M. Chugunova and D. Pelinovsky
On the uniform convergence of the Chebyshev interpolants for solitons
Mathematics and Computers in Simulation 80, 794-803 (2009)
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, convergence of polynomial interpolations,
solitons, numerical errors