Istituto di Matematica Applicata e Tecnologie Informatiche     
Bertoluzza S., Canuto C., Urban K. On the adaptive computation of integrals of wavelets. Preprint ercim.cnr.ian//1999-1129, 1999.
The numerical solution of partial differential equations involves the computation of integrals of products of given functions and (derivatives of) trial and test functions. We study this problem using adaptively chosen wavelet bases. Firstly, we reduce this problem to the computation of 1-dimensional integrals. Then, we consider appropriate adaptive approximations and study the induced error. Finally, we present an algorithm for computing these integrals and give numerical results.
Subject Partial differential equations, integrals, wavelets, adaptive methods
35B65, 41A25, 65F99

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