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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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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ISBN: 9780792346319
ID: 978079234631
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. S.L. Sobolev, Vladimir Vaskevich, Books, Science and Nature, The Theory of Cubature Formulas Books>Science and Nature, Springer Netherlands
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1997, ISBN: 9780792346319
ID: 651901113
Springer. NEAR FINE. Hardback. 1997. Hardback, This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. ., Springer, 1997
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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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Title: | The Theory of Cubature Formulas |
ISBN: | 0792346319 |
Details of the book - The Theory of Cubature Formulas
EAN (ISBN-13): 9780792346319
ISBN (ISBN-10): 0792346319
Hardcover
Publishing year: 1997
Publisher: Springer-Verlag GmbH
432 Pages
Weight: 0,806 kg
Language: eng/Englisch
Book in our database since 28.06.2007 19:32:42
Book found last time on 11.12.2015 01:20:23
ISBN/EAN: 0792346319
ISBN - alternate spelling:
0-7923-4631-9, 978-0-7923-4631-9
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