Dimensionality Reducing Expansion of Multivariate Integration - Brossura

He, Tian-Xiao

Brossura

ISBN 10: 1461274141 ISBN 13: 9781461274148

Casa editrice: Birkhäuser, 2011

Riassunto

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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Contenuti

Preface * Dimensionality Reducing Expansion of Multivariate Integration * Boundary Type Quadrature Formulas with Algebraic Precision * The Integration and DREs of Rapidly Oscillating Functions * Numerical Quadrature Formulas Associated with the Integration of Rapidly Oscillating Functions * DREs Over Complex Domains * Exact DREs Associated with Differential Equations * Bibliography * Index

Product Description

Book by He TianXiao

Dettagli dell'edizione

• Editore: Birkhäuser
• Data di pubblicazione: 2011
• Lingua: Inglese
• ISBN 10: 1461274141
• ISBN 13: 9781461274148
• Rilegatura: Copertina flessibile
• Numero di pagine: 240
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania