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Robust numerical methods for singularly perturbed differential equations : convection-diffusion-reaction and flow problems /

by Roos, Hans-Görg; Stynes, M. (Martin); Tobiska, L. (Lutz); Roos, Hans-Görg.
Series: Springer series in computational mathematics: 24.Publisher: Berlin : Springer, c2008Edition: 2nd ed.Description: xiv, 604 p. : ill. ; 25 cm.ISBN: 9783540344667 (hbk.); 3540344667 (hbk.); 9783540344674; 3540344675.Subject(s): Differential equations -- Numerical solutions | Singular perturbations (Mathematics)
Contents:
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.
Item type Location Call number Copy Status Date due
BOOK BOOK Mesa Lab QA377 .R66 2008 (Browse shelf) 1 Available

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.

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