This paper studies approximate multiresolution analysis for spaces generated by smooth functions providing high-order semi-analytic cubature formulas for multidimensional integral operators of mathematical physics. Since these functions satisfy refinement equations with any prescribed accuracy, meth
Potentials of Gaussians and approximate wavelets
β Scribed by Vladimir Maz'ya; Gunther Schmidt
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 183 KB
- Volume
- 280
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
We derive new formulas for harmonic, diffraction, elastic, and hydrodynamic potentials acting on anisotropic Gaussians and approximate wavelets. These formulas can be used to construct accurate cubature formulas for these potentials. (Β© 2007 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
π SIMILAR VOLUMES
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