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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.
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- VerlagSpringer
- Erscheinungsdatum1997
- ISBN 10 0792346319
- ISBN 13 9780792346319
- EinbandTapa dura
- Anzahl der Seiten444
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The Theory of Cubature Formulas (Mathematics and Its Applications)
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Hardcover. Zustand: Very Good. Ex University of California, Berkeley library book with usual library markings. Light wear. No DJ. Binding is tight, text clean. From the back cover: 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. Bestandsnummer des Verkäufers mon0000015842
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The Theory of Cubature Formulas (Mathematics and Its Applications) by Sobolev, S.L., Vaskevich, Vladimir L. [Hardcover ]
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The Theory of Cubature Formulas (Mathematics and Its Applications, 415)
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Theory of Cubature Formulas
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The Theory of Cubature Formulas
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Zustand: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. | Seiten: 444 | Sprache: Englisch | Produktart: Bücher. Bestandsnummer des Verkäufers 3033057/2
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The Theory of Cubature Formulas
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The Theory of Cubature Formulas
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Springer Netherlands Jun 1997, 1997
ISBN 10: 0792346319
ISBN 13: 9780792346319
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 444 pp. Englisch. Bestandsnummer des Verkäufers 9780792346319
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Theory of Cubature Formulas
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The Theory of Cubature Formulas
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Gebunden. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 latte. Bestandsnummer des Verkäufers 5968156
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The Theory of Cubature Formulas
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Bestandsnummer des Verkäufers 9780792346319
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