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Applications of matrix Padé approximants in potential theory

✍ Scribed by P.R Graves-Morris

Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
300 KB
Volume
114
Category
Article
ISSN
0003-4916

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✦ Synopsis

The method of variational matrix Pade approximants is seen to unify the Green's function method and the variational principle for calculating scattering amplitudes. The surprising result that exact answers can be obtained for square well potentials is thereby proved, and the remarkable accuracy of the matrix Pad6 method for more general potentials is explained.

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Wavelet approximations on closed surface
Wavelet approximations on closed surfaces and their application to boundary-value problems of potential theory
✍ Willi Freeden; Frank Schneider 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 399 KB 👁 1 views

## Communicated by H. Neunzert Wavelets on closed surfaces in Euclidean space 1 are introduced starting from a scale discrete wavelet transform for potentials harmonic down to a spherical boundary. Essential tools for approximation are integration formulas relating an integral over the sphere to s