Mathematical Analysis And Numerical Methods For Science And Technology Integral Equations And Numerical Methods

Author : Robert Dautray,Jacques-Louis Lions
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 44,9 Mb
Release : 1999-11-23
Category : Mathematics
ISBN : 354066100X

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Mathematical Analysis and Numerical Methods for Science and Technology by Robert Dautray,Jacques-Louis Lions Pdf

The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form.

Author : Robert Dautray,Jacques-Louis Lions
Publisher : Unknown
Page : 465 pages
File Size : 44,9 Mb
Release : 1988
Category : Mathematical analysis
ISBN : 0387502092

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Integral Equations and Numerical Methods by Robert Dautray,Jacques-Louis Lions Pdf

Author : Robert Dautray
Publisher : Unknown
Page : 128 pages
File Size : 48,5 Mb
Release : 1900
Category : Mathematical analysis
ISBN : LCCN:88015089

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Mathematical Analysis and Numerical Methods for Science and Technology: Integral equations and numerical methods by Robert Dautray Pdf

Author : Robert Dautray,Jacques-Louis Lions
Publisher : Springer Science & Business Media
Page : 503 pages
File Size : 49,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642615313

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Mathematical Analysis and Numerical Methods for Science and Technology by Robert Dautray,Jacques-Louis Lions Pdf

The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form.

Author : Robert Dautray,Jacques-Louis Lions
Publisher : Springer Science & Business Media
Page : 616 pages
File Size : 54,6 Mb
Release : 1999-11-23
Category : Mathematics
ISBN : 3540660984

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Mathematical Analysis and Numerical Methods for Science and Technology by Robert Dautray,Jacques-Louis Lions Pdf

These 6 volumes - the result of a 10 year collaboration between the authors, two of France's leading scientists and both distinguished international figures - compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form. The advent of large computers has in the meantime revolutionised methods of computation and made this gap in the literature intolerable: the objective of the present work is to fill just this gap. Many phenomena in physical mathematics may be modeled by a system of partial differential equations in distributed systems: a model here means a set of equations, which together with given boundary data and, if the phenomenon is evolving in time, initial data, defines the system. The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. Modeling by distributed systems now also supports work in many areas of physics (plasmas, new materials, astrophysics, geophysics), chemistry and mechanics and is finding increasing use in the life sciences.

Author : Robert Dautray,Jacques-Louis Lions
Publisher : Springer
Page : 590 pages
File Size : 40,5 Mb
Release : 1988-10-14
Category : Mathematics
ISBN : 3540190457

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Mathematical Analysis and Numerical Methods for Science and Technology by Robert Dautray,Jacques-Louis Lions Pdf

These 6 volumes - the result of a 10 year collaboration between the authors, two of France's leading scientists and both distinguished international figures - compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form. The advent of large computers has in the meantime revolutionised methods of computation and made this gap in the literature intolerable: the objective of the present work is to fill just this gap. Many phenomena in physical mathematics may be modeled by a system of partial differential equations in distributed systems: a model here means a set of equations, which together with given boundary data and, if the phenomenon is evolving in time, initial data, defines the system. The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. Modeling by distributed systems now also supports work in many areas of physics (plasmas, new materials, astrophysics, geophysics), chemistry and mechanics and is finding increasing use in the life sciences.

Author : Robert Dautray,Jacques-Louis Lions
Publisher : Springer Science & Business Media
Page : 760 pages
File Size : 42,5 Mb
Release : 1999-11-23
Category : Mathematics
ISBN : 3540661018

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Mathematical Analysis and Numerical Methods for Science and Technology by Robert Dautray,Jacques-Louis Lions Pdf

299 G(t), and to obtain the corresponding properties of its Laplace transform (called the resolvent of - A) R(p) = (A + pl)-l , whose existence is linked with the spectrum of A. The functional space framework used will be, for simplicity, a Banach space(3). To summarise, we wish to extend definition (2) for bounded operators A, i.e. G(t) = exp( - tA) , to unbounded operators A over X, where X is now a Banach space. Plan of the Chapter We shall see in this chapter that this enterprise is possible, that it gives us in addition to what is demanded above, some supplementary information in a number of areas: - a new 'explicit' expression of the solution; - the regularity of the solution taking into account some conditions on the given data (u , u1,f etc ... ) with the notion of a strong solution; o - asymptotic properties of the solutions. In order to treat these problems we go through the following stages: in § 1, we shall study the principal properties of operators of semigroups {G(t)} acting in the space X, particularly the existence of an upper exponential bound (in t) of the norm of G(t). In §2, we shall study the functions u E X for which t --+ G(t)u is differentiable.

