27
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Fast methods for the iterative solution of linear elliptic and parabolic partial differential equations involving 2 space dimensions

&
Pages 335-358 | Published online: 21 Dec 2010

References

  • Avdelas , G. 1975 . “ Contribution to the numerical solution of the first three boundary value problems for the equations of Laplace ” . In Poisson and Helmholtz , University of loannina . (Greek), Ph.D. Thesis
  • Avdelas , G. and Hadjidimos , A. 1974 . High accuracy extrapolated alternating direction implicit methods for the numerical solution of Neumann problems in the 2- and 3-dimensional cases . Math. Balkan , 4 : 29 – 37 .
  • Hadjidimos , A. 1970 . Extrapolated alternating direction implicit iterative methods . BIT , 10 : 465 – 475 .
  • Evans , D. J. 1972 . An algorithm for the solution of certain tri-diagonal systems of linear equations . Comp. J , 15 : 356 – 359 .
  • Evans , D. J. 1971 . The numerical solution of the fourth boundary value problem for parabolic partial differential equations . J.I.M.A , 7 : 61 – 75 .
  • Evans , D. J. 1977 . On the use of fast methods for the solution of linear boundary value problems . Comp. J , 20 : 181 – 184 .
  • Peaceman , D. W. and Rachford , H. H. 1955 . The numerical solution of parabolic and elliptic differential equations . S.I.A.M , 3 : 28 – 41 .
  • Wilkinson , J. H. 1963 . The Algebraic Eigenvalue Problem , Oxford Univ. Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.