Parallel split-step fourier methods for the CMKdV equation

Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications

Volumn 3, Issue , 2003, Pages 1317-1323

  Taha, Thiab R ^a   Liu, Ruihua ^a  

^a University of Georgia ^*  (United States)

Author keywords

CMKdV; FFTW; Parallel; Split step

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; DISCRETE FOURIER TRANSFORMS; FINITE DIFFERENCE METHOD; WAVE EQUATIONS;

COMPLEX MODIFIED KORTEWEG-DE VRIES EQUATIONS; INVERSE SCATTERING TRANSFORM; MESSAGE PASSING INTERFACE; PARALLEL SPLIT-STEP FOURIER METHODS;

PARALLEL ALGORITHMS;

EID: 1642342234     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. FFTW homepage, http://www.fftw.org
2. B. Fornberg and T. A. Driscoll, A fast spectral algorithm for nonlinear wave equations with linear dispersion, J. Comput. Phys., 155 (1999), 456-467.
3. O. B. Gorbacheva and L. A. Ostrovsky, Nonlinear vector waves in a mechanical model of a molecular chain, Physica, D 8 (1983), 223-228.
4. B. M. Herbst, M. J. Ablowitz and E. Ryan, Numerical homoclinic instabilities and the CMKdV equation, Comput. Phys. Commun., 65 (1991), 137-142.
5. C. F. F. Karney, A. Sen and F. Y. F. Chu, Nonlinear evolution of lower hybrid waves, Phys. Fluids, 22 (1979), 940-952.
6. MPI homepage, http://www-unix.mcs.anal.gov/mpi/
7. G. M. Muslu and H. A. Erbay, A split-step Fourier method for the CMKdV equation, Preprint, (2000).
8. T. R. Taha, Numerical simulations of the CMKdV equation, Mathematics and Computers in Simulation, 37 (1994), 461-467.
9. T. R. Taha and M. J. Ablowitz, Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, NLS equation, J. Comput. Phys., 55 (1984), 203-230.
10. T. R. Taha and M. J. Ablowitz, Analytical and numerical aspects of certain nonlinear evolution equations. IV. Numerical, KdV equation, J. Comput. Phys., 55 (1984), 231-253.
11. T. R. Taha and M. J. Ablowitz, Analytical and numerical aspects of certain nonlinear evolution equations. IV. Numerical MKdV equation, J. Comput. Phys., 77 (1988), 540-548.
12. F. Tappert, Numerical solutions of the KdV equation and its generalizations by the split-step Fourier method, Lect. Appl. Math. Amer. Math. Soc., 15 (1974), 215-216.