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Parallel Poisson and Biharmonic solvers

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What this work says

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

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Matrix Iterative Analysis

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The fast Fourier transform algorithm: Programming considerations in the calculation of sine, cosine and Laplace transforms

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On Fourier-Toeplitz Methods for Separable Elliptic Problems

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The fast Fourier transform

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Time and Parallel Processor Bounds for Linear Recurrence Systems

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A Fast Poisson Solver Amenable to Parallel Computation

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Seismic Signal Processing via the ILLIAC IV Computer

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On Direct Methods for Solving Poisson’s Equations

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Solving the Biharmonic Equation as Coupled Finite Difference Equations

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The Direct Solution of the Biharmonic Equation on Rectangular Regions and the Poisson Equation on Irregular Regions

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The Direct Solution of the Discrete Poisson Equation on a Rectangle

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Error Analysis of Direct Methods of Matrix Inversion

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An Adaptation of the Fast Fourier Transform for Parallel Processing

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Solving the biharmonic equation in a square

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Matrix Iterative Analysis

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The Theory of Matrices in Numerical Analysis.

What points at this work

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

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Managing the Overall Balance of Operating System Threads on a Multiprocessor Using Automatic Self-Allocating Threads (ASAT)

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A parallel block cyclic reduction algorithm for the fast solution of elliptic equations

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Parallel Numerical Computing from Illiac IV to Exascale—The Contributions of Ahmed H. Sameh

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References to Chapters 1 to 7

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Elemente paralleler Algorithmen

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High-Speed Processors and Implication for Algorithms and Methods

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Matrix Computations on Shared-Memory Multiprocessors

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Synthesis of Parallel Numerical Algorithms

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Parallel algorithms for solving certain elliptic boundary value problems

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VLSI elliptic solvers

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Special Linear Systems

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Parallel computations in linear algebra

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Parallel computations in linear algebra. II

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A fast Poisson solver

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A fast algorithm for solving the first biharmonic boundary value problem

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On some parallel algorithms for inverting tridiagonal and pentadiagonal matrices

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Solving two modified discrete poisson equations in 7logn steps on N2 processors

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An elimination approach for fast parallel solution of the model fourth-order elliptic problem

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Structural computations on the Cedar system

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A parallel block cyclic reduction algorithm for the fast solution of elliptic equations

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The application of VLSI poisson solvers to the biharmonic problem

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A parallel alternating direction implicit preconditioning method

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Matrix decomposition algorithms for separable elliptic boundary value problems in two space dimensions

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Parallel direct linear system solvers -- a survey

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On the structure of parallelism in a highly concurrent PDE solver

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A parallel perturbed biharmonic solver

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STRUCTURAL COMPUTATIONS ON THE CEDAR SYSTEM

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A FAST POISSON SOLVER FOR MULTIPROCESSORS11Research supported in part by NSF grant MCS 81-17010.

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EFFICIENT SOLUTION OF THE BIHARMONIC EQUATION

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On some parallel banded system solvers

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Parallel marching Poisson solvers

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On the Impact of Communication Complexity on the Design of Parallel Numerical Algorithms

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Massively parallel algorithms for real-time wavefront control of a dense adaptive optics system

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A Matrix Decomposition Method for Orthotropic Elasticity Problems

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On K -Line and $K \times K$ Block Iterative Schemes for a Problem Arising in Three-Dimensional Elliptic Difference Equations

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Block Iterative Methods for Elliptic and Parabolic Difference Equations

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Fast Numerical Solution of the Biharmonic Dirichlet Problem on Rectangles

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Alternating Direction Methods on Multiprocessors

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3. A Bibliography on Parallel and Vector Numerical Algorithms

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Solution of Partial Differential Equations on Vector and Parallel Computers

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A Survey of Parallel Algorithms in Numerical Linear Algebra

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Solution of Partial Differential Equations on Vector and Parallel Computers

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Parallel Algorithms for Dense Linear Algebra Computations

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A Parallel Fast Direct Solver for Block Tridiagonal Systems with Separable Matrices of Arbitrary Dimension

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A Survey of Parallel Machine Organization and Programming

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Distributed pC++ Basic Ideas for an Object Parallel Language

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Some iterative Poisson solvers applied to numerical solution of the model fourth-order elliptic problem

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