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Daubechies wavelets on intervals with application to BVPs. (English) Zbl 1099.65146
Summary: In this paper, Daubechies wavelets on intervals are investigated. An analytic technique for evaluating various types of integrals containing the scaling functions is proposed; they are compared with classical techniques. Finally, these results are applied to two-point boundary value problems.

65T60 Numerical methods for wavelets
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
34B05 Linear boundary value problems for ordinary differential equations
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