newton_interp_1d

newton_interp_1d, an Octave code which finds a polynomial interpolant to data using Newton divided differences.

NEWTON_INTERP_1D needs access to the R8LIB libraries. The test code also needs access to the TEST_INTERP library.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

newton_interp_1d is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

newton_interp_1d_test

r8lib, a MATLAB code which contains many utility routines, using double precision real (R8) arithmetic.

test_interp_1d, an Octave code which defines test problems for interpolation of data y(x), depending on a 2D argument.

Reference:

1. Kendall Atkinson,
   An Introduction to Numerical Analysis,
   Prentice Hall, 1989,
   ISBN: 0471624896,
   LC: QA297.A94.1989.
2. Philip Davis,
   Interpolation and Approximation,
   Dover, 1975,
   ISBN: 0-486-62495-1,
   LC: QA221.D33
3. David Kahaner, Cleve Moler, Steven Nash,
   Numerical Methods and Software,
   Prentice Hall, 1989,
   ISBN: 0-13-627258-4,
   LC: TA345.K34.

Source Code:

• newton_coef_1d.m, solves the Vandermonde system of equations for the coefficients of the polynomial that interpolates a given set of (x,y) data.
• newton_value_1d.m, evaluates a Vandermonde interpolant.