DISCRETIZATION 

5 POINT STAR  Standard finite differences 
7 POINT STAR  Standard finite differences in 3D (boxes) 
COLLOCATION  Collocation by Hermite piecewise bicubic elements 
INTERIOR COLLOCATION  Collocation (rectangles) + uncoupled boundary conditions 
HERMITE COLLOCATION  Collocation (rectangles) 
SPLINE GALERKIN  Galerkin, General piecewise polynomials (rectangles) 
HODIE  High order finite method, (rectangles) 
HODIE HELMHOLTZ  Fast HODIE for Helmholtz problems 
INDEXING 

RED BLACK  Redblack ordering of finite difference equations 
MINIMUM DEGREE  Minimum degree ordering of equations 
REVERSE CUTHILL MCKEE  Reduce bandwidth of linear systems 
NESTED DISSECTION  Very efficient ordering for Gauss elimination 
INTERIOR COLLORDER  Reorder INTERIOR COLLOCATION equations 
HERMITE COLLORDER  Reorder HERMITE COLLOCATION equations 
SOLUTION 

LINPACK BAND  LINPACK band matrix solver 
LINPACK SPD BAND  LINPACK for symmetric positive definite band matrix 
BAND GE  LINPACK BAND with scaled partial pivoting 
BAND GE NO PIVOTING  LINPACK BAND with no pivoting at all 
ENVELOPE LDLT  Envelope elimination for symmetric band matrices 
ENVELOPE LDU  Envelope elimination for band matrices 
SOR  Successive overrelaxation 
JACOBI SI  Jacobi iteration with SemiIterative (SI) acceleration 
JACOBI CG  Jacobi iteration with Conjugate Gradient (CG) acceleration 
SYMMETRIC SOR SI  Line SOR with SI acceleration 
SYMMETRIC SOR CG  Line SOR with CG acceleration 
REDUCED SYSTEM  Iteration for red black ordering, SI acceleration 
REDUCED SYSTEM CG  Iteration for red black ordering, CG acceleration 
SPARSE LU PIVOTING  Sparse factorization with pivoting 
SPARSE GE NO PIVOTING  Sparse Gauss elimination with no pivoting 
SPARSE LU UNCOMPRESSED  Sparse matrix factorization, no pivoting 
SPARSE LU COMPRESSED  SPARSE LU, compressed storage scheme 
SPARSE LDLT  Sparse matrix factorization, symmetric matrices 
TRIPLE 

HODIE 27 POINT 3D  High order differences, tensor product solution 
FFT 9 POINT  Fast Fourier Transforms methods 
P2C0 TRIANGLES  Galerkin method, biquadratic polynomials on triangles 
MARCHING ALGORITHM  Generalized marching algorithm 
DYAKANOV CG  Finite Differences, DYAKANOV conjugate gradient solution 
DYAKANOV CG 4  Fourth order extrapolation of DYAKANOV CG 
FISHPAK HELMHOLTZ  FISHPAK cyclic reduction method for Helmholtz equation 
SET U BY BLENDING  Initialize u(x,y) 
SET U BY BICUBICS  Initialize u(x,y) 
MULTIGRID MG00  Multigrid method for aUXX + bUYY + f U = g 
HODIE FFT  High order differences + FFT 
HODIE FFT 3D  HODIE FFT in 3 dimensions 
PROCEDURE 

EIGENVALUES  Compute eigenvalues of discretization matrix 
SET UNKNOWN FOR 5 POINT STAR  Initialize u(x,y) for iteration methods 
DISPLAY MATRIX PATTERN  Print pattern of nonzeros in discretization matrix 
REMOVE BLENDED BC  Change PDE by subtracting from u(x,y) 
REMOVE BICUBIC BC  Change PDE by subtracting from u(x,y) 