| 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 |
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