On improving the convergence rates of extrapolated alternating direction implicit schemes

DOI10.1007/BF01932718zbMath0355.65076MaRDI QIDQ4127311

Apostolos Hadjidimos, George Avdelas

Publication date: 1976

Published in: BIT (Search for Journal in Brave)

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (6)

The solution of elliptic partial differential equations in R-theta geometry by extrapolated A.D.I. methods ⋮ On extrapolated alternating direction implicit (E.A.D.I.) methods of second order ⋮ Analytical eigenvalue bounds for matrices arising when discretizing the self-adjoint second order elliptic partial differential equations ⋮ On the general problem of formulation and optimization of a p-parametric extrapolated alternating direction implicit sheme ⋮ Improved extrapolated alternating direction implicit schemes for the numerical solution of three-dimensional elliptic problems ⋮ A fast method for choosing the optimum extrapolation parameter for an e.a.d.i. scheme

Cites Work

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• Alternating direction methods for three space variables
• Solving Laplace's equation in a rectangle by alternating direction implicit methods
• Une nouvelle méthode de directions alternees à q variables
• Some high accuracy difference with a Splitting operator for equations of parabolic and elliptic type
• The numerical solution of a model problem biharmonic equation by using extrapolated alternating direction implicit methods
• Optimum extrapolated ADI iterative difference schemes for the solution of Laplace's equation in three space variables
• Optimum Extrapolated Alternating Direction Implicit Schemes in the Presence of Singular Matrices
• Extrapolated alternating direction implicit iterative methods

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