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Stabilité et convergence des méthodes spectrales polynomiales. Application à l’équation d’advection. (French) Zbl 0487.65032


MSC:

65J10 Numerical solutions to equations with linear operators
35G10 Initial value problems for linear higher-order PDEs
35K25 Higher-order parabolic equations
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs

Citations:

Zbl 0412.65058
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References:

[1] 1 D GOTTLIEB, S. A. ORSZAG, Numerical Analysis of Spectral methods, SIAM F Regional conferences # 26, 1977 Zbl0412.65058 · Zbl 0412.65058
[2] 2 P J LAURENT, Approximation et Optimisation, Hermann, Paris, 1972 Zbl0238.90058 MR467080 · Zbl 0238.90058
[3] 3 P J DAVIS, P RABINOWITZ, Methods of Numerical Integration, Academic Press, 1975 Zbl0304.65016 MR760629 · Zbl 0304.65016
[4] 4 C CANUTO, P QUARTERONI, à paraître
[5] 5 J D LAMBERT, Computational Methods in Ordinary Differential Equations, John Wiley & Sons, New York, 1973 Zbl0258.65069 MR423815 · Zbl 0258.65069
[6] 6 L AUSLANDER, R TOLIMIERI, Is Computing with the finite Fourier Transform pure or applied Mathematics ? Bull (New Series) AMS, 1,6 (1979) 847-898 Zbl0475.42014 MR546312 · Zbl 0475.42014 · doi:10.1090/S0273-0979-1979-14686-X
[7] 7 R GLOWINSKI, J L LIONS, R TREMOLIERES, Analyse Numérique des Inéquations VariationneIles, Dunod, 1976 Zbl0358.65091 · Zbl 0358.65091
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