Mathematical Analysis And Numerical Methods For Science And Technology

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Mathematical Analysis and Numerical Methods for Science and Technology

Robert Dautray,Jacques-Louis Lions
Mathematical Analysis and Numerical Methods for Science and Technology Book PDF

Author : Robert Dautray,Jacques-Louis Lions
Publisher : Springer Science & Business Media
Page : 734 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642615276

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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, 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. The advent of high-speed computers has made it possible 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.

Mathematical Analysis and Numerical Methods for Science and Technology

Robert Dautray,Jacques-Louis Lions
Mathematical Analysis and Numerical Methods for Science and Technology Book PDF

Author : Robert Dautray,Jacques-Louis Lions
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 50,6 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.

Mathematical Analysis and Numerical Methods for Science and Technology

Robert Dautray,Jacques-Louis Lions
Mathematical Analysis and Numerical Methods for Science and Technology Book PDF

Author : Robert Dautray,Jacques-Louis Lions
Publisher : Springer
Page : 604 pages
File Size : 44,9 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.

Mathematical Analysis and Numerical Methods for Science and Technology

Robert Dautray,Jacques-Louis Lions
Mathematical Analysis and Numerical Methods for Science and Technology Book PDF

Author : Robert Dautray,Jacques-Louis Lions
Publisher : Springer Science & Business Media
Page : 760 pages
File Size : 40,7 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.

Mathematical Analysis and Numerical Methods for Science and Technology

Robert Dautray,Jacques-Louis Lions
Mathematical Analysis and Numerical Methods for Science and Technology Book PDF

Author : Robert Dautray,Jacques-Louis Lions
Publisher : Springer Science & Business Media
Page : 556 pages
File Size : 40,5 Mb
Release : 1999-11-23
Category : Mathematics
ISBN : 3540660992

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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.

Mathematical Analysis and Numerical Methods for Science and Technology

Robert Dautray,Jacques-Louis Lions
Mathematical Analysis and Numerical Methods for Science and Technology Book PDF

Author : Robert Dautray,Jacques-Louis Lions
Publisher : Springer Science & Business Media
Page : 754 pages
File Size : 51,8 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.

Integral Equations and Numerical Methods

Robert Dautray,Jacques-Louis Lions
Integral Equations and Numerical Methods Book PDF

Author : Robert Dautray,Jacques-Louis Lions
Publisher : Unknown
Page : 465 pages
File Size : 45,8 Mb
Release : 1988
Category : Mathematical analysis
ISBN : 0387502092

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

Mathematical Analysis and Numerical Methods for Science and Technology

Robert Dautray,Jacques-Louis Lions
Mathematical Analysis and Numerical Methods for Science and Technology Book PDF

Author : Robert Dautray,Jacques-Louis Lions
Publisher : Springer Science & Business Media
Page : 503 pages
File Size : 46,8 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.