## Advances in computer methods for partial differential equations-VI: proceedings of the sixth IMACS International Symposium on Computer Methods for Partial Differential Equations, held at Lehigh University, Bethlehem, Pennsylvania, U.S.A., June 23-25, 1987International Association for Mathematics and Computers in Simulation, United States. Office of Naval Research International Association for Mathematics and Computers in Simulation, 1987 - Differential equations, Partial - 565 pages |

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### Contents

ANALYSIS AND MODELING OF SCHWARTZ SPLITTING ALGORITHMS FOR ELLIPTIC PDEs J R Rice and D C Marinescu 1 | 7 |

LINEAR ADVECTION S T Zalesak | 15 |

NUMERICAL EXPERIMENTS AND IMPLEMENTATION OF A DOMAIN DECOMPOSITION METHOD WITH CROSS POINTS | 23 |

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### Common terms and phrases

accuracy adaptive ADVANCES IN COMPUTER airfoil algorithm analysis applied approximation Babuska block boundary conditions calculations cell coefficients COMPUTER METHODS conjugate gradient constant convergence corresponding defined denote derivatives diagonal dimensional discretization domain efficiency eigenvalues elliptic Euler equations Figure finite difference finite element method flow fluid flux Fortran function given grid points hypercube IMACS implementation integral interface iterative methods Jacobian Jacobian matrix linear algebra linear systems matrix memory mesh METHODS FOR PARTIAL multigrid Navier-Stokes equations nodes nonlinear number of processors numerical methods obtained operator parallel Parallel Computing parameters PARTIAL DIFFERENTIAL EQUATIONS partition performance phase plate preconditioner preconditioning problem propagation R.S. STEPLEMAN Editors rate of convergence reduced refinement region Reynolds number round-off errors scheme shock simulation solve solver space spatial speedup step techniques Theorem tion values variables vector velocity VICHNEVETSKY and R.S. viscosity viscous wave zero