The implementation of the explicit block iterative methods on the Balance 8000 parallel computer

DOI10.1016/0167-8191(90)90162-3zbMath0717.65077OpenAlexW2036691119MaRDI QIDQ2638743

W. S. Yousif, David J. Evans

Publication date: 1990

Published in: Parallel Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-8191(90)90162-3

zbMATH Keywords

numerical examplesparallel computationLaplace equationfinite difference approximationparallel computershared memory multiprocessorexplicit block iterative methods

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Rotated Krylov preconditioned iterative schemes in the solution of convection-diffusion equations ⋮ A Parallel four points modified explicit group algorithm on shared memory multiprocessors ⋮ Quartic non-polynomial spline solution for solving two-point boundary value problems by using conjugate gradient iterative method ⋮ Numerical performance of parallel group explicit solvers for the solution of fourth order elliptic equations ⋮ Convergence analysis of the preconditioned group splitting methods in boundary value problems ⋮ A comparative study of explicit group iterative solvers on a cluster of workstations ⋮ Group accelerated overrelaxation methods on rotated grid

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