Cargando…
Finite volume methods for hyperbolic problems /
This book contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range of wave propagation and transport phenomen...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2002.
|
| Colección: | Cambridge texts in applied mathematics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | This book contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic problems. High-resolution versions of Godunov's method are developed, in which Riemann problems are solved to determine the local wave structure and limiters are then applied to eliminate numerical oscillations. These methods were originally designed to capture shock waves accurately, but are also useful tools for studying linear wave-propagation problems, particularly in heterogenous material. The methods studied are implemented in the CLAWPACK software package and source code for all the examples presented can be found on the web, along with animations of many of the simulations. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods. |
|---|---|
| Descripción Física: | 1 online resource (xix, 558 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 535-552) and index. |
| ISBN: | 0511042191 9780511042195 9780511791253 0511791259 0521810876 9780521810876 9780511045073 0511045077 0511148097 9780511148095 1107132460 9781107132467 1280419504 9781280419508 9786610419500 6610419507 0511177690 9780511177699 0511323638 9780511323638 |