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Harmonic wavelet analysis – connection coefficients for nonlinear PDE. (English) Zbl 1240.42159

Summary: Harmonic wavelets were recently applied to the solution of evolution problems and, more generally, to describe operators. In this paper their differential properties are studied and the problem of the computation of connection coefficients for nonlinear problems is analyzed .

MSC:

42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
35A35 Theoretical approximation in context of PDEs
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65T60 Numerical methods for wavelets
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