On comparing optimum alternating direction preconditioning and extrapolated alternating direction implicit schemes

DOI10.1016/0022-247X(77)90082-8zbMath0377.65051MaRDI QIDQ1246262

Apostolos Hadjidimos

Publication date: 1977

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (8)

Alternating direction implicit preconditioning methods for self adjoint elliptic differential equations ⋮ Parallel solution to certain banded, symmetric and centro-symmetric systems by using the quadrant interlocking factorisation method ⋮ Second order Chebyshev semi-iteration in connection with p-parametric E.A.D.I. schemes ⋮ The modified alternating direction preconditioning method for the numerical solution of the elliptic self-adjoint second order and biharmonic equations ⋮ A note on the simplification ofp-parametric E.A.D.I. schemes for elliptic problems of higher order ⋮ On the factorization of special symmetric periodic and non-periodic quindiagonal matrices ⋮ On the general problem of formulation and optimization of a p-parametric extrapolated alternating direction implicit sheme ⋮ A comparison of rates of convergence for the modified alternating direction preconditioning (MADP) method

Cites Work

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• Solving Laplace's equation in a rectangle by alternating direction implicit methods
• Une nouvelle méthode de directions alternees à q variables
• The numerical solution of a model problem biharmonic equation by using extrapolated alternating direction implicit methods
• An Alternating Direction Method for Solving the Biharmonic Equation
• 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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