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Computational Galerkin Methods

Computational Galerkin Methods

Paperback

Series: Scientific Computation

General ComputersGeneral MathematicsPhysics

ISBN10: 3642859518
ISBN13: 9783642859519
Publisher: Springer Nature
Published: Jun 13 2012
Pages: 310
Weight: 1.01
Height: 0.68 Width: 6.14 Depth: 9.21
Language: English
In the wake of the computer revolution, a large number of apparently uncon- nected computational techniques have emerged. Also, particular methods have assumed prominent positions in certain areas of application. Finite element methods, for example, are used almost exclusively for solving structural problems; spectral methods are becoming the preferred approach to global atmospheric modelling and weather prediction; and the use of finite difference methods is nearly universal in predicting the flow around aircraft wings and fuselages. These apparently unrelated techniques are firmly entrenched in computer codes used every day by practicing scientists and engineers. Many of these scientists and engineers have been drawn into the computational area without the benefit offormal computational training. Often the formal computational training we do provide reinforces the arbitrary divisions between the various computational methods available. One of the purposes of this monograph is to show that many computational techniques are, indeed, closely related. The Galerkin formulation, which is being used in many subject areas, provides the connection. Within the Galerkin frame-work we can generate finite element, finite difference, and spectral methods.

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General Mathematics