pce_legendre_test

pce_legendre_test, an Octave code which calls pce_legendre(), which sets up the system matrix for a polynomial chaos expansion, using Legendre polynomials with a linear factor, applied to a 2D PDE with a stochastic diffusion coefficient.

Licensing:

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

Related Data and Programs:

pce_legendre, an Octave code which sets up the system matrix for a polynomial chaos expansion, using Legendre polynomials with a linear factor, applied to a 2D PDE with a stochastic diffusion coefficient.

Source Code:

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

• arrow_n3_p2.png, a SPY picture of the nonzeros in the matrix bxy produced by

  [nxy,bxy,fxy]=pce_legendre_linear_assemble(3,2)

• arrow_n4_p1.png, a SPY picture of the nonzeros in the matrix bxy produced by

  [nxy,bxy,fxy]=pce_legendre_linear_assemble(4,1)

• arrow_n4_p2.png, a SPY picture of the nonzeros in the matrix bxy produced by

  [nxy,bxy,fxy]=pce_legendre_linear_assemble(4,2)

• arrow_n4_p3.png, a SPY picture of the nonzeros in the matrix bxy produced by

  [nxy,bxy,fxy]=pce_legendre_linear_assemble(4,3)

• arrow_n4_p4.png, a SPY picture of the nonzeros in the matrix bxy produced by

  [nxy,bxy,fxy]=pce_legendre_linear_assemble(4,4)