TY  - BOOK
AU  - Roos,Hans-Görg
AU  - Stynes,Martin
AU  - Tobiska,Lutz
ED  - SpringerLink (Online service)
TI  - Robust Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion-Reaction and Flow Problems 
T2  - Springer Series in Computational Mathematics,
SN  - 9783540344674
AV  - QA297-299.4 
U1  - 518 23
PY  - 2008///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Numerical analysis
KW  - Engineering mathematics
KW  - Global analysis (Mathematics)
KW  - Statistics
KW  - Chemistry
KW  - Numerical Analysis
KW  - Mathematical and Computational Engineering
KW  - Analysis
KW  - Mathematical and Computational Biology
KW  - Statistics for Life Sciences, Medicine, Health Sciences
KW  - Theoretical and Computational Chemistry
N1  - Ordinary Differential Equations -- The Analytical Behaviour of Solutions -- Numerical Methods for Second-Order Boundary Value Problems -- Parabolic Initial-Boundary Value Problems in One Space Dimension -- Analytical Behaviour of Solutions -- Finite Difference Methods -- Finite Element Methods -- Two Adaptive Methods -- Elliptic and Parabolic Problems in Several Space Dimensions -- Analytical Behaviour of Solutions -- Finite Difference Methods -- Finite Element Methods -- Time-Dependent Problems -- The Incompressible Navier-Stokes Equations -- Existence and Uniqueness Results -- Upwind Finite Element Method -- Higher-Order Methods of Streamline Diffusion Type -- Local Projection Stabilization for Equal-Order Interpolation -- Local Projection Method for Inf-Sup Stable Elements -- Mass Conservation for Coupled Flow-Transport Problems -- Adaptive Error Control
N2  - 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
UR  - https://doi.org/10.1007/978-3-540-34467-4
ER  -