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03880nam a22006255i 4500 |
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978-3-540-34467-4 |
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DE-He213 |
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20151204163302.0 |
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cr nn 008mamaa |
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100301s2008 gw | s |||| 0|eng d |
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|a 9783540344674
|9 978-3-540-34467-4
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|a 10.1007/978-3-540-34467-4
|2 doi
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|d GrThAP
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|a QA297-299.4
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|a PBKS
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|a MAT021000
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|a MAT006000
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|a 518
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|a Roos, Hans-Görg.
|e author.
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|a Robust Numerical Methods for Singularly Perturbed Differential Equations
|h [electronic resource] :
|b Convection-Diffusion-Reaction and Flow Problems /
|c by Hans-Görg Roos, Martin Stynes, Lutz Tobiska.
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|a 2.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2008.
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|a XIV, 604 p. 41 illus.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
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|a Springer Series in Computational Mathematics,
|x 0179-3632 ;
|v 24
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|a 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.
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|a 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.
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| 650 |
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|a Mathematics.
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|a Chemistry, Physical and theoretical.
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|a Mathematical analysis.
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|a Analysis (Mathematics).
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|a Numerical analysis.
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|a Biomathematics.
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|a Statistics.
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|a Applied mathematics.
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|a Engineering mathematics.
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|a Mathematics.
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|a Numerical Analysis.
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|a Appl.Mathematics/Computational Methods of Engineering.
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|a Analysis.
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|a Mathematical and Computational Biology.
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|a Statistics for Life Sciences, Medicine, Health Sciences.
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|a Theoretical and Computational Chemistry.
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| 700 |
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|a Stynes, Martin.
|e author.
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|a Tobiska, Lutz.
|e author.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783540344667
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| 830 |
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|a Springer Series in Computational Mathematics,
|x 0179-3632 ;
|v 24
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|u http://dx.doi.org/10.1007/978-3-540-34467-4
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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