SPINTERP_EXAMPLES
Sparse Interpolation Examples Using SPINTERP

SPINTERP_EXAMPLES is a MATLAB library which provides a few examples of the use of SPINTERP.

SPINTERP is a powerful MATLAB library which uses sparse grids to carry out optimization, interpolation, and quadrature in higher dimensional spaces.

Licensing:

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

Languages:

SPINTERP_EXAMPLES is available in a MATLAB version.

Related Data and Programs:

SPINTERP, a MATLAB library which carries out piecewise multilinear hierarchical sparse grid interpolation; an earlier version of this software is ACM TOMS Algorithm 847, by Andreas Klimke;

TEST_INTERP_ND, a MATLAB library which defines test problems for interpolation of data z(x), depending on an M-dimensional argument.

TOMS847, a MATLAB library which carries out piecewise multilinear hierarchical sparse grid interpolation; this library is commonly called SPINTERP (version 2.1); this is ACM TOMS Algorithm 847, by Andreas Klimke;

Reference:

1. Andreas Klimke, Barbara Wohlmuth,
   Algorithm 847: SPINTERP: Piecewise Multilinear Hierarchical Sparse Grid Interpolation in MATLAB,
   ACM Transactions on Mathematical Software,
   Volume 31, Number 4, December 2005, pages 561-579.
2. Andreas Klimke,
   SPINTERP V2.1: Piecewise multilinear hierarchical sparse grid interpolation in MATLAB: Documentation.
3. Andreas Klimke,
   SPINTERP V2.1: Examples: Reference Results.

Source Code:

• r8mat_print.m prints an R8MAT.
• r8mat_print_some.m prints some of an R8MAT.
• timestamp.m prints the YMDHMS date as a timestamp.

Examples and Tests:

SINCOS seeks an interpolant of z(x,y)=sin(x)+cos(y).

• sincos_test.m creates an interpolant to z=sin(x)+cos(y) and displays it.
• sincos_test_output.txt creates an interpolant to z=sin(x)+cos(y) and displays it.
• sincos_f.m evaluates z=sin(x)+cos(y).
• sincos_grid.png an image of the grid.
• sincos_interp.png an image comparing the function and its interpolant.

You can go up one level to the MATLAB source codes.