The Theory Of Cubature Formulas
DOWNLOAD
Download The Theory Of Cubature Formulas PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Theory Of Cubature Formulas book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
The Theory Of Cubature Formulas
DOWNLOAD
Author : S.L. Sobolev
language : en
Publisher: Springer
Release Date : 2014-03-14
The Theory Of Cubature Formulas written by S.L. Sobolev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-14 with Mathematics categories.
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.
The Theory Of Cubature Formulas
DOWNLOAD
Author : S.L. Sobolev
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
The Theory Of Cubature Formulas written by S.L. Sobolev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
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.
An Introduction To The Theory Of Cubature Formulas And Some Aspects Of Modern Analysis
DOWNLOAD
Author : Sergeĭ Lʹvovich Sobolev
language : en
Publisher:
Release Date : 1974
An Introduction To The Theory Of Cubature Formulas And Some Aspects Of Modern Analysis written by Sergeĭ Lʹvovich Sobolev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Cubature formulas categories.
Cubature Formulas Modern Analysis
DOWNLOAD
Author : Igor Sobolev
language : en
Publisher: CRC Press
Release Date : 1993-04-15
Cubature Formulas Modern Analysis written by Igor Sobolev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-04-15 with Science categories.
Translated from the Russian revised and updated 1988 edition. Cubature formulas, for calculating the volumes of bodies in multidimensional space, were named by analogy with quadrature formulas, used to calculate the areas of plane figures. Topics include basic concepts and formulations, the polyharmonic equation, simple problems of the theory of computations, order of convergence of cubature formulas, considering a regular boundary layer, optimal formulas, and formulas for rational polyhedra. Annotation copyright by Book News, Inc., Portland, OR
Euclidean Design Theory
DOWNLOAD
Author : Masanori Sawa
language : en
Publisher: Springer
Release Date : 2019-07-23
Euclidean Design Theory written by Masanori Sawa and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-23 with Mathematics categories.
This book is the modern first treatment of experimental designs, providing a comprehensive introduction to the interrelationship between the theory of optimal designs and the theory of cubature formulas in numerical analysis. It also offers original new ideas for constructing optimal designs. The book opens with some basics on reproducing kernels, and builds up to more advanced topics, including bounds for the number of cubature formula points, equivalence theorems for statistical optimalities, and the Sobolev Theorem for the cubature formula. It concludes with a functional analytic generalization of the above classical results. Although it is intended for readers who are interested in recent advances in the construction theory of optimal experimental designs, the book is also useful for researchers seeking rich interactions between optimal experimental designs and various mathematical subjects such as spherical designs in combinatorics and cubature formulas in numerical analysis, both closely related to embeddings of classical finite-dimensional Banach spaces in functional analysis and Hilbert identities in elementary number theory. Moreover, it provides a novel communication platform for “design theorists” in a wide variety of research fields.
Selected Works Of S L Sobolev
DOWNLOAD
Author : Gennadii V. Demidenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-15
Selected Works Of S L Sobolev written by Gennadii V. Demidenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-15 with Mathematics categories.
The topics covered in this volume include Sobolev’s fundamental works on equations of mathematical physics, computational mathematics, and cubature formulas. Some of the articles are generally unknown to mathematicians because they were published in journals that are difficult to access. This is the first appearance in English of many works by this important Russian mathematician.
Multivariate Approximation
DOWNLOAD
Author : V. Temlyakov
language : en
Publisher: Cambridge University Press
Release Date : 2018-07-19
Multivariate Approximation written by V. Temlyakov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-19 with Computers categories.
Self-contained presentation of multivariate approximation from classical linear approximation to contemporary nonlinear approximation.
Theory And Applications Of Differentiable Functions Of Several Variables
DOWNLOAD
Author : S. M. Nikol'skii
language : en
Publisher: American Mathematical Soc.
Release Date : 1982-12-31
Theory And Applications Of Differentiable Functions Of Several Variables written by S. M. Nikol'skii and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-12-31 with Mathematics categories.
Functional Analytic And Complex Methods Their Interactions And Applications To Partial Differential Equations
DOWNLOAD
Author : Helmut Florian
language : en
Publisher: World Scientific
Release Date : 2001
Functional Analytic And Complex Methods Their Interactions And Applications To Partial Differential Equations written by Helmut Florian and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today''s rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations. This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as Clifford analysis. New interesting problems in the field of partial differential equations concern, for instance, the Dirichlet problem for hyperbolic equations. Applications to mathematical physics address mainly Maxwell''s equations, crystal optics, dynamical problems for cusped bars, and conservation laws. Sample Chapter(s). Hyperbolic Equations, Waves and the Singularity Theory (858 KB). Contents: Boundary Value Problems and Initial Value Problems for Partial Differential Equations; Applications of Functional-Analytic and Complex Methods to Mathematical Physics; Partial Complex Differential Equations in the Plane; Complex Methods in Higher Dimensions. Readership: Researchers, lecturers and graduate students in the fields of analysis & differential equations, applied mathematics and mathematical physics.
Functional Analytic And Complex Methods Their Interactions And Applications To Partial Differential Equations Proceedings Of The International Graz Workshop
DOWNLOAD
Author : Helmut Florian
language : en
Publisher: World Scientific
Release Date : 2001-11-12
Functional Analytic And Complex Methods Their Interactions And Applications To Partial Differential Equations Proceedings Of The International Graz Workshop written by Helmut Florian and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-12 with Mathematics categories.
Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations.This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as Clifford analysis. New interesting problems in the field of partial differential equations concern, for instance, the Dirichlet problem for hyperbolic equations. Applications to mathematical physics address mainly Maxwell's equations, crystal optics, dynamical problems for cusped bars, and conservation laws. remove /a remove