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Ordering Schemes for Parallel Processing of Certain Mesh Problems

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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The solution of linear complementarity problems on an array processor

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A GENERALIZED CONJUGATE GRADIENT METHOD FOR THE NUMERICAL SOLUTION OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

inferredcites →https://doi.org/10.1016/b978-0-12-632620-8.50008-5openalex-snapshot

MULTIGRID SOLVERS ON PARALLEL COMPUTERS

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Fifth Generation Computer Systems

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Elliptic Problem Solvers

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On Estimating the "Rates of Convergence" of Iterative Methods for Elliptic Difference Equations

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The ILLIAC IV Computer

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On Block-Parallel Methods for Solving Linear Equations

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On the Mapping Problem

inferredcites →https://doi.org/10.1109/tc.1982.1675922openalex-snapshot

Wavefront Array Processor: Language, Architecture, and Applications

inferredcites →https://doi.org/10.1109/tc.1982.1676014openalex-snapshot

The Burroughs Scientific Processor (BSP)

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Block Iterative Methods for Elliptic and Parabolic Difference Equations

inferredcites →https://doi.org/10.1137/1020096openalex-snapshot

A Survey of Parallel Algorithms in Numerical Linear Algebra

inferredcites →https://doi.org/10.1214/aoms/1177731719openalex-snapshot

On Methods of Solving Normal Equations

inferredcites →https://doi.org/10.2307/2003862openalex-snapshot

Matrix Iterative Analysis

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Vectorized multigrid fluid flow calculations on a CRAY X‐MP/48

inferred← citeshttps://doi.org/10.1007/978-3-322-85732-3_10openalex-snapshot

Quadrant Tridiagonal Partitioning and Preconditioned Conjugate Gradient Method for Solving Elliptic Problems

inferred← citeshttps://doi.org/10.1016/0010-4655(89)90164-1openalex-snapshot

Ordering techniques for the preconditioned conjugate gradient method on parallel computers

inferred← citeshttps://doi.org/10.1016/0024-3795(93)90110-aopenalex-snapshot

A Krylov multisplitting algorithm for solving linear systems of equations

inferred← citeshttps://doi.org/10.1016/0096-3003(88)90029-xopenalex-snapshot

Parallel implementation of a multigrid method on the experimental 1CAP supercomputer

inferred← citeshttps://doi.org/10.1016/0167-7977(89)90018-xopenalex-snapshot

Iterative methods for multiprocessor vector computers

inferred← citeshttps://doi.org/10.1016/0167-8191(88)90003-8openalex-snapshot

Towards developing robust algorithms for solving partial differential equations on MIMD machines

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Bibliography

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On parallelizing a groundwater pollution simulator

inferred← citeshttps://doi.org/10.1016/s0096-3003(98)00008-3openalex-snapshot

A parallel Gauss—Seidel method using NR data flow ordering

inferred← citeshttps://doi.org/10.1016/s0168-2024(99)80012-5openalex-snapshot

References

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Convergence and performance of iterative methods for solving variable coefficient convection-diffusion equation with a fourth-order compact difference scheme

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A Performance Comparison of the Parallel Preconditioners for Iterative Methods for Large Sparse Linear Systems Arising from Partial Differential Equations on Structured Grids

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Azul: An Accelerator for Sparse Iterative Solvers Leveraging Distributed On-Chip Memory

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Orderings, Multicoloring, and Consistently Ordered Matrices

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Determination of Stripe Structures for Finite Element Matrices

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Is SOR Color-Blind?

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Approximate Schur Complement Preconditioners on Serial and Parallel Computers

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Krylov Subspace Methods on Supercomputers

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Two-Color Fourier Analysis of Iterative Algorithms for Elliptic Problems with Red/Black Ordering

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A Set of New Mapping and Coloring Heuristics for Distributed-Memory Parallel Processors

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Ordering Strategies for Modified Block Incomplete Factorizations

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Partitioning and Reordering for Spike-Based Distributed-Memory Parallel Gauss--Seidel

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COMPARISONS OF THE PARALLEL PRECONDITIONERS ON THE CRAY-T3E FOR LARGE NONSYMMETRIC LINEAR SYSTEMS

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