## MUItigriD Software for Elliptic Partial Differential Equations: MUDPACK |

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2-D Separable Elliptic ABDY*U RETURN END accuracy algorithm anisotropic BNDYC choose line relaxations coarser coarsest grid level codes compute default multigrid options DEFINING THE NUMBER derivative boundary conditions difference formula direct method discretization level error documentation DUDX efficiency elliptic partial differential Equation Solve EQUIVALENCED ERROR CONTROL error reduction exact solution example finest grid level finite difference FLAGS Fortran fourth-order approximation full multigrid cycle Gaussian elimination GBDY GRID POINTS Helmholtz Equation hybrid initial guess INPUT KCYCLE IS NONZERO linear system megaflop Mflop Ts Error MGOPT mixed derivative MUD2 MUD2CR MUD3 MUD3SP MUH2 multigrid iteration Mwords NCAR NON-FATAL ERROR partial differential equations PDE is separable planar relaxation point or line point relaxation POSSIBLE WITHIN GRID reach discretization level relaxation method relaxation sweeps requires self-adjoint Separable Elliptic Equation SMALL AS POSSIBLE SMALL ODD VALUE solution region Storage Mflop subgrid SUBROUTINE Technical Note u(t+dt version of MUDPACK