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Dimensionality Reducing Expansion of Multivariate Integration

Dimensionality Reducing Expansion of Multivariate Integration

Hardcover

General MathematicsProbability & Statistics

ISBN10: 081764170X
ISBN13: 9780817641702
Publisher: Springer Nature
Published: Mar 30 2001
Pages: 227
Weight: 1.05
Height: 0.75 Width: 6.37 Depth: 9.54
Language: English
First self-contained, comprehensive treatment of the method of dimensionality reducing expansion (DRE), a powerful technique for changing a higher dimensional integration to a lower dimensional one with or without remainder. DRE has broad connections to a number of areas: numerical integration, pdes and Green's function, harmonic analysis, numerical analysis and approximation theory. Exposition covers the history of the subject and includes up-to-date new results, related to many fields of current research such as boundary element methods for solving pdes and wavelet analysis. Examples, comprehensive bibliography and index included. Useful text or self-study resource for graduate/advanced undergaduate students and researchers in pure and applied mathematics, statistics, and physics.

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