Robust Numerical Methods for Singularly Perturbed Differential Equations : Convection-Diffusion-Reaction and Flow Problems /
By: Roos, Hans-G�rg [author.1].
Contributor(s): Stynes, Martin [author.1 ] | Tobiska, Lutz [author.2 ] | SpringerLink (Online service)0.
Material type:
BookSeries: Springer Series in Computational Mathematics, 240.Berlin, Heidelberg : Springer Berlin Heidelberg, 2008. Edition: 2. 1.Description: XIV, 604 p. 41 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540344674.Subject(s): Mathematics. 0 | Chemistry, Physical and theoretical. 0 | Mathematical analysis. 0 | Analysis (Mathematics). 0 | Numerical analysis. 0 | Biomathematics. 0 | Statistics. 0 | Applied mathematics. 0 | Engineering mathematics.14 | Mathematics.24 | Numerical Analysis.24 | Appl.Mathematics/Computational Methods of Engineering.24 | Analysis.24 | Mathematical and Computational Biology.24 | Statistics for Life Sciences, Medicine, Health Sciences.24 | Theoretical and Computational Chemistry.1DDC classification: 518 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
| PK Kelkar Library, IIT Kanpur | Available | EBK10358 |
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.
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. 0
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