laplacian, an Octave code which evaluates a discretized approximation to the Laplacian operator on data on an evenly spaced grid, within a circle, an interval, or a torus. For the case of the interval, the data may be supplied on an unevenly spaced grid.
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laplacian is available in a MATLAB version and an Octave version and a Python version.
laplacian_matrix, a MATLAB code which carries out computations related to the discrete laplacian operator, including full or sparse evaluation, evaluation for unequally spaced data sampling points, application to data samples, solution of associated linear systems, eigenvalues and eigenvectors, and extension to 2D and 3D geometry.
test_matrix, an Octave code which defines test matrices for which some of the determinant, eigenvalues, inverse, null vectors, P*L*U factorization or linear system solution are already known.