| Description |
1 online resource (xv, 392 pages) : illustrations |
| Series |
Texts in applied mathematics ; 29 |
|
Texts in applied mathematics ; 29.
|
| Contents |
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 |
| Summary |
"This book teaches the basic methods of partial differential equations and introduces related important ideas associated with the analysis of numerical methods for those partial differential equations. Standard topics such as separation of variables, Fourier analysis, maximum principles and energy estimates are included. Numerical methods are introduced in parallel to the classical theory. The numerical experiments are used to illustrate properties of differential equations and theory for finite difference approximations is developed." "The text would be suitable for advanced undergraduate and graduate courses in mathematics and engineering. Necessary prerequisites for this text are basic calculus and linear algebra. Some elementary knowledge of ordinary differential equations is also preferable."--Jacket |
| Analysis |
wiskunde |
|
mathematics |
|
analyse |
|
analysis |
|
computational science |
|
partial differential equations |
|
Mathematics (General) |
|
Wiskunde (algemeen) |
| Bibliography |
Includes bibliographical references (pages 385-387) and index |
| Notes |
Print version record |
| In |
OhioLINK electronic book center |
|
SpringerLink |
| Subject |
Differential equations, Partial.
|
|
Mathematics.
|
|
Mathematics
|
|
Équations aux dérivées partielles.
|
|
Differential equations, Partial.
|
|
Ecuaciones de física matemática
|
|
Mathematics
|
|
Differential equations, Partial
|
|
Numerisches Verfahren
|
|
Partielle Differentialgleichung
|
|
Équations aux dérivées partielles -- Solutions numériques.
|
| Form |
Electronic book
|
| Author |
Winther, Ragnar.
|
| LC no. |
2004111961 |
| ISBN |
9783540267409 |
|
3540267409 |
|
354022551X |
|
9783540225515 |
|
