Robust numerical methods for singularly perturbeddifferential equations: convection-diffusion-reaction and flow problems

This considerably extended and completely revised second edition incorporatesmany new developments in the thriving field of numerical methods for singularly perturbed differential equations. It provides a thorough foundation for thenumerical 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 shouldbe useful for scientists requiring effective numerical methods for singularlyperturbed differential equations. INDICE: I. Ordinary Differential Equations: The analytical behaviour of solutions - numerical methods for second-order boundary value problems - numerical methods for higher-order problems II. Parabolic Initial-Boundary Value Problems in One Space Dimension: Analytical behaviour of solutions - finite difference methods - finite element methods - adaptive methods III. Elliptic Boundary Value Problems: Analytical behaviour of solutions - finite difference methods - finite element methods IV. Incompressible Navier-Stokes Equations: Existence and uniqueness results - an upwind finite element method - stabilized higher order methods - adaptive error control Appendix: Robust Solvers for Linear Systems.

• ISBN: 978-3-540-34466-7
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 510
• Fecha Publicación: 01/09/2008
• Nº Volúmenes: 1
• Idioma: Inglés