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Fourier analysis of numerical approximations of hyperbolic equations. With a foreword by Garrett Birkhoff. (English) Zbl 0495.65041

SIAM Studies in Applied Mathematics, 5. Philadelphia: SIAM - Society for Industrial and Applied Mathematics. (Distr. by John Wiley & Sons). XII, 140 p. $ 21.50; £13.00 (1982).

MSC:

65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
35L15 Initial value problems for second-order hyperbolic equations
35L45 Initial value problems for first-order hyperbolic systems
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
65T40 Numerical methods for trigonometric approximation and interpolation
65G50 Roundoff error