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Laplacian in 1D, 2D, or 3D 1.0
File ID: 86142






Laplacian in 1D, 2D, or 3D 1.0
Download Laplacian in 1D, 2D, or 3D 1.0http://www.mathworks.comReport Error Link
License: Shareware
File Size: 10.0 KB
Downloads: 11
Submit Rating:
Laplacian in 1D, 2D, or 3D 1.0 Description
Description: The code computes the exact eigenpairs of (1-3)D negative Laplacian on a rectangular finite-difference grid for combinations of Dirichlet, Neumann, and Periodic boundary conditions using explicit formulas from
http://en.wikipedia.org/wiki/Eigenvalues_a...cond_derivative

The code can also compute the sparse matrix itself, using Kronecker sums of 1D Laplacians. For more information on tensor sums, see
http://en.wikipedia.org/wiki/Kronecker_sum...rete_Laplacians

Example, compute everything for 3D negative Laplacian with mixed boundary conditions:
[lambda,V,A] = laplacian([100,45,55],{'DD' 'NN' 'P'}, 20);
Compute only the eigenvalues:
lambda = laplacian([100,45,55],{'DD' 'NN' 'P'}, 20);
Compute the matrix only:
[~,~,A] = laplacian([100,45,55],{'DD' 'NN' 'P'});

GNU OCTAVE compatible.

This code is a part of the BLOPEX eigensolver package, see
http://en.wikipedia.org/wiki/BLOPEX
or go directly to
http://code.google.com/p/blopex/

Copyright owners: Bryan C. Smith and Andrew V. Knyazev

License: Shareware

Related: eigenvalueslambda, Compute, onlya, Gnu, octave, 039p039, 039nn039, Mixed, conditionslambdava, laplacian, compatiblethis, blopex, bryan, smith, andrew, knyazev, owners, eigensolver

O/S:BSD, Linux, Solaris, Mac OS X

File Size: 10.0 KB

Downloads: 11



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