Partial differential equations with numerical methods
 Responsibility
 Stig Larsson, Vidar Thomée.
 Imprint
 Berlin ; New York : Springer, c2003.
 Physical description
 ix, 259 pages : illustrations ; 24 cm
 Series
 Texts in applied mathematics 45.
Online
At the library
Science Library (Li and Ma)
Stacks
Call number  Note  Status 

QA374 .L337 2003  Unknown  
QA374 .L337 2003  Unknown Request 
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Description
Creators/Contributors
 Author/Creator
 Larsson, S. (Stig), 1952
 Contributor
 Thomée, Vidar, 1933
Contents/Summary
 Bibliography
 Includes bibliographical references (p. [253]255) and index.
 Contents

 Introduction
 A twopoint boundary value problem
 Elliptic equations
 Finite difference methods for elliptic equations
 Finite element methods for elliptic equations
 The elliptic eigenvalue problem
 Initialvalue problems for ODEs
 Parabolic equations
 Finite difference methods for parabolic problems
 The finite element method for a parabolic problem
 Hyperbolic equations
 Finite difference methods for hyperbolic equations
 The finite element method for hyerbolic equations
 Some other classes of numerical methods
 Some tools from mathematical analysis
 Orientation on numerical linear algebra.
 Publisher's summary

This book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering. The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the twopoint boundary value problem for ordinary differential equations. Similarly, the chapters on timedependent problems are preceded by a chapter on the initialvalue problem for ordinary differential equations. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. The required background on linear functional analysis and Sobolev spaces is reviewed in an appendix.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2003
 Series
 Texts in applied mathematics, 09392475 ; 45
 ISBN
 3540017720 (alk. paper)
 9783540017721 (alk. paper)