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Summary: This paper presents the systolic designs for the Jacobi overrelaxation, successive overrelaxation, accelerated overrelaxation, stationary and non-stationary second-order Richardson methods for the iterative solution of large linear systems. The linear systems are obtained from the discretization of a two- and three-dimensional Laplace equation by the finite difference method and the coefficient matrices are sparse symmetric and positive definite. We investigate the hardware implementation of a linear systolic array to achieve a low cost and optimal area efficient VLSI solution.
Finite difference methods for boundary value problems involving PDEs, Iterative numerical methods for linear systems, Computational methods for sparse matrices, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Hardware implementations of nonnumerical algorithms (VLSI algorithms, etc.)
Finite difference methods for boundary value problems involving PDEs, Iterative numerical methods for linear systems, Computational methods for sparse matrices, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Hardware implementations of nonnumerical algorithms (VLSI algorithms, etc.)
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