On the uniform convergence of the Chebyshev interpolants for solitons

Marina Chugunova and Dmitry Pelinovsky

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 80, issue 4, 794-803

Abstract: We discuss polynomial interpolation and derive sufficient conditions for the uniform convergence of Chebyshev interpolants for different classes of functions. Rigorous results are illustrated with a number of examples which include solitons on an infinite line with algebraic, exponential and Gaussian decay rates. Suitable mappings of the real line to the interval [−1,1] are considered for each class of solutions.

Keywords: Chebyshev interpolation; uniform convergence; solitons (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2009:i:4:p:794-803

DOI: 10.1016/j.matcom.2009.08.034

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