Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638312 | Journal of Computational and Applied Mathematics | 2015 | 24 Pages |
Abstract
This paper deals with derivation of a Gauss-type quadrature rule (named as Gauss–Daubechies quadrature rule) for numerical evaluation of integrals involving product of integrable function and Daubechies scale functions/wavelets. Some of the nodes and weights of the quadrature formula may be complex and appear with their conjugates. This is in contrast with the standard Gauss-type quadrature rule for integrals involving products of integrable functions and non-negative weight functions. This quadrature rule has accuracy as good as the standard Gauss-type quadrature rule and is also found to be stable. The efficacy of the quadrature rule derived here has been tested through some numerical examples.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M.M. Panja, B.N. Mandal,