A Kronecker product variant of the FACR method for solving the generalized Poisson equation
type: Item
instance of: scholarly article
title: A Kronecker product variant of the FACR method for solving the generalized Poisson equation
zbMATH Open document ID: 0996.65030
DOI: 10.1016/S0377-0427(01)00409-5
author: Jef Hendrickx
author: Marc van Barel
published in: Journal of Computational and Applied Mathematics
publication date: 2002-06-24T00:00:00Z
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 1758437
zbMATH Keywords: FACR
zbMATH Keywords: KPCR
zbMATH Keywords: fast direct method
zbMATH Keywords: finite difference
zbMATH Keywords: Poisson's equation
zbMATH Keywords: Kronecker product method
zbMATH Keywords: algorithm
zbMATH Keywords: cyclic reduction
zbMATH Keywords: Fourier analysis
zbMATH Keywords: matrix decomposition
MaRDI profile type: Publication
cites work: Spectral and computational properties of band symmetric Toeplitz matrices
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cites work: A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
cites work: Direct solution of partial difference equations by tensor product methods
cites work: Tensor product analysis of partial difference equations
cites work: A special class of structured matrices constructed with the Kronecker product and its use for difference equations
cites work: The Methods of Cyclic Reduction, Fourier Analysis and the FACR Algorithm for the Discrete Solution of Poisson’s Equation on a Rectangle
cites work: Approximate Cyclic Reduction for Solving Poisson’s Equation
cites work: A Cyclic Reduction Algorithm for Solving Block Tridiagonal Systems of Arbitrary Dimension
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description: scientific article; zbMATH DE number 1758437