A Class of Bases in L for the Sparse Representation of Integral Operators
نویسنده
چکیده
A class of multi-wavelet bases for L2 is constructed with the property that a variety of integral operators is represented in these bases as sparse matrices, to high precision. In particular, an integral operator K whose kernel is smooth except along a nite number of singular bands has a sparse representation. In addition, the inverse operator (I K) 1 appearing in the solution of a second-kind integral equation involving K is often sparse in the new bases. The result is an order O(n log n) algorithm for numerical solution of a large class of second-kind integral equations.
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تاریخ انتشار 1999