References
G. Avdelas and A. Hadjidimos,On the general problem of formulation and optimization of a p-parametric extrapolated Alternating Direction Implicit Scheme, Comp. & Math. with Appl. 5 (1979), 51–57.
G. Avdelas, D. J. Evans and A. Hadjidimos,Second order Chebyshev semi-iteration in connection with p-parametric E.A.D.I. schemes, T.R. No 63, Department of Computer Studies, University of Technology, Loughborough, England, 1978.
G. Avdelas and A. Hadjidimos,The numerical solution of the self-adjoint second order elliptic partial differential equation under mixed boundary conditions, Anal. Numer. Theor. Approx. 7 (1978), 117–133.
Y. G. D'Yakonov,On the application of disintegrating difference operators, Z. Vycisl. Mat. i. Mat. Fiz. 3 (1963), 385–388.
G. Avdelas and A. Hadjidimos,Optimum biparametric E.A.D.I. and A.D.P. schemes for the numerical solution of 2-dimensional elliptic problems, Rev. Roum. Math. Pures et Appl. XXIV (1979), 999–1012.
G. Avdelas and A. Hadjidimos,Optimum biparametric E.A.D.I. and A.D.P. schemes for the numerical solution of the biharmonic equation, T.R. No 131, School of Physics and Mathematics, University of Ioannina, Ioannina, Greece, 1977.
A. Hadjidimos,On comparing optimum alternating direction preconditioning and extrapolated alternating implicit schemes, J. Math. Anal. Appl. 59 (1977), 573–586.
D. J. Evans and N. M. Missirlis,The modified alternating direction preconditioning method for the numerical solution of the elliptic self-adjoint second order and biharmonic equations, BIT 19 (1979), 172–185.
R. S. Varga,Matrix Iterative Analysis, Prentice-Hall, New Jersey, 1962.
E. L. Wachspress,Iterative Solution of Elliptic Systems, Prentice-Hall, New Jersey, 1966.
J. Guittet,Une nouvelle méthode de directions alternées à q variables, J. Math. Anal. Appl. 17 (1967), 199–213.
D. M. Young,Iterative Solution of Large Linear Systems, Academic Press, New York, 1971.
A. Hadjidimos,The numerical solution of a model problem biharmonic equation by using extrapolated alternating direction implicit methods, Numer. Math. 17 (1971), 301–317.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hadjidimos, A. A note on the simplification ofp-parametric E.A.D.I. schemes for elliptic problems of higher order. BIT 20, 110–114 (1980). https://doi.org/10.1007/BF01933593
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01933593