Gottlieb, David; Lustman, Liviu The DuFort-Frankel Chebyshev method for parabolic initial boundary value problems. (English) Zbl 0511.76003 Comput. Fluids 11, 107-120 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 Documents MSC: 76M99 Basic methods in fluid mechanics 35G10 Initial value problems for linear higher-order PDEs 35K25 Higher-order parabolic equations Keywords:DuFort-Frankel Chebyshev method; initial boundary value problems; pseudospectral explicit method; stability theorem PDF BibTeX XML Cite \textit{D. Gottlieb} and \textit{L. Lustman}, Comput. Fluids 11, 107--120 (1983; Zbl 0511.76003) Full Text: DOI OpenURL References: [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.