On the general problem of formulation and optimization of a p-parametric extrapolated alternating direction implicit sheme
DOI10.1016/0898-1221(81)90139-5zbMath0401.65064OpenAlexW2055442061MaRDI QIDQ1255308
Apostolos Hadjidimos, George Avdelas
Publication date: 1979
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0898-1221(81)90139-5
Rates of ConvergenceNumerical SolutionAlternating Direction Implicit SchemeElliptic Partial Differential EquationMinimization of the Spectral Radius of the Iterative Matrix
Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
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Cites Work
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- Alternating direction methods for three space variables
- Eigenvalue spectrum of some special matrices
- The solution of elliptic partial differential equations in R-theta geometry by extrapolated A.D.I. methods
- Solving Laplace's equation in a rectangle by alternating direction implicit methods
- On the accelerated SSOR method for solving large linear systems
- On comparing optimum alternating direction preconditioning and extrapolated alternating direction implicit schemes
- Analytical eigenvalue bounds for matrices arising when discretizing the self-adjoint second order elliptic partial differential equations
- 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
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
- An Alternating Direction Method for Solving the Biharmonic Equation
- On improving the convergence rates of extrapolated alternating direction implicit schemes
- Fast methods for the iterative solution of linear elliptic and parabolic partial differential equations involving 2 space dimensions
- The acceleration of the Peaceman-Rachford method by Chebyshev polynomials
- Alternating direction iterational schemes for the numerical solution of the dirichlet problem
- On Chebychev Acceleration Procedures for Alternating Direction Iterative Methods
- On the application of disintegrating difference operators
- Optimum extrapolated ADI iterative difference schemes for the solution of Laplace's equation in three space variables
- Extended Application of Alternating Direction Implicit Iteration Model Problem Theory
- Extrapolated alternating direction implicit iterative methods
- Numerical Solution of the Robin Problem by Extrapolated A. D. I. Methods
- Numerical Determination of Fundamental Modes
- On Richardson's Method for Solving Linear Systems with Positive Definite Matrices
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