科研之友
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摘要
The purpose of the paper is to propose a stable algorithm for the numerical evaluation of the Hankel transform F(n)(y) of order n of a function f(x) using Haar wavelets. The integrand root x f(x) is replaced by its wavelet decomposition. Thus representing F(n)(y) as a series with coefficients depending strongly on the local behavior of the function root x f(x), thereby getting an efficient and stable algorithm for their numerical evaluation. Numerical evaluations of test functions with known analytical Hankel transforms illustrate the proposed algorithm.
- 出版日期2010-4
