Second order Chebyshev semi-iteration in connection with p-parametric E.A.D.I. schemes

DOI10.1016/0771-050X(81)90053-XzbMath0472.65025MaRDI QIDQ1157873

George Avdelas, David J. Evans, Apostolos Hadjidimos

Publication date: 1981

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

rate of convergenceextrapolated alternating direction implicit schemesecond order Chebyshev semi-iterative method

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (2)

A note on the simplification ofp-parametric E.A.D.I. schemes for elliptic problems of higher order ⋮ Optimum second order stationary extrapolated iterative schemes

Cites Work

• Three-level extrapolated alternating direction implicit (E.A.D.I.) methods for the numerical solution of two-dimensional second order elliptic problems
• Solving Laplace's equation in a rectangle by alternating direction implicit methods
• On comparing optimum alternating direction preconditioning and extrapolated alternating direction implicit schemes
• On the general problem of formulation and optimization of a p-parametric extrapolated alternating direction implicit sheme
• Une nouvelle méthode de directions alternees à q variables
• The acceleration of the Peaceman-Rachford method by Chebyshev polynomials
• On Chebychev Acceleration Procedures for Alternating Direction Iterative Methods
• On the application of disintegrating difference operators
• The Use of Pre-conditioning in Iterative Methods for Solving Linear Equations with Symmetric Positive Definite Matrices
• Extrapolated alternating direction implicit iterative methods
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