Fast Computation of Volume Potentials by Approximate Approximations

Language: English

Published by Springer, Berlin, Springer Nature Switzerland, Next Generation EU And MUR Progetti Di Ricerca Di Rilevante Interesse Nazionale, Springer, 2025

3031974417 / 9783031974410

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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Softcover

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This item is printed on demand - it takes 3-4 days longer - Neuware -This book introduces a new fast high-order method for approximating volume potentials and other integral operators with singular kernel. These operators arise naturally in many fields, including physics, chemistry, biology, and financial mathematics. A major impediment to solving real world problems is the so-called curse of dimensionality, where the cubature of these operators requires a computational complexity that grows exponentially in the physical dimension. The development of separated representations has overcome this curse, enabling the treatment of higher-dimensional numerical problems. The method of approximate approximations discussed here provides high-order semi-analytic cubature formulas for many important integral operators of mathematical physics. By using products of Gaussians and special polynomials as basis functions, the action of the integral operators can be written as one-dimensional integrals with a separable integrand. The approximation of a separated representation of the density combined with a suitable quadrature of the one-dimensional integrals leads to a separated approximation of the integral operator. This method is also effective in high-dimensional cases. The book is intended for graduate students and researchers interested in applied approximation theory and numerical methods for solving problems of mathematical physics. 264 pp. Englisch.…

Seller Inventory # 9783031974410

Title
Fast Computation of Volume Potentials by Approximate Approximations
Author
Flavia Lanzara
Publisher
Springer, Berlin, Springer Nature Switzerland, Next Generation EU And MUR Progetti Di Ricerca Di Rilevante Interesse Nazionale, Springer
Publication year
2025
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3031974417
ISBN 13
9783031974410
Item weight
423 grams
Dimensions
235x155x15 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

Germany