An effective high-order point-collocation numerical approach based on integrated approximants for elliptic differential equations

Mai-Duy, Nam and Tran-Cong, Thanh (2008) An effective high-order point-collocation numerical approach based on integrated approximants for elliptic differential equations. In: Leading-edge applied mathematical modeling research. Nova Science Publishers, Inc., New York, United States, pp. 215-250. ISBN 1-60021-977-2

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Abstract

This chapter presents the basic features of high-order integral collocation techniques and demonstrates their application to engineering problems. Emphasis is placed on the advantage of the integral collocation approach over the conventional differential approach in the treatment of multiple boundary conditions, complex geometries and domain decompositions.


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Item Type: Book Chapter (Commonwealth Reporting Category B)
Refereed: Yes
Item Status: Live Archive
Additional Information: Reprinted with permission from Nova Science Publishers, Inc. from: Mai-Duy, Nam and Tran-Cong, Thanh (2008). An effective high-order point-collocation numerical approach based on integrated approximants for elliptic differential equations. In: Álvarez, Matías P., (ed.). Leading-edge applied mathematical modeling research. Nova Science Publishers, Inc., New York, United States, pp. 215-250. ISBN 1-60021-977-2. Print copy held in USQ Library at call no. 511.8 Lea.
Depositing User: Dr Nam Mai-Duy
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 26 May 2009 03:31
Last Modified: 02 Jul 2013 23:09
Uncontrolled Keywords: radial basis functions, chebyshev polynomials, integral collocation formulation, multiple boundary conditions, complex geometries, domain decompositions
Fields of Research (FOR2008): 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
URI: http://eprints.usq.edu.au/id/eprint/4579

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