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Numerical Solution of Partial Differential Equations by the Finite Element Method (Dover Books on Mathematics)

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Notă GoodReads:
en Limba Engleză Paperback – 2009
An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science- and engineering-related specialties.This text encompasses all varieties of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, as well as stationary and time-dependent problems. Additional topics include finite element methods for integral equations, an introduction to nonlinear problems, and considerations of unique developments of finite element techniques related to parabolic problems, including methods for automatic time step control. The relevant mathematics are expressed in non-technical terms whenever possible, in the interests of keeping the treatment accessible to a majority of students.
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Specificații

ISBN-13: 9780486469003
ISBN-10: 048646900X
Pagini: 278
Dimensiuni: 155 x 231 x 18 mm
Greutate: 0.36 kg
Ediția: Dover.
Editura: Dover Publications
Seria Dover Books on Mathematics


Notă biografică

Claes Johnson is Professor of Applied Mathematics at the Royal Institute of Technology, Stockholm.

Cuprins

Preface to the Dover Edition Preface Introduction Introduction to FEM for elliptic problems Abstract formulation of the finite element method for elliptic problems Some finite element spaces Approximation theory for FEM. Error estimates for elliptic problems Some applications to elliptic problems Direct methods for solving linear systems of equations Minimization algorithms. Iterative methods FEM for parabolic problems Hyperbolic problems Boundary element methods Mixed finite element methods Curved elements and numerical integration References Index