Aslak Tveito,
Ragnar Winther
Springer Berlin Heidelberg
1e druk, 2004
9783540225515
Introduction to Partial Differential Equations
A Computational Approach
Specificaties
Gebonden, 394 blz.
|
Engels
Springer Berlin Heidelberg |
1e druk, 2004
ISBN13: 9783540225515
Rubricering
Onderdeel van serie
Texts in Applied Mathematics
Levertijd ongeveer 8 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
ISBN13:9783540225515
Taal:Engels
Bindwijze:gebonden
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.