## Advances in computer methods for partial differential equations II: proceedings of the second IMACS (AICA) International Symposium on Computer Methods for Partial Differential Equations, held at Lehigh University, Bethlehem, Pennsylvania, U.S.A., June 22-24, 1977 |

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### Contents

RECENT DEVELOPMENTS OF THE HOPSCOTCH METHOD A R Gourlay | 1 |

SOFTWARE FOR LINEAR ELLIPTIC PROBLEMS ON GENERAL TWO DIMENSIONAL DOMAINS E N Houstis | 7 |

THE MODIFIED CONJUGATE RESIDUAL METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS R Chandra | 13 |

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accuracy ADVANCES IN COMPUTER algebraic algorithm analog analysis applied assumed biharmonic equation block boundary conditions boundary value problem calculated cell coefficients collocation components COMPUTER METHODS consider constant convergence cubic defined density dependent derivatives difference approximation discretization domain efficient elliptic equa error evaluation Figure finite difference finite element method flow formulation Galerkin method Gaussian quadrature given Green's function grid hybrid computer I M A C S I M A C S AICA initial conditions integral equations iteration linear matrix mesh METHODS FOR PARTIAL nodes nonlinear numerical method numerical solution obtained ODE's operator ordinary differential equations parabolic parallel computer parameter PARTIAL DIFFERENTIAL EQUATIONS PDE's points polynomials presented pressure procedure PUBL quadrature rectangular simulation singular solved space square step Table technique theorem tion trial functions variables variation vector velocity VICHNEVETSKY Editor zero