Modeling the scalar wave equation with Nyström methods

Geophysics

Volumn 71, Issue 5, 2006, Pages

  Chen, Jing Bo ^a  

^a INSTITUTE OF GEOLOGY   (China)

Author keywords

Geophysical techniques; Geophysics computing; Seismology

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; ERRORS; NUMERICAL METHODS; SEISMIC WAVES; SPECTRUM ANALYSIS; WAVE EQUATIONS;

GEOPHYSICAL TECHNIQUES; GEOPHYSICS COMPUTING; NYSTROM METHODS; PSEUDOSPECTRAL SPATIAL DISCRETIZATION; SCALAR WAVE EQUATIONS; SPATIAL DISPERSION ERRORS;

SEISMOLOGY;

ALGORITHM; GEOPHYSICAL METHOD; MODELING; SEISMOLOGY; SIMULATION; WAVE EQUATION;

EID: 33748879125     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.2335505     Document Type: Article

References (15)

1. Chen, J. B., 2004, Multisymplectic geometry for the seismic wave equation: Communications in Theoretical Physics, 41, 561-566. ctp CTPHDI 0253-6102
2. Chen, J. B., and M. Z. Qin, 2001, Multisymplectic Fourier pseudospectral method for the nonlinear Schrödinger equation: Electronic Transactions on Numerical Analysis, 12, 193-204. c27 ETNAB7 1097-4067
3. Ciarlet, P. G., and J. L. Lions, 1991, Handbook of numerical analysis: North-Holland.
4. Claerbout, J. F., 1985, Imaging the earth's interior: Blackwell Scientific Publications, Inc.
5. Etgen, J. T., 1986, High-order finite-difference reverse migration with the two-way non-reflecting wave equation: SEP-48: Stanford University.
6. Feng, K., 1993, The collected works of Feng Kang: Defence Industrial Press.
7. Fornberg, B., 1996, A practical guide to pseudospectral method: Cambridge Univ. Press.
8. Gazdag, J., 1981, Modeling of the acoustic wave equation with transform methods: Geophysics, 46, 854-859. gpy GPYSA7 0016-8033 10.1190/1.1441223
9. Hairer, E., C. Lubich, and G. Warnner, 2002, Geometric numerical integration: Springer-Verlag, Berlin.
10. Hairer, E., S. P. Nøsett, and G. Warnner, 1993, Solving ordinary differential equations I: Springer-Verlag, Berlin.
11. Luo, M. Q., H. Liu, and Y. M. Li, 2001, Hamiltonian description and symplectic method of seismic wave propagation: Chinese Journal of Geophysics, 44, 120-128.
12. Nyström, E. J., 1925, Über die numerische integration von differentialgleichungen: Acta Societe Scientiarum Fennicae, 50, 1-54.
13. Olver, P. J., 1993, Applications of Lie groups to differential equations: Springer-Verlag, New York.
14. Qin, M. Z., and W. J. Zhu, 1991, Canonical Runge-Kutta-Nyström methods for second order ODE's: Computational Mathematics Applications, 22, 85-95. cap CMAPDK 0898-1221
15. Sanz-Serna, J. M., and M. Calvo, 1994, Numerical Hamiltonian problems: Chapman and Hall.