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Numerical Treatment of the Navier-Stokes Equations (Hardcover, Softcover Reprint Of The Original 1st 1990 Ed.) Loot Price: R1,610
Discovery Miles 16 100
Numerical Treatment of the Navier-Stokes Equations (Hardcover, Softcover Reprint Of The Original 1st 1990 Ed.): Wolfgang...

Numerical Treatment of the Navier-Stokes Equations (Hardcover, Softcover Reprint Of The Original 1st 1990 Ed.)

Wolfgang Hackbusch, Rolf Rannacher

Series: Notes on numerical fluid mechanics, Vol 30

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Loot Price R1,610 Discovery Miles 16 100 | Repayment Terms: R151 pm x 12*

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The most frequently used method for the numerical integration of parabolic differential equa tions is the method of lines, where one first uses a discretization of space derivatives by finite differences or finite elements and then uses some time-stepping method for the the solution of resulting system of ordinary differential equations. Such methods are, at least conceptually, easy to perform. However, they can be expensive if steep gradients occur in the solution, stability must be controlled, and the global error control can be troublesome. This paper considers a simultaneaus discretization of space and time variables for a one-dimensional parabolic equation on a relatively long time interval, called 'time-slab'. The discretization is repeated or adjusted for following 'time-slabs' using continuous finite element approximations. In such a method we utilize the efficiency of finite elements by choosing a finite element mesh in the time-space domain where the finite element mesh has been adjusted to steep gradients of the solution both with respect to the space and the time variables. In this way we solve all the difficulties with the classical approach since stability, discretization error estimates and global error control are automatically satisfied. Such a method has been discussed previously in 3] and 4]. The related boundary value techniques or global time integration for systems of ordinary differential equations have been discussed in several papers, see 12] and the references quoted therein."

General

Imprint: Friedrich Vieweg & Sohn Verlagsgesellschaft Mbh
Country of origin: Germany
Series: Notes on numerical fluid mechanics, Vol 30
Release date: April 1991
First published: 1990
Authors: Wolfgang Hackbusch • Rolf Rannacher
Dimensions: 230 x 155 x 9mm (L x W x T)
Format: Hardcover
Pages: 174
Edition: Softcover Reprint Of The Original 1st 1990 Ed.
ISBN-13: 978-3-528-07630-6
Categories: Books > Computing & IT > General theory of computing > General
Books > Computing & IT > Applications of computing > General
Books > Science & Mathematics > Physics > Classical mechanics > Fluid mechanics
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LSN: 3-528-07630-5
Barcode: 9783528076306

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