| Description |
1 online resource (xii, 176 pages) : illustrations |
| Physical Medium |
polychrome |
| Description |
text file |
| Bibliography |
Includes bibliographical references and index. |
| Summary |
This book captures the state-of-the-art in the field of Strong Stability Preserving (SSP) time stepping methods, which have significant advantages for the time evolution of partial differential equations describing a wide range of physical phenomena. This comprehensive book describes the development of SSP methods, explains the types of problems which require the use of these methods and demonstrates the efficiency of these methods using a variety of numerical examples. Another valuable feature of this book is that it collects the most useful SSP methods, both explicit and implicit, and presen. |
| Contents |
Preface; Contents; 1. Overview: The Development of SSP Methods; 2. Strong Stability Preserving Explicit Runge-Kutta Methods; 3. The SSP Coe cient for Runge-Kutta Methods; 4. SSP Runge-Kutta Methods for Linear Constant Coefficient Problems; 5. Bounds and Barriers for SSP Runge-Kutta Methods; 6. Low Storage Optimal Explicit SSP Runge-Kutta Methods; 7. Optimal Implicit SSP Runge-Kutta Methods; 8. SSP Properties of Linear Multistep Methods; 9. SSP Properties of Multistep Multi-Stage Methods; 10. Downwinding; 11. Applications; Bibliography; Index. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Runge-Kutta formulas.
|
|
Runge-Kutta formulas. |
|
Differential equations -- Numerical solutions.
|
|
Differential equations -- Numerical solutions. |
|
Stability.
|
|
Stability. |
| Genre/Form |
Electronic books.
|
|
Electronic books.
|
| Added Author |
Ketcheson, David I.
|
|
Shu, Chi-Wang.
|
| Other Form: |
Print version: Gottlieb, Sigal. Strong stability preserving Runge-Kutta and multistep time discretizations. Hackensack, NJ : World Scientific, ©2011 9789814289269 (DLC) 2010048026 (OCoLC)693750915 |
| ISBN |
9789814289276 (electronic book) |
|
9814289272 (electronic book) |
|
9789814289269 |
|
9814289264 |
|
