Polynomial Time-Marching for Three-Dimensional Wave Equations

Journal of Scientific Computing

Volumn 12, Issue 4, 1997, Pages 465-477

  Luo, Yong ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Boundary value problems; Chebyshev collocation; Differential matrix; Three dimensional problems; Time marching

Indexed keywords

BOUNDARY CONDITIONS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIALS;

POLYNOMIAL TIME-MARCHING; WAVE EQUATIONS;

INTERPOLATION;

EID: 0031368580     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025633130781     Document Type: Article

References (10)

1. Canuto, C., Hussaini, M. Y., Quarteroni, A., and Zang, T. A. (1988). Spectral Methods in Fluid Dynamics, Springer-Verlag, Berlin.
2. Gottlieb, D., Hussaini, M. Y., and Orzarg, S. A. (1984). Introduction: Theory and Applications of Spectral Methods, SIAM, Philadelphia.
3. Luo, Y. (1994). Simulating Wave Scattering Problems by Pseudospectral Time-marching on Supercomputers, Ph.D. Thesis, The University of British Columbia, Vancouver.
4. Luo, Y., and Yedlin, M. J. (1994). Polynomial Time-Marching for Nonperiodic Boundary Value Problems, J. Sci. Comput. 9, 123-136.
5. Luo, Y., and Yedlin, M. J. (1995). Pseudospectral polynomial time-marching for nonreflecting boundary problems, J. Sci. Comput. 12, 31-50.
6. Morse, P. M., and Freshbach, H. (1953). Methods of Theoretical Physics, McGraw-Hill Book, New York.
7. Tal-Ezer, H. (1986). Spectral Methods in Time for Hyperbolic Equations. SIAM J. Numer. Anal. 23, 11-26.
8. Tal-Ezer, H. (1989). Polynomial Approximation of Functions of Matrices and Applications, J. Sci. Comput. 4, 25-60.
9. Tal-Ezer, H. (1991). High Degree Polynomial Interpolation in Newton Form, SIAM J. Sci. Stat. Comput. 12, 648-667.
10. Zhao, S. (1993). Chebyshev Spectral Methods for Potential Field Computation, Ph.D. Thesis, The University of British Columbia, Vancouver.