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Introduction to Partial Differential Equations: A Computational Approach
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Catalogue Information
Field name
Details
Dewey Class
515.353
Title
Introduction to Partial Differential Equations ([Ebook]) : A Computational Approach / by Aslak Tveito, Ragnar Winther ; edited by J.E. Marsden, L. Sirovich, M. Golubitsky, W. Jäger.
Author
Tveito, Aslak
Added Personal Name
Winther, Ragnar
Golubitsky, Martin , 1945-
Jäger, Willi , 1940-
Marsden, Jerrold E.
Sirovich, L.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer-Verlag , 2005
Physical Details
v.: digital
Series
Texts in applied mathematics
; 29 0939-2475
ISBN
9783540267409
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/b138016
Links to Related Works
Subject References:
Analysis
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Differential equations, Partial
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Global analysis (Mathematics)
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Mathematics
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Authors:
Golubitsky, Martin 1945-
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Jäger, Willi 1940-
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Marsden, Jerrold E.
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Sirovich, L.
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Tveito, Aslak
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Winther, Ragnar
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Corporate Authors:
SpringerLink (Online service)
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Series:
Texts in applied mathematics
.
Classification:
515.353
.
515.353 (DDC 23)
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