chebyshev_interp_1d, a MATLAB code which determines the combination of Chebyshev polynomials which interpolates a set of data, so that p(x(i)) = y(i).
CHEBYSHEV_INTERP_1D needs the R8LIB library. The test program needs the TEST_INTERP library.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
chebyshev_interp_1d is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.
barycentric_interp_1d, a MATLAB code which defines and evaluates the barycentric lagrange polynomial p(x) which interpolates a set of data, so that p(x(i)) = y(i). the barycentric approach means that very high degree polynomials can safely be used.
chebyshev, a MATLAB code which computes the chebyshev interpolant/approximant to a given function over an interval.
chebyshev_series, a MATLAB code which can evaluate a chebyshev series approximating a function f(x), while efficiently computing one, two or three derivatives of the series, which approximate f'(x), f''(x), and f'''(x), by manfred zimmer.
clausen, a MATLAB code which evaluates a chebyshev approximant to the clausen function cl2(x).
divdif, a MATLAB code which uses divided differences to compute the polynomial interpolant to a given set of data.
hermite_polynomial, a MATLAB code which computes the hermite interpolant, a polynomial that matches function values and derivatives.
lagrange_interp_1d, a MATLAB code which defines and evaluates the lagrange polynomial p(x) which interpolates a set of data, so that p(x(i)) = y(i).
nearest_interp_1d, a MATLAB code which interpolates a set of data using a piecewise constant interpolant defined by the nearest neighbor criterion.
newton_interp_1d, a MATLAB code which finds a polynomial interpolant to data using newton divided differences.
pwl_interp_1d, a MATLAB code which interpolates a set of data using a piecewise linear interpolant.
r8lib, a MATLAB code which contains many utility routines using double precision real (r8) arithmetic.
rbf_interp_1d, a MATLAB code which defines and evaluates radial basis function (rbf) interpolants to 1d data.
shepard_interp_1d, a MATLAB code which defines and evaluates shepard interpolants to 1d data, which are based on inverse distance weighting.
spline, a MATLAB code which constructs and evaluates spline interpolants and approximants.
test_interp, a MATLAB code which defines a number of test problems for interpolation, provided as a set of (x,y) data.
test_interp_1d, a MATLAB code which defines test problems for interpolation of data y(x), depending on a 2d argument.
vandermonde_interp_1d, a MATLAB code which finds a polynomial interpolant to a function of 1d data by setting up and solving a linear system for the polynomial coefficients, involving the vandermonde matrix.