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Wavelet-Galerkin discretization of hyperbolic equations. (English) Zbl 0838.65096

The authors study the relative merits of the wavelet Galerkin solution of hyperboic partial differential equations in comparison to the traditional finite difference and Fourier pseudospectral methods. The wavelet-Galerkin solution presented here is found to be a viable alternative to the conventional techniques. Numerical results are presented in support of the above conclusion.
Reviewer: T.C.Mohan (Madras)

MSC:

65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L15 Initial value problems for second-order hyperbolic equations
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