الفيزياء الرياضية Robust Numerical Methods for Singularly Perturbed Differential Equations

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Robust Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion-Reaction and Flow Problems


Robust Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion-Reaction and Flow Problems (Springer Series in Computational Mathematics): Hans-Goerg Roos, Martin Stynes, Lutz Tobiska
Springer | ISBN: 3540344667 | 2008-10-01 | PDf / djvu (ocr) | 604 pages | 3.80 / 3.53 Mb

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.

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