Software Tools for Using Wavelets on the Interval for the Numerical Solution of Operator Equations
نویسندگان
چکیده
SUMMARY One possibility to use wavelet methods for numerically solving elliptic operator equations on fairly general domains is a domain decomposition approach. Employing parametric mappings to a reference cube, one is left with the problem of the construction and implementation of wavelet bases on cubes. In this paper, we review the basic construction principles of wavelets on the interval which are used in a tensorproduct basis for the cube. We describe software tools developed to that purpose and show the application to the solution of a Helmholtz problem.
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