Robust numerical methods for singularly perturbed differential equations : convection-diffusion-reaction and flow problems / Hans-Görg Roos, Martin Stynes, Lutz Tobiska.
Series: Springer series in computational mathematics ; 24.Berlin : Springer, c2008Edition: 2nd edDescription: xiv, 604 p. : ill. ; 25 cmContent type:- text
- unmediated
- volume
- 9783540344667 (hbk.)
- 3540344667 (hbk.)
- 9783540344674
- 3540344675
- QA377 .R66 2008
| Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|---|
BOOK
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NCAR Library Mesa Lab | QA377 .R66 2008 | 1 | Available | 50583010337479 |
Rev. ed. of: Numerical methods for singularly perturbed differential equations : convection-diffusion and flow problems / H.-G. Roos, M. Stynes, L. Tobiska. c1996.
Includes bibliographical references (p. [551]-597) and index.
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.