Strong stability preserving Runge-Kutta and multistep time discretizations /

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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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Gottlieb, Sigal
Other Authors: Ketcheson, David I., Shu, Chi-Wang
Format: Electronic eBook
Language:Inglés
Published: Hackensack, NJ : World Scientific, ©2011.
Subjects:
Runge-Kutta formulas.
Differential equations > Numerical solutions.
Stability.
Méthode de Runge-Kutta.
Équations différentielles > Solutions numériques.
Stabilité.
stability.
MATHEMATICS > Numerical Analysis.
Differential equations > Numerical solutions
Runge-Kutta formulas
Stability
Online Access:Texto completo
Table of 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.

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