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Jan 7th, 2002, 02:14 PM
#1
Thread Starter
Fanatic Member
Cubic spline
Hi
Somebody know where do I found the Cubic Spline Algorithm ?
Tia
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Jan 7th, 2002, 04:43 PM
#2
Fanatic Member
Digital-X-Treme
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[VBCODE]Debug.Print Round(((1097) - ((55 ^ 5 + 311 ^ 3 - 11 ^ 3) _
/ (68 ^ 5))) ^ (1 / 7), 13)[/VBCODE]
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Jan 11th, 2002, 02:08 PM
#3
Frenzied Member
I found the following which might help.
A cubic spline is a spline constructed of piecewise third order polynomials which pass through a set of control points. The second derivative of each polynomial is commonly set to zero at the endpoints, since this provides a boundary condition that completes the system of (n - 2) equations, leading to a simple 3-diagonal system which can be solved easily to give the coefficients of the polynomials. However, this choice is not the only one possible, and other boundary conditions can be used instead.
Burden, R. L.; Faires, J. D.; and Reynolds, A. C. Numerical Analysis, 6th ed. Boston, MA: Brooks/Cole, pp. 120-121, 1997.
Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. "Cubic Spline Interpolation." §§3.3 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 107-110, 1992.
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