Application of Gegenbauer polynomial expansions to mitigate Gibbs phenomenon in Fourier-Bessel series solutions of a dynamic sphere problem-Reference-Cited by-同舟云学术

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Application of Gegenbauer polynomial expansions to mitigate Gibbs phenomenon in Fourier-Bessel series solutions of a dynamic sphere problem

Published:2009-07-13 Issue:10 Volume:26 Page:1276-1292
ISSN:2040-7939
Container-title:International Journal for Numerical Methods in Biomedical Engineering
language:en
Short-container-title:Int. J. Numer. Meth. Biomed. Engng.

Author:

Kamm James R.,Williams Todd O.,Brock Jerry S.,Li Shengtai

Publisher

Wiley

Subject

Applied Mathematics,Computational Theory and Mathematics,Molecular Biology,Modeling and Simulation,Biomedical Engineering,Software

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/cnm.1207/fullpdf

Reference23 articles.

1. On the Gibbs phenomenon and its resolution;Gottlieb;SIAM Review,1997

2. Review of code and solution verification procedures for computational simulation;Roy;Journal of Computational Physics,2005

3. Towards the resolution of the Gibbs phenomena;Shizgal;Journal of Computational and Applied Mathematics,2003

4. Generalization of the inverse polynomial reconstruction method in the resolution of the Gibbs phenomena;Jung;Journal of Computational and Applied Mathematics,2004

5. The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations

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1. A direct integral pseudospectral method for solving a class of infinite-horizon optimal control problems using Gegenbauer polynomials and certain parametric maps;AIMS Mathematics;2023

2. Benchmark solution of the dynamic response of a spherical shell at finite strain;European Journal of Mechanics - A/Solids;2017-01

3. Benchmark analytic solution of the dynamic sphere problem for Bodner–Partom elastic–viscoplastic materials;European Journal of Mechanics - A/Solids;2015-01

4. Representation of Functions in Basis Sets;Scientific Computation;2015

5. Benchmark analytic solution of the dynamic response of a spherical shell composed of a transverse isotropic elastic material;International Journal of Solids and Structures;2013-11

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