Mathematics and Physics, Society for Industrial and Applied Mathematics, Pennsylvania, 1985, xvi+244ページ, 26×18.5cm, 10,030円 (CBMS-NSF Regional Conference Series in Applied Mathematics). , 1986 .
[18] T. Kubota,et al. Weakly-Nonlinear, Long Internal Gravity Waves in Stratified Fluids of Finite Depth , 1978 .
[19] Ohannes A. Karakashian,et al. Convergence of Galerkin Approximations for the Korteweg-de Vries Equation, , 1983 .