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The DuFort-Frankel Chebyshev method for parabolic initial boundary value problems. (English) Zbl 0511.76003


MSC:

76M99 Basic methods in fluid mechanics
35G10 Initial value problems for linear higher-order PDEs
35K25 Higher-order parabolic equations
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[1] Engquist, B.; Majda, A., Absorbing boundary conditions for the numerical simulation of waves, Math. comput., 31, 629-651, (1977) · Zbl 0367.65051
[2] Gantmacher, F.R., The theory of matrices, (1974), Chap. XV, Sec. 6-14. Chelsea, New York
[3] Gottlieb, D.; Gustafsson, B., Generalized dufort-frankel methods for parabolic initial-boundary value problems, SIAM J. numer. anal., 13, 129-144, (1976) · Zbl 0344.35048
[4] Gottlieb, D.; Lustman, L.; Orszag, S.A., Spectral calculations of one-dimensional inviscid compressible flow, SIAM J. sci. statis. comput., 2, 3, 296-310, (1981) · Zbl 0561.76076
[5] Gottlieb, D., On the stability of pseudospectral Chebyshev methods, Math. comput., 36, 153, 107-118, (1981) · Zbl 0469.65076
[6] Gottlieb, D.; Turkel, E., On time discretizations for spectral methods, Stud. appl. math., 63, 67-86, (1980) · Zbl 0453.65059
[7] Orszag, S.A., Spectral methods for problems in complex geometry, J. computational phys., 37, 70-92, (1980) · Zbl 0476.65078
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