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Numerical Treatment Of Partial Differential Equations

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Numerical Treatment Of Partial Differential Equations

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Author : Christian Grossmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-04

Numerical Treatment Of Partial Differential Equations written by Christian Grossmann 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 2007-10-04 with Mathematics categories.

This book deals with discretization techniques for partial differential equations of elliptic, parabolic and hyperbolic type. It provides an introduction to the main principles of discretization and gives a presentation of the ideas and analysis of advanced numerical methods in the area. The book is mainly dedicated to finite element methods, but it also discusses difference methods and finite volume techniques. Coverage offers analytical tools, properties of discretization techniques and hints to algorithmic aspects. It also guides readers to current developments in research.

Elliptic Differential Equations

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Author : Wolfgang Hackbusch
language : en
Publisher: Springer
Release Date : 2017-06-01

Elliptic Differential Equations written by Wolfgang Hackbusch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-01 with Mathematics categories.

This book simultaneously presents the theory and the numerical treatment of elliptic boundary value problems, since an understanding of the theory is necessary for the numerical analysis of the discretisation. It first discusses the Laplace equation and its finite difference discretisation before addressing the general linear differential equation of second order. The variational formulation together with the necessary background from functional analysis provides the basis for the Galerkin and finite-element methods, which are explored in detail. A more advanced chapter leads the reader to the theory of regularity. Individual chapters are devoted to singularly perturbed as well as to elliptic eigenvalue problems. The book also presents the Stokes problem and its discretisation as an example of a saddle-point problem taking into account its relevance to applications in fluid dynamics.

The Numerical Treatment Of Differential Equations

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Author : Lothar Collatz
language : en
Publisher: Springer
Release Date : 2012-05-19

The Numerical Treatment Of Differential Equations written by Lothar Collatz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-19 with Mathematics categories.

This book constitutes an attempt to present in a connected fashion some of the most important numerical methods for the solution of ordinary and partial differential equations. The field to be covered is extremely wide, and it is clear that the present treatment cannot be remotely exhaustive; in particular, for partial differential equations it has only been possible to present the basic ideas, and many of the methods developed extensively by workers in applied fields - hydro dynamics, aerodynamics, etc. -, most of which have been developed for specific problems, have had to be dismissed with little more than a reference to the literature. However, the aim of the book is not so much to reproduce these special methods, their corresponding computing schemes, etc. , as to acquaint a wide circle of engineers, physicists and mathematicians with the general methods, and to show with the aid of numerous worked examples that an idea of the quantitative behaviour of the solution of a differential equation problem can be obtained by numerical means with nothing like the trouble and labour that widespread prejudice would suggest. This prejudice may be partly due to the kind of mathe matical instruction given in technical colleges and universities, in which, although the theory of differential equations is dealt with in detail, numerical methods are gone into only briefly.

Numerical Treatment Of Partial Differential Equations

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Author : Christian Grossmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-11

Numerical Treatment Of Partial Differential Equations

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Author : Ayndrielle Miyoshi Ward
language : en
Publisher:
Release Date : 1998

Numerical Treatment Of Partial Differential Equations written by Ayndrielle Miyoshi Ward and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Differential equations, Partial categories.

The Numerical Treatment Of Differential Equations

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Author : Lothar Collatz
language : en
Publisher: Springer
Release Date : 1960

This book constitutes an attempt to present in a connected fashion some of the most important numerical methods for the solution of ordinary and partial differential equations. The field to be covered is extremely wide, and it is clear that the present treatment cannot be remotely exhaustive; in particular, for partial differential equations it has only been possible to present the basic ideas, and many of the methods developed extensively by workers in applied fields - hydro dynamies, aerodynamics, etc. -, most of which have been developed for specific problems, have had to be dismissed with little more than a reference to the literature. However, the aim of the book is not so much to reproduce these special methods, their corresponding computing schemes, etc. , as to acquaint a wide circ1e of engineers, physicists and mathematicians with the general methods, and to show with the aid of numerous worked examples that an idea of the quantitative behaviour of the solution of a differential equation problem can be obtained by numerical means with nothing like the trouble and labour that widespread prejudice would suggest. This prejudice may be partly due to the kind of mathe matical instruction given in technical colleges and universities, in which, although the theory of differential equations is dealt with in detail, numerical methods are gone into only briefly.

Proceedings Of The Symposium On Numerical Treatment Of Partial Differential Equations With Real Characteristics Provinsional International Computation Centre

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Author :
language : en
Publisher:
Release Date :

Proceedings Of The Symposium On Numerical Treatment Of Partial Differential Equations With Real Characteristics Provinsional International Computation Centre written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Colloque Sur Le Traitement Num Rique Des Quations Aux D Riv Es Partielles Caract Ristiques R Elles

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Author :
language : en
Publisher:
Release Date : 1959

Colloque Sur Le Traitement Num Rique Des Quations Aux D Riv Es Partielles Caract Ristiques R Elles written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Differential equations, Partial categories.

Matrix Methods Of Structural Analysis

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Author : M. B. Kanchi
language : en
Publisher: New Age International
Release Date : 1993

Matrix Methods Of Structural Analysis written by M. B. Kanchi and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

Numerical Solution Of Ordinary Differential Equations

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Author : Nik Pachis
language : en
Publisher:
Release Date : 2016-04-01

Numerical Solution Of Ordinary Differential Equations written by Nik Pachis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-01 with categories.

Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their use is also known as "numerical integration", although this term is sometimes taken to mean the computation of integrals. An ordinary differential equation or ODE is a differential equation containing one or more functions of one independent variable and its derivatives. The term "ordinary" is used in contrast with the term partial differential equation which may be with respect to more than one independent variable. Ordinary differential equations are ubiquitous in science and engineering: in geometry and mechanics from the first examples onwards (Newton, Leibniz, Euler, Lagrange), in chemical reaction kinetics, molecular dynamics, electronic circuits, population dynamics, and many more application areas. They also arise, after semi discretization in space, in the numerical treatment of time-dependent partial differential equations, which are even more impressively omnipresent in our technologically developed and financially controlled world. The book Numerical Solution of Ordinary Differential Equations offers a complete and easy-to-follow introduction to classical topics in the numerical solution of ordinary differential equations. The book's approach not only explains the presented mathematics, but also helps readers understand how these numerical methods are used to solve real-world problems.

Numerical Treatment Of Partial Differential Equations

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