Partial Differential Equations: Modeling, Analysis and Numerical Approximation
This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equ...
Autor principal: | |
---|---|
Autor Corporativo: | |
Otros Autores: | |
Formato: | Libro electrónico |
Idioma: | Inglés |
Publicado: |
Cham :
Springer International Publishing
2016.
|
Edición: | 1st ed |
Colección: | International Series of Numerical Mathematics ;
168. Springer eBooks. |
Acceso en línea: | Conectar con la versión electrónica |
Ver en Universidad de Navarra: | https://innopac.unav.es/record=b33065305*spi |
Sumario: | This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to each of these examples are analyzed: finite difference, finite element and finite volumes methods, and they are illustrated using numerical simulation results. Although parts of the book are accessible to Bachelor students in mathematics or engineering, it is primarily aimed at Masters students in applied mathematics or computational engineering. The emphasis is on mathematical detail and rigor for the analysis of both continuous and discrete problems. |
---|---|
Descripción Física: | XI, 395 p., 140 il., 21 il. col |
Formato: | Forma de acceso: World Wide Web. |
ISBN: | 9783319270678 |