80
Views
5
CrossRef citations to date
0
Altmetric
Miscellany

Preconditioned rotated iterative methods in the solution of elliptic partial differential equation

&
Pages 1163-1174 | Received 26 Feb 2004, Published online: 25 Jan 2007

References

References

  • Dahlquist G Bjorck A (1974) Numerical Methods, Prentice-Hall Englewood Cliffs New Jersey
  • Vichnevetsky R (1981) Computer Methods for Partial Differential Equations 1 Prentice-Hall Englewood Cliffs New Jersey
  • Abdullah , AR . (1991) . The four point explicit decoupled group (EDG) method: a fast Poisson solver . Int. J. Comput. Math. , 38 : 61 – 70 .
  • Ali , NHM and Abdullah , AR . (1997) . A new fast Navier–Stokes solver and its parallel implementation . Malaysian J. Comp. Sci. , 10 ( 2 ) : 51 – 59 .
  • Ali , NHM and Abdullah , AR . (1999) . New rotated iterative algorithms for the solution of a coupled system of elliptic equations . Int. J. Comput. Math. , 74 : 223 – 251 .
  • Ali NHM Abdullah AR (2002) Efficient iterative biharmonic solvers on a shared memory parallel computer In: E. A. Lipitakis (Ed.) Proceedings of the 5th Hellenic European Conference on Computer Mathematics and its Applications (HERCMA 2001) 2 Athens Greece Sep. 20–22, 2001. LEA Publisher Athens pp. 597–604 (ISBN: 960-85176-7-2)
  • Yousif , WS and Evans , DJ . (1995) . Explicit decoupled group iterative methods and their parallel implementations . Parallel Algorithms Appl. , 7 : 53 – 71 .
  • Evans , DJ . (1968) . The use of preconditioning in iterative methods for solving linear equations with symmetric positive definite matrices . JIMA , 4 : 295 – 314 .
  • Evans DJ (1983) Preconditioning Methods: Analysis and Applications, Gordon and Breach Science Publishers New York (ISSN 0275 5815)
  • Evans DJ (1994) Preconditioned Iterative Methods, Gordon and Breach Science Publishers Switzerland (ISBN 2-88124-956-6)
  • Frankel , SP . (1950) . Convergence rates of iterative treatments of partial differential equations . MTAC , 4 : 65 – 75 .
  • Engeli M Ginsburg T Rutishauser H Stiefel EL (1959) Refined Iterative Methods for Computation of the Solution and the Eigenvalues of Self-Adjoint Boundary Value Problems, Birkhauser Verlag Basel

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.