The Resource The theory of cubature formulas, by S.L. Sobolev and V.L. Vaskevich

The theory of cubature formulas, by S.L. Sobolev and V.L. Vaskevich

Label
The theory of cubature formulas
Title
The theory of cubature formulas
Statement of responsibility
by S.L. Sobolev and V.L. Vaskevich
Creator
Contributor
Subject
Genre
Language
  • eng
  • rus
  • eng
Summary
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1908-1989
http://library.link/vocab/creatorName
Sobolev, S. L.
Dewey number
515/.43
Index
index present
Language note
Translated from the Russian
LC call number
QA299.4.C83
LC item number
S62 1997eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Vaskevich, V. L
Series statement
Mathematics and its applications
Series volume
volume 415
http://library.link/vocab/subjectName
  • Cubature formulas
  • Analyse numérique
  • Cubature formulas
Label
The theory of cubature formulas, by S.L. Sobolev and V.L. Vaskevich
Link
http://dx.doi.org/10.1007/978-94-015-8913-0
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 389-410) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
unknown
Extent
1 online resource (xxi, 416 pages).
File format
unknown
Form of item
online
Isbn
9789401589130
Isbn Type
(electronic bk.)
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-94-015-8913-0
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)861706052
  • (OCoLC)ocn861706052
Label
The theory of cubature formulas, by S.L. Sobolev and V.L. Vaskevich
Link
http://dx.doi.org/10.1007/978-94-015-8913-0
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 389-410) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
unknown
Extent
1 online resource (xxi, 416 pages).
File format
unknown
Form of item
online
Isbn
9789401589130
Isbn Type
(electronic bk.)
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-94-015-8913-0
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)861706052
  • (OCoLC)ocn861706052

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