Mathematical Analysis And Numerical Methods For Science And Technology Physical Origins And Classical Methods

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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 : 46,9 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
Page : 720 pages
File Size : 50,6 Mb
Release : 2011-10-01
Category : Mathematics
ISBN : 3642615287

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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 : 556 pages
File Size : 54,6 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.

Partial Differential Equations: Modeling, Analysis and Numerical Approximation

Hervé Le Dret,Brigitte Lucquin
Partial Differential Equations Modeling Analysis and Numerical Approximation Book PDF

Author : Hervé Le Dret,Brigitte Lucquin
Publisher : Birkhäuser
Page : 395 pages
File Size : 54,5 Mb
Release : 2016-02-11
Category : Mathematics
ISBN : 9783319270678

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Partial Differential Equations: Modeling, Analysis and Numerical Approximation by Hervé Le Dret,Brigitte Lucquin Pdf

This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to each of these examples are analyzed: finite difference, finite element and finite volumes methods, and they are illustrated using numerical simulation results. Although parts of the book are accessible to Bachelor students in mathematics or engineering, it is primarily aimed at Masters students in applied mathematics or computational engineering. The emphasis is on mathematical detail and rigor for the analysis of both continuous and discrete problems.

An Introduction to Sobolev Spaces and Interpolation Spaces

Luc Tartar
An Introduction to Sobolev Spaces and Interpolation Spaces Book PDF

Author : Luc Tartar
Publisher : Springer Science & Business Media
Page : 219 pages
File Size : 45,9 Mb
Release : 2007-05-26
Category : Mathematics
ISBN : 9783540714835

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An Introduction to Sobolev Spaces and Interpolation Spaces by Luc Tartar Pdf

After publishing an introduction to the Navier–Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has now revised and polished it into a text accessible to a larger audience.

Linear and Nonlinear Functional Analysis with Applications

Philippe G. Ciarlet
Linear and Nonlinear Functional Analysis with Applications Book PDF

Author : Philippe G. Ciarlet
Publisher : SIAM
Page : 847 pages
File Size : 45,6 Mb
Release : 2013-10-10
Category : Mathematics
ISBN : 9781611972580

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Linear and Nonlinear Functional Analysis with Applications by Philippe G. Ciarlet Pdf

This single-volume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory. This book has pedagogical appeal because it features self-contained and complete proofs of most of the theorems, some of which are not always easy to locate in the literature or are difficult to reconstitute. It also offers 401 problems and 52 figures, plus historical notes and many original references that provide an idea of the genesis of the important results, and it covers most of the core topics from functional analysis.

An Introduction to Navier-Stokes Equation and Oceanography

Luc Tartar
An Introduction to Navier Stokes Equation and Oceanography Book PDF

Author : Luc Tartar
Publisher : Springer Science & Business Media
Page : 256 pages
File Size : 55,6 Mb
Release : 2006-08-25
Category : Mathematics
ISBN : 9783540365457

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An Introduction to Navier-Stokes Equation and Oceanography by Luc Tartar Pdf

This text corresponds to a graduate mathematics course taught at Carnegie Mellon University in the spring of 1999. Included are comments added to the lecture notes, a bibliography containing 23 items, and brief biographical information for all scientists mentioned in the text, thus showing that the creation of scientific knowledge is an international enterprise.

Albright's Chemical Engineering Handbook

Lyle Albright
Albright s Chemical Engineering Handbook Book PDF

Author : Lyle Albright
Publisher : CRC Press
Page : 1930 pages
File Size : 46,6 Mb
Release : 2008-11-20
Category : Science
ISBN : 9781420014389

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Albright's Chemical Engineering Handbook by Lyle Albright Pdf

Taking greater advantage of powerful computing capabilities over the last several years, the development of fundamental information and new models has led to major advances in nearly every aspect of chemical engineering. Albright's Chemical Engineering Handbook represents a reliable source of updated methods, applications, and fundamental co

Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics

Wolfgang Arendt,Ralph Chill,Yuri Tomilov
Operator Semigroups Meet Complex Analysis Harmonic Analysis and Mathematical Physics Book PDF

Author : Wolfgang Arendt,Ralph Chill,Yuri Tomilov
Publisher : Birkhäuser
Page : 496 pages
File Size : 53,5 Mb
Release : 2015-12-10
Category : Mathematics
ISBN : 9783319184944

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Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics by Wolfgang Arendt,Ralph Chill,Yuri Tomilov Pdf

This proceedings volume originates from a conference held in Herrnhut in June 2013. It provides unique insights into the power of abstract methods and techniques in dealing successfully with numerous applications stemming from classical analysis and mathematical physics. The book features diverse topics in the area of operator semigroups, including partial differential equations, martingale and Hilbert transforms, Banach and von Neumann algebras, Schrödinger operators, maximal regularity and Fourier multipliers, interpolation, operator-theoretical problems (concerning generation, perturbation and dilation, for example), and various qualitative and quantitative Tauberian theorems with a focus on transfinite induction and magics of Cantor. The last fifteen years have seen the dawn of a new era for semigroup theory with the emphasis on applications of abstract results, often unexpected and far removed from traditional ones. The aim of the conference was to bring together prominent experts in the field of modern semigroup theory, harmonic analysis, complex analysis and mathematical physics, and to present the lively interactions between all of those areas and beyond. In addition, the meeting honored the sixtieth anniversary of Prof C. J. K. Batty, whose scientific achievements are an impressive illustration of the conference goal. These proceedings present contributions by prominent scientists at this international conference, which became a landmark event. They will be a valuable and inspiring source of information for graduate students and established researchers.