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  Paper for CRC Press On wavelet-based algorithms for solving differential equations.

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by G. Beylkin
ftp://amath.colorado.edu/pub/wavelets/papers/bvp.ps.Z
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Abstract:

The role of the orthonormal wavelet bases in solving integral equations has been studied in [4], where it was observed that wide classes of operators have sparse representations in the wavelet bases thus permitting a number of fast algorithms for applying these

Citations

384 A multigrid tutorial – Briggs - 1987
337 Fast wavelet transforms and numerical algorithms – Beylkin, Coifman, et al. - 1991
243 Parallel Multilevel Preconditioners – Bramble, Pasciak, et al. - 1990
102 On the representation of operators in bases of compactly supported wavelets – Beylkin - 1992
91 Multiresolution analysis, wavelets and fast algorithms on an interval – COHEN, DAUBECHIES, et al. - 1993
56 Wavelet methods for fast resolution of elliptic problems – Jaffard - 1992
19 Wavelets in numerical analysis – Beylkin, Coifman, et al. - 1992
11 Wavelets for the fast solution of second-kind integral equations – Alpert, Beylkin, et al. - 1993
9 On the numerical solution of two-point boundary value problems – Greengard, Rokhlin - 1991
8 Iterative Berechnung der reziproken Matrix – Schulz - 1933