Fast Computation of Volume Potentials by Approximate Approximations

Häftad, Engelska, 2025

Del 2378 i serien Lecture Notes in Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2025-08-31
Mått:155 x 235 x 16 mm
Vikt:423 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:264
Förlag:Springer International Publishing AG
ISBN:9783031974410

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Flavia Lanzara is an associate professor at the Department of Mathematics, University of Rome "La Sapienza" (Italy). Her main research interests are partial differential equations, potential theory, complex analysis, numerical analysis and their applications.Vladimir Maz’ya is a retired Swedish mathematician of worldwide reputation. The author of more than 500 publications, including 20 research monographs, he strongly influenced the development of mathematical analysis and the theory of partial differential equations, as well as the theory of mesoscale asymptotics and numerical analysis.Gunther Schmidt is a retired German mathematician from the Weierstrass Institute for Applied Analysis and Stochastics in Berlin. His main research interests have been approximation theory, theoretical and numerical analysis of integral equation and boundary element methods and their application to electromagnetics and optics.

Innehållsförteckning

Chapter 1. Introduction.- Chapter 2. Quasi-interpolation.- Chapter 3. Approximation of integral operators.- Chapter 4. Some other cubature problems.- Chapter 5. Approximate solution of non-stationary problems.- Chapter 6. Integral operators over hyper-rectangular domains.