Author : Christian Constanda,Bardo E.J. Bodmann,Haroldo F. de Campos Velho
Publisher : Springer Science & Business Media
Page : 410 pages
File Size : 48,5 Mb
Release : 2013-08-13
Category : Mathematics
ISBN : 9781461478287

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Integral Methods in Science and Engineering by Christian Constanda,Bardo E.J. Bodmann,Haroldo F. de Campos Velho Pdf

​​Advances in science and technology are driven by the development of rigorous mathematical foundations for the study of both theoretical and experimental models. With certain methodological variations, this type of study always comes down to the application of analytic or computational integration procedures, making such tools indispensible. With a wealth of cutting-edge research in the field, Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques provides a detailed portrait of both the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this volume are based on talks given by well-known researchers at the Twelfth International Conference on Integral Methods in Science and Engineering, July 23–27, 2012, in Porto Alegre, Brazil. They address a broad range of topics, from problems of existence and uniqueness for singular integral equations on domain boundaries to numerical integration via finite and boundary elements, conservation laws, hybrid methods, and other quadrature-related approaches. The contributing authors bring their expertise to bear on a number of topical problems that have to date resisted solution, thereby offering help and guidance to fellow professionals worldwide. Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential tool in their work.​

Author : Robert Dautray,Jacques-Louis Lions
Publisher : Springer
Page : 604 pages
File Size : 40,6 Mb
Release : 2015-03-20
Category : Mathematics
ISBN : 9783642615665

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Mathematical Analysis and Numerical Methods for Science and Technology by Robert Dautray,Jacques-Louis Lions Pdf

These 6 volumes - the result of a 10 year collaboration between the authors, two of France's leading scientists and both distinguished international figures - compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form. The advent of large computers has in the meantime revolutionised methods of computation and made this gap in the literature intolerable: the objective of the present work is to fill just this gap. Many phenomena in physical mathematics may be modeled by a system of partial differential equations in distributed systems: a model here means a set of equations, which together with given boundary data and, if the phenomenon is evolving in time, initial data, defines the system. The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. Modeling by distributed systems now also supports work in many areas of physics (plasmas, new materials, astrophysics, geophysics), chemistry and mechanics and is finding increasing use in the life sciences.

Author : Robert Dautray,Jacques-Louis Lions
Publisher : Springer Science & Business Media
Page : 754 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642580901

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Mathematical Analysis and Numerical Methods for Science and Technology by Robert Dautray,Jacques-Louis Lions Pdf

299 G(t), and to obtain the corresponding properties of its Laplace transform (called the resolvent of - A) R(p) = (A + pl)-l , whose existence is linked with the spectrum of A. The functional space framework used will be, for simplicity, a Banach space(3). To summarise, we wish to extend definition (2) for bounded operators A, i.e. G(t) = exp( - tA) , to unbounded operators A over X, where X is now a Banach space. Plan of the Chapter We shall see in this chapter that this enterprise is possible, that it gives us in addition to what is demanded above, some supplementary information in a number of areas: - a new 'explicit' expression of the solution; - the regularity of the solution taking into account some conditions on the given data (u , u1,f etc ... ) with the notion of a strong solution; o - asymptotic properties of the solutions. In order to treat these problems we go through the following stages: in § 1, we shall study the principal properties of operators of semigroups {G(t)} acting in the space X, particularly the existence of an upper exponential bound (in t) of the norm of G(t). In §2, we shall study the functions u E X for which t --+ G(t)u is differentiable.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 51,8 Mb
Release : 1990
Category : Electronic
ISBN : OCLC:633111755

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Mathematical Analysis and Numerical Methods for Science and Technology by Anonim Pdf

Author : Germund Dahlquist,Ake Bjorck
Publisher : SIAM
Page : 741 pages
File Size : 42,8 Mb
Release : 2008-09-04
Category : Mathematics
ISBN : 9780898716443

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Numerical Methods in Scientific Computing: by Germund Dahlquist,Ake Bjorck Pdf

This work addresses the increasingly important role of numerical methods in science and engineering. It combines traditional and well-developed topics with other material such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions.

Author : Mario Paul Ahues,Alain R. Largillier
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 50,6 Mb
Release : 2011-06-28
Category : Mathematics
ISBN : 9780817681845

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Integral Methods in Science and Engineering by Mario Paul Ahues,Alain R. Largillier Pdf

* Good reference text; clusters well with other Birkhauser integral equations & integral methods books (Estrada and Kanwal, Kythe/Puri, Constanda, et al). * Includes many practical applications/techniques for applied mathematicians, physicists, engineers, grad students. * The contributors to the volume draw from a number of physical domains and propose diverse treatments for various mathematical models through the use of integration as an essential solution tool. * Physically meaningful problems in areas related to finite and boundary element techniques, conservation laws, hybrid approaches, ordinary and partial differential equations, and vortex methods are explored in a rigorous, accessible manner. * The new results provided are a good starting point for future exploitation of the interdisciplinary potential of integration as a unifying methodology for the investigation of mathematical models.

Author : Robert Dautray,Jacques-Louis Lions
Publisher : Unknown
Page : 728 pages
File Size : 47,6 Mb
Release : 1988
Category : Mathematical analysis
ISBN : UOM:39015018288244

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Mathematical Analysis and Numerical Methods for Science and Technology: Physical origins and classical methods by Robert Dautray,Jacques-Louis Lions Pdf

Author : M. Zuhair Nashed,D. Rollins
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 42,5 Mb
Release : 2006-11-24
Category : Mathematics
ISBN : 9780817644505

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Integral Methods in Science and Engineering by M. Zuhair Nashed,D. Rollins Pdf

The quantitative and qualitative study of the physical world makes use of many mathematical models governed by a great diversity of ordinary, partial differential, integral, and integro-differential equations. An essential step in such investigations is the solution of these types of equations, which sometimes can be performed analytically, while at other times only numerically. This edited, self-contained volume presents a series of state-of-the-art analytic and numerical methods of solution constructed for important problems arising in science and engineering, all based on the powerful operation of (exact or approximate) integration. The volume may be used as a reference guide and a practical resource. It is suitable for researchers and practitioners in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines.