Robust Numerical Methods for Singularly Perturbed Differential Equations : Convection-diffusion-reaction and Flow Problems

Roos, Hans-Gorg; Stynes, Martin; Tobiska, Lutz

ISBN 10: 3642070825 / ISBN 13: 9783642070822

Editore: Springer, 2010

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Dati bibliografici

• Titolo: Robust Numerical Methods for Singularly Perturbed Differential Equations : Convection-diffusion-reaction and Flow Problems
• Editore: Springer
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 3642070825
• ISBN 13: 9783642070822
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

Beginning with ordinary differential equations, then moving on to parabolic and elliptic problems and culminating with the Navier-Stokes equations, the reader is led through the theoretical and practical aspects of the most important methods used to compute numerical solutions for singular perturbation problems.

Dalla quarta di copertina

This considerably extended and completely revised second edition incorporates many new developments in the thriving field of numerical methods for singularly perturbed differential equations. It provides a thorough foundation for the numerical analysis and solution of these problems, which model many physical phenomena whose solutions exhibit layers. The book focuses on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics. It offers a comprehensive overview of suitable numerical methods while emphasizing those with realistic error estimates. The book should be useful for scientists requiring effective numerical methods for singularly perturbed differential equations.