padua

padua, a Python code which returns the coordinates of the 2D Padua points, as well as interpolation weights or quadrature weights, and images of the points in graphics files created by matplotlib.

Licensing:

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

Languages:

padua is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.

Related Data and Programs:

rbf_interp_2d, a Python code which defines and evaluates radial basis function (RBF) interpolants to 2D data.

test_interp_2d, a Python code which defines test problems for interpolation of data z(x,y), depending on a 2D argument.

Reference:

1. Marco Caliari, Stefano de Marchi, Marco Vianello,
   Bivariate interpolation on the square at new nodal sets,
   Applied Mathematics and Computation,
   Volume 165, Number 2, 2005, pages 261-274.
2. Marco Caliari, Stefano de Marchi, Marco Vianello,
   Algorithm 886: Padua2D: Lagrange Interpolation at Padua Points on Bivariate Domains,
   ACM Transactions on Mathematical Software,
   Volume 35, Number 3, October 2008, Article 21, 11 pages.

Source Code:

• padua.py, the source code.
• padua.sh, runs all the tests.
• padua.txt, the output file.

The program creates PNG images of the points.

• padua_0.png, the PNG image.
• padua_1.png, the PNG image.
• padua_2.png, the PNG image.
• padua_3.png, the PNG image.
• padua_4.png, the PNG image.
• padua_5.png, the PNG image.
• padua_6.png, the PNG image.
• padua_7.png, the PNG image.
• padua_8.png, the PNG image.
• padua_9.png, the PNG image.
• padua_10.png, the PNG image.