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The Theory of Cubature Formulas - S.L. Sobolev, Vladimir Vaskevich
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S.L. Sobolev, Vladimir Vaskevich:
The Theory of Cubature Formulas - nouveau livre

ISBN: 9780792346319

ID: 9780792346319

This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree. These formulas are intended to approximate the calculation of multiple and conventional integrals over a bounded domain of integration. The latter is assumed to have a piecewise-smooth boundary and to be arbitrary in other aspects. Particular emphasis is placed on invariant cubature formulas and those for a cube, a simplex, and other polyhedra. Here, the techniques of functional This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree. These formulas are intended to approximate the calculation of multiple and conventional integrals over a bounded domain of integration. The latter is assumed to have a piecewise-smooth boundary and to be arbitrary in other aspects. Particular emphasis is placed on invariant cubature formulas and those for a cube, a simplex, and other polyhedra. Here, the techniques of functional analysis and partial differential equations are applied to the classical problem of numerical integration, to establish many important and deep analytical properties of cubature formulas. The prerequisites of the theory of many-dimensional discrete function spaces and the theory of finite differences are concisely presented. Special attention is paid to constructing and studying the optimal cubature formulas in Sobolev spaces. As an asymptotically optimal sequence of cubature formulas, a many-dimensional abstraction of the Gregory quadrature is indicated. Audience: This book is intended for researchers having a basic knowledge of functional analysis who are interested in the applications of modern theoretical methods to numerical mathematics. Textbooks New, Books~~Mathematics~~Counting & Numeration, Theory-of-Cubature-Formulas~~S-L-Sobolev, 999999999, The Theory of Cubature Formulas, S.L. Sobolev, Vladimir Vaskevich, 0792346319, Springer Netherlands, , , , , Springer Netherlands

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The Theory Of Cubature Formulas
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The Theory Of Cubature Formulas - nouveau livre

ISBN: 9780792346319

ID: 6386155

This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree. These formulas are intended to approximate the calculation of multiple and conventional integrals over a bounded domain of integration. The latter is assumed to have a piecewise-smooth boundary and to be arbitrary in other aspects. Particular emphasis is placed on invariant cubature This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree. These formulas are intended to approximate the calculation of multiple and conventional integrals over a bounded domain of integration. The latter is assumed to have a piecewise-smooth boundary and to be arbitrary in other aspects. Particular emphasis is placed on invariant cubature formulas and those for a cube, a simplex, and other polyhedra. Here, the techniques of functional analysis and partial differential equations are applied to the classical problem of numerical integration, to establish many important and deep analytical properties of cubature formulas. The prerequisites of the theory of many-dimensional discrete function spaces and the theory of finite differences are concisely presented. Special attention is paid to constructing and studying the optimal cubature formulas in Sobolev spaces. As an asymptotically optimal sequence of cubature formulas, a many-dimensional abstraction of the Gregory quadrature is indicated. Audience: This book is intended for researchers having a basic knowledge of functional analysis who are interested in the applications of modern theoretical methods to numerical mathematics. Books, Science and Geography~~Mathematics~~Calculus & Mathematical Analysis, The Theory Of Cubature Formulas~~Book~~9780792346319~~V.L. Vaskevich, S.L. Sobolev, , , , , , , , , ,, [PU: Kluwer Academic Publishers]

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Sobolev, S. L.;Vaskevich, Vladimir L.: The Theory of Cubature Formulas
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Sobolev, S. L.;Vaskevich, Vladimir L.: The Theory of Cubature Formulas - nouveau livre

ISBN: 9780792346319

ID: 90494797

Mathematics and Its Applications. 1997. Auflage Mathematics and Its Applications. 1997. Auflage Bücher > Wissenschaft > Mathematik, [PU: Kluwer Academic Publishers]

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The Theory of Cubature Formulas - S.L. Sobolev Vladimir L. Vaskevich
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S.L. Sobolev Vladimir L. Vaskevich:
The Theory of Cubature Formulas - nouveau livre

ISBN: 9780792346319

ID: 9780792346319

The Theory of Cubature Formulas Author :S.L. Sobolev Vladimir L. Vaskevich 9780792346319 0792346319, [PU: Kluwer Academic Publishers]

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Theory of Cubature Formulas - S.L. Sobolev; V.L. Vaskevich
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S.L. Sobolev; V.L. Vaskevich:
Theory of Cubature Formulas - edition reliée, livre de poche

1997, ISBN: 9780792346319

ID: 738993

Hardcover, Buch, [PU: Kluwer Academic Publishers]

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The Theory of Cubature Formulas

This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree. These formulas are intended to approximate the calculation of multiple and conventional integrals over a bounded domain of integration. The latter is assumed to have a piecewise-smooth boundary and to be arbitrary in other aspects. Particular emphasis is placed on invariant cubature formulas and those for a cube, a simplex, and other polyhedra. Here, the techniques of functional analysis and partial differential equations are applied to the classical problem of numerical integration, to establish many important and deep analytical properties of cubature formulas. The prerequisites of the theory of many-dimensional discrete function spaces and the theory of finite differences are concisely presented. Special attention is paid to constructing and studying the optimal cubature formulas in Sobolev spaces. As an asymptotically optimal sequence of cubature formulas, a many-dimensional abstraction of the Gregory quadrature is indicated. Audience: This book is intended for researchers having a basic knowledge of functional analysis who are interested in the applications of modern theoretical methods to numerical mathematics.

Informations détaillées sur le livre - The Theory of Cubature Formulas


EAN (ISBN-13): 9780792346319
ISBN (ISBN-10): 0792346319
Version reliée
Date de parution: 1997
Editeur: Springer-Verlag GmbH
432 Pages
Poids: 0,806 kg
Langue: eng/Englisch

Livre dans la base de données depuis 28.06.2007 19:32:42
Livre trouvé récemment le 10.06.2017 22:58:10
ISBN/EAN: 9780792346319

ISBN - Autres types d'écriture:
0-7923-4631-9, 978-0-7923-4631-9


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