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Introduction to Partial Differential Equations

A Computational Approach

Specificaties
Paperback, 394 blz. | Engels
Springer Berlin Heidelberg | 1e druk, 2008
ISBN13: 9783540887041
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Juridisch :
Springer Berlin Heidelberg 1e druk, 2008 9783540887041
Onderdeel van serie Texts in Applied Mathematics
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

This book teaches basic methods of partial differential equations and introduces related important ideas associated with the analysis of numerical methods for those partial differential equations. Coverage details such topics as separation of variables, Fourier analysis, maximum principles, and energy estimates. The book introduces numerical methods in parallel to the classical theory and also includes many engaging exercises.

Specificaties

ISBN13:9783540887041
Taal:Engels
Bindwijze:paperback
Aantal pagina's:394
Uitgever:Springer Berlin Heidelberg
Druk:1

Inhoudsopgave

Setting the Scene.- Two-Point Boundary Value Problems.- The Heat Equation.- Finite Difference Schemes for the Heat Equation.- The Wave Equation.- Maximum Principles.- Poisson's Equation in Two Space Dimensions.- Orthogonality and General Fourier Series.- Convergence of Fourier Series.- The Heat Equation Revisited.- Reaction-Diffusion Equations.- Applications of the Fourier Transform.

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        Introduction to Partial Differential Equations