lagrange_nd_test

lagrange_nd_test, a MATLAB code which calls lagrange_nd(), which is given a set of ND points X(*) in D-dimensional space, and constructs a family of ND Lagrange polynomials P(*)(X), associating polynomial P(i) with point X(i), such that, for 1 <= i <= ND,

        P(i)(X(i)) = 1
      

        P(i)(X(j)) = 0
      

Licensing:

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

Related Data and Programs:

lagrange_nd, a MATLAB code which implements several multivariate Lagrange interpolation schemes developed by Tomas Sauer.

Source Code:

• lagrange_nd_test.m, calls all the tests;
• lagrange_nd_test.sh, runs all the tests;
• lagrange_nd_test.txt, the output file.

• lagrange_nd_test01.m, tests mono_between_enum();
• lagrange_nd_test02.m, tests mono_total_enum();
• lagrange_nd_test03.m, tests mono_upto_enum();
• lagrange_nd_test04.m, tests mono_between_next();
• lagrange_nd_test05.m, tests lagrange_complete() in 1D, on a regular grid;
• lagrange_nd_test06.m, tests lagrange_complete() in 2D, on a regular triangular grid;
• lagrange_nd_test07.m, tests lagrange_complete() in 3D, on a regular tetrahedral grid;
• lagrange_nd_test08.m, tests lagrange_partial() on the 5 points of a dimension 2 level 1 CC sparse grid;
• lagrange_nd_test09.m, tests lagrange_partial() on the 25 points of a dimension 3 level 2 CC sparse grid;
• lagrange_nd_test10.m, tests lagrange_partial2() on the 13 points of a dimension 2 level 2 CC sparse grid, and the evaluates the Lagrange interpolant there.
• lagrange_nd_test11.m, tests lagrange_partial3() on the 65 points of a dimension 2 level 3 CC sparse grid, and the evaluates the Lagrange interpolant there.