Robust Numerical Methods for Singularly Perturbed Differential Equations : Convection-Diffusion-Reaction and Flow Problems
Publication year: 2008
: 978-3-540-34467-4
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.
: Mathematics and Statistics, Boundary value problem, Navier-stokes equations, Singular perturbation, boundary and interior layers, convection-diffusion, differential equation, finite element method, layer-adapted grids, layers, model, numerical analysis, numerical methods, stabilised finite elements, variational multiscale approach
