Spectral Elements For Transport-dominated Equations by DANIELE Funaro

Spectral Elements For Transport-dominated Equations

byDANIELE Funaro

Paperback | April 17, 1997

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The book deals with the numerical approximation of various PDEs using the spectral element method, with particular emphasis for elliptic equations dominated by first-order terms. It provides a simple introduction to spectral elements with additional new tools (upwind grids and preconditioners). Applications to fluid dynamics and semiconductor devices are considered, as well as in other models were transport-diffusion equations arise. The aim is to provide the reader with both introductive and more advanced material on spectral Legendre collocation methods. The book however does not cover all the aspects of spectral methods. Engineers, physicists and applied mathematicians may study how to implement the collocation method and use the results to improve their computational codes.
Title:Spectral Elements For Transport-dominated EquationsFormat:PaperbackProduct dimensions:221 pages, 9.25 X 6.1 X 0 inShipping dimensions:221 pages, 9.25 X 6.1 X 0 inPublished:April 17, 1997Publisher:Springer Berlin HeidelbergLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3540626492

ISBN - 13:9783540626497

Appropriate for ages: All ages

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Table of Contents

From the contents: The Poisson equation in the square.- Steady transport-diffusion equations.- Other kinds of boundary conditions.- The spectral element method.- Time discretization.- Extensions.- Appendix.- References.- Index.