A computational algorithm for function approximattion by cubic splines
DOI:
https://doi.org/10.5902/2179460X26273Abstract
This work shows the existence of a unique cubic spline S(+), which satisfies the conditions of simple interpolation within the interval [tk, tn-k-1] when σ = (tj)j=k n-k-l is a real strictly increasing sequence of points equally spaced. Next an algorithm with a compitacional model to determine the cubic spline of interpolation is presented.
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GAZZONI, A. and GAZZONI, A. T. F., 1984. Diferenças Divididas. Ciência e Natura, 6:31-40, 1984.
GAZZONI, A. T. F. Uma limitação para interpolação de funções contínuas por Splines. Rio de Janeiro, 1979. (Tese de Mestrado-UFRJ) .
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ISAACSON, E. and KELLER, H. B. Analysis of Numerical Methods. New York, John Wiley & Sons, 1966.
DE BOOR, C. A pratical guid to Spline. New York, Springer Verlag, 1978.
CLÁUDIO, D. M. and MARINS, J. M. Cálculo Numérico Computacional. Editora Atlas S.A.-1989.
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