This paper is concerned with two aspects of the numerical calculation of integral transforms. The first is finding a necessary and sufficient condition that enables converting an integral transform into a correlation (convolution) form. The condition and the transformation that implements it are gen
Fast method for computing the Fourier integral transform via Simpson's numerical integration
β Scribed by P. Simonen; H. Olkkonen
- Book ID
- 119069199
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 320 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0141-5425
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π SIMILAR VOLUMES
We develop a fast fully discrete Fourier-Galerkin method for solving a class of singular boundary integral equations. We prove that the number of multiplications used in generating the compressed matrix is O(n log 3 n), and the solution of the proposed method preserves the optimal convergence order
## Abstract Slater orbital __r__~12~^β1^ integrals are calculated with a numerical Fourierβtransform method based on a formulation first given by Bonham, Peacher and Cox. Spherical wave expansions are introduced that decouple the Feynman integrations for the charge distribution Fourier transforms.