DISCRETIZATION
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5 POINT STAR
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Standard finite differences
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7 POINT STAR
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Standard finite differences in 3D (boxes)
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COLLOCATION
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Collocation by Hermite piecewise bicubic elements
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INTERIOR COLLOCATION
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Collocation (rectangles) + uncoupled boundary conditions
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HERMITE COLLOCATION
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Collocation (rectangles)
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SPLINE GALERKIN
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Galerkin, General piecewise polynomials (rectangles)
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HODIE
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High order finite method, (rectangles)
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HODIE HELMHOLTZ
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Fast HODIE for Helmholtz problems
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INDEXING
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RED BLACK
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Red-black ordering of finite difference equations
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MINIMUM DEGREE
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Minimum degree ordering of equations
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REVERSE CUTHILL MCKEE
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Reduce bandwidth of linear systems
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NESTED DISSECTION
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Very efficient ordering for Gauss elimination
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INTERIOR COLLORDER
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Reorder INTERIOR COLLOCATION equations
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HERMITE COLLORDER
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Reorder HERMITE COLLOCATION equations
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SOLUTION
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LINPACK BAND
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LINPACK band matrix solver
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LINPACK SPD BAND
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LINPACK for symmetric positive definite band matrix
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BAND GE
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LINPACK BAND with scaled partial pivoting
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BAND GE NO PIVOTING
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LINPACK BAND with no pivoting at all
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ENVELOPE LDLT
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Envelope elimination for symmetric band matrices
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ENVELOPE LDU
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Envelope elimination for band matrices
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SOR
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Successive overrelaxation
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JACOBI SI
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Jacobi iteration with Semi-Iterative (SI) acceleration
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JACOBI CG
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Jacobi iteration with Conjugate Gradient (CG) acceleration
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SYMMETRIC SOR SI
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Line SOR with SI acceleration
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SYMMETRIC SOR CG
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Line SOR with CG acceleration
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REDUCED SYSTEM
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Iteration for red black ordering, SI acceleration
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REDUCED SYSTEM CG
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Iteration for red black ordering, CG acceleration
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SPARSE LU PIVOTING
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Sparse factorization with pivoting
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SPARSE GE NO PIVOTING
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Sparse Gauss elimination with no pivoting
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SPARSE LU UNCOMPRESSED
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Sparse matrix factorization, no pivoting
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SPARSE LU COMPRESSED
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SPARSE LU, compressed storage scheme
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SPARSE LDLT
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Sparse matrix factorization, symmetric matrices
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TRIPLE
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HODIE 27 POINT 3D
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High order differences, tensor product solution
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FFT 9 POINT
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Fast Fourier Transforms methods
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P2C0 TRIANGLES
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Galerkin method, biquadratic polynomials on triangles
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MARCHING ALGORITHM
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Generalized marching algorithm
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DYAKANOV CG
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Finite Differences, DYAKANOV conjugate gradient solution
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DYAKANOV CG 4
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Fourth order extrapolation of DYAKANOV CG
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FISHPAK HELMHOLTZ
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FISHPAK cyclic reduction method for Helmholtz equation
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SET U BY BLENDING
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Initialize u(x,y)
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SET U BY BICUBICS
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Initialize u(x,y)
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MULTIGRID MG00
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Multigrid method for aUXX + bUYY + f U = g
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HODIE FFT
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High order differences + FFT
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HODIE FFT 3D
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HODIE FFT in 3 dimensions
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PROCEDURE
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EIGENVALUES
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Compute eigenvalues of discretization matrix
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SET UNKNOWN FOR 5 POINT STAR
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Initialize u(x,y) for iteration methods
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DISPLAY MATRIX PATTERN
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Print pattern of non-zeros in discretization matrix
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REMOVE BLENDED BC
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Change PDE by subtracting from u(x,y)
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REMOVE BICUBIC BC
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Change PDE by subtracting from u(x,y)
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