Robust numerical methods for singularly perturbed differential equations convection-diffusion and flow problems
pt. 1. Ordinary differential equations. -- The analytical behaviour of solutions -- Numerical methods for second-order boundary value problems -- pt. 2. Parabolic initial-boundary value problems in one space dimension. -- Introduction -- Analytical behaviour of solutions -- Finite difference methods...
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| Weitere Verfasser: | , |
| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
Berlin, Heidelberg
Springer
2008
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| Ausgabe: | 2. edition |
| Schriftenreihe: | Springer series in computational mathematics
24 |
| Schlagworte: | |
| Online Zugang: | Inhaltstext Inhaltsverzeichnis Kapitel 2 Kapitel 3 Cover Inhaltstext |
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| Zusammenfassung: | pt. 1. Ordinary differential equations. -- The analytical behaviour of solutions -- Numerical methods for second-order boundary value problems -- pt. 2. Parabolic initial-boundary value problems in one space dimension. -- Introduction -- Analytical behaviour of solutions -- Finite difference methods -- Finite element methods -- Two adaptive methods -- pt. 3. Elliptic and parabolic problems in several space dimensions. -- Analytical behaviour of solutions -- Finite difference methods -- Finite element methods -- Time-dependent problems -- pt. 4. 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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| Beschreibung: | Literaturverzeichnis Seite: 551 - 597 |
| Beschreibung: | XIV, 604 Seiten Illustrationen 235 mm x 155 mm |
| ISBN: | 3540344667 3-540-34466-7 9783540344667 978-3-540-34466-7 |