Titlebook: Numerical Methods for Singularly Perturbed Differential Equations; Convection-Diffusion Hans-G?rg Roos,Martin Stynes,Lutz Tobiska Book 1996

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Elliptic Boundary Value Problems,In Chapters I and II, we presented results that are representative of the large body of theory dealing with singularly perturbed boundary value problems in one space variable. We now move to several space dimensions and encounter technical problems that are much more varied and challenging.

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Incompressible Navier-Stokes Equations,The incompressible Navier-Stokes equations are one of the most important models in Computational Fluid Dynamics (see [Te83], [GR86], [Gu89], [KL89] and [Ga94]). In this Chapter we show how methods developed for convection-diffusion problems can be applied to this more complex system of equations.

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Springer Series in Computational Mathematicshttp://image.papertrans.cn/n/image/669092.jpg

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https://doi.org/10.1007/978-3-662-03206-0Boundary value problem; Grenzschichten; Navier-Stokes-Gleichungen; Navier-stokes equations; Singular per

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Parabolic Initial-Boundary Value Problems in One Space Dimension,sional references. This restriction enables us to make full use of the experience gained in Chapter I. The problems considered here are more difficult than two-point boundary value problems, but not as difficult as elliptic (steady) problems in two space dimensions.

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Springer-Verlag Berlin Heidelberg 1996

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