
Program Description
 Program to demonstrate the Akima spline fitting
 Explanation File of Program above (Akima)
 Collection of routines for Chebyshev polynomial approximation
 Explanation File of Chebyshev Approximation
 Program to demonstrate the Chebyshev polynomial approximation
 Program to demonstrate the Chebyshev polynomial approximation (integral)
 Program to demonstrate the Chebyshev polynomial approximation (derivative)
 Best approximation of a discrete real function F(X) by StiefelRemès's
polynomial method
 Polynomial Interpolation or Extrapolation of a discrete Function F(x)
using Polynomials.
 Polynomial Interpolation or Extrapolation of a discrete Function F(x)
using a Quotient of Polynomials.
 Interpolate a function F(x) by continuous fractions
 Explanation File of Program above (Confract)
 Interpolate a function by trigonometric polynoms
 Program to demonstrate Lagrange derivative interpolation
 Estimate the Nth derivative of a real function f(x), N=1 to 5
 Unit used by program below (difrom.pas)
 Computes an approximation for the first derivative of a function F(x)
using the ROMBERG method
 Calculate a limited development of a real function f(x) at point xo
with step h (up to order 5)
 Explanation File of Programs Ltddev
 Calculate a limited development of a real function f(x)*g(x) at x=0
up to order 25, knowing the limited developments of f(x) and g(x)
 Calculate a limited development of a real function f(x)/g(x) at x=0
up to order 25, knowing the limited developments of f(x) and g(x)
 Calculate a limited development of a real function f(x) o g(x) at x=0
up to order 25, knowing the limited developments of f(x) and g(x)
 Program to demonstrate the general integration subroutine
 Integration of a real function F(X),F(X,Y) or F(X,Y,Z) by Gauss method
 Program to demonstrate the Simpson integration subroutine
 Program to demonstrate the discrete Simpson integration
 Integration of a discrete function by the weighting coefficients Method
 Explanation File of Program above (Dinteg)
 Program to integrate a userdefined function f(x) from x1 to x2 by the
QANC8 subroutine with control of absolute and relative precisions
 Program to demonstrate the Romberg integration subroutine
 Integrate F(x) by using the summed ClenshawCurtis formula
 Unit to calculate sinintegral(x) or cosintegral(x)
 Demonstration Program of Unit Sinint
 Program to demonstrate the discrete Primitive subroutine
 Program to demonstrate the discrete Primitive subroutine with graph
 Unit used by two programs below (kubnec.pas)
 Test program for cubature over rectangles using NewtonCotes
 Test program for cubature over triangles using 3point NewtonCotes
and RombergRichardson extrapolation
 Module used by two programs below (kubgauss.pas)
 Test program for cubature over rectangles using Gauss
 Test programm for cubature over triangles via summed Gaussian npoint formula
 Program to demonstrate Lagrange interpolation
 Explanation File of Program above (Lagrange)
 Program to demonstrate Laguerre coefficients
 Program to demonstrate Newton interpolation
 Explanation File of Program above (Newton)
 Cubic spline interpolation of a discrete function F(X), given by N points X(I),Y(I)
 Bracketing a minimum of a real function F(X)
 Explanation file of program below(GOLDEN)
 Seek Minimum of a real function F(X) by Golden Section Search
 Explanation file of program below(BRENT)
 Seek Minimum of a real function F(X) by Brent's Method
 Explanation file of program below(TAMOEBA)
 Multidimensional minimization of a function FUNC(X) where X is an NDIMdimensional
vector, by the downhill simplex method of Nelder and Mead
 Explanation file of program below(TPOWELL)
 Minimization of a Function FUNC of N Variables By Powell's Method
Discarding the Direction of Largest Decrease
 Program to demonstrate multidimensional Steepest Descent Optimization
(Partial derivatives not required)
 Explanation File of Program above (Steepda)
 Program to demonstrate multidimensional Steepest Descent Optimization
(Partial derivatives required)
 Explanation File of Program above (Steepds)
 Unit to compile and evaluate a user defined function
 Program to draw a real function F(x) or F(t) defined by its equation
 Program to draw a 2D function (cartesian, polar or parametric)
 Unit to Simplify a userdefined function F(x) used by program below
 Program to calculate the formal derivative of a userdefined function F(x)
