Dimensionality Reducing Expansion of Multivariate Integration
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Beschreibung
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.
Autor*in
Tian-Xiao He
Themen in »Dimensionality Reducing Expansion of Multivariate Integration«
Excel approximation theory harmonic analysis numerical analysis numerical integration numerical quadrature partial differential equation statistics partial differential equations