Numerical Methods for Singularly Perturbed Differential Equations

Description:

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.

subjects: Differential equations,  Randwaardeproblemen,  Perturbations singulières (Mathématiques),  Navier-Stokes-vergelijkingen,  Solutions numériques,  Differentialgleichung,  Dimensieanalyse,  Équations différentielles,  Singular perturbations (Mathematics),  Gewone differentiaalvergelijkingen,  Numerical solutions,  Singuläre Störung,  Numerisches Verfahren,  Numerieke methoden,  Numerical analysis,  Statistics,  Engineering mathematics,  Biomathematics,  Mathematical physics,  Chemistry,  Differential equations, numerical solutions,  Perturbation (mathematics),  Biology,  Mathematics,  Differential equations--numerical solutions,  Singular perturbations (mathematics),  Qa377 .r66 2008