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Wavelets and the numerical solution of partial differential equations. (English) Zbl 0771.65072
The wavelet-Galerkin method for partial differential equations in nonseparable domains is presented. The rate of convergence is found. Numerical results for the Helmholtz equation are given.
Reviewer: I.Evzerov (Kiev)

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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