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Media type:
Book
Title:
Robust numerical methods for singularly perturbed differential equations
:
convection-diffusion and flow problems
Contains:
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.