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In this paper, we investigate Jacobi pseudospectral method for fourth order problems. We establish some basic results on the Jacobi-Gauss-type interpolations in non-uniformly weighted Sobolev spaces, ...
SIAM Journal on Numerical Analysis, Vol. 51, No. 3 (2013), pp. 1443-1469 (27 pages) This paper provides a rigorous and delicate analysis for exponential decay of Jacobi polynomial expansions of ...
THE author takes for his motto a sentence of Liagre, “Les plus grands géomètres de l'Allemagne, Gauss, Jacobi, Encke, Bessel, &c., n'ont pas dédaigné de descendre dans de minutieux détails de calcul.” ...
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