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Original Articles

On the dynamic acceleration of the preconditioned simultaneous displacement (psd) method

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Pages 153-176 | Received 01 Jan 1981, Published online: 20 Mar 2007

References

  • Benokraitis , V.J. 1974 . “ On the acceleration of symmetric successive over-relaxation ” . In Ph.D. Thesis , University of Austic .
  • Diamond , M.A. 1971 . “ An economical algorithm for the solution of finite difference equations independent of user-supplied parameters ” . In Ph.D. Thesis , University of Illinois . Dept., of Computer Science
  • Evans , D.J. and Missirlis , N.M. 1979 . The modified alternating direction preconditioning method for the numerical solution of elliptic self-adjoint partial differential and biharmonic equations . BIT , 9 : 172 – 185 .
  • Evans , D.J. and Missirlis , N.M. 1980 . The preconditioned simultaneous displacement method (PSD method), for elliptic difference equations . MACS , 22 : 256 – 263 .
  • Hageman , L.A. 1972 . The estimation of acceleration parameters for the Chebyshev polynomial and successive overrelaxation interation methods , 1038
  • Missirlis , N.M. 1978 . “ Preconditioned iterative methods for solving elliptic partial differential equations ” . In Ph.D. Thesis , Vol. 1038 , Loughborough : Loughborough Unversity .
  • Missirlis , N.M. and Evans , D.J. 1981 . On the convergence of some generalised preconditioned iterative methods . SIAM J. Numer. Anal , 18 : 591 – 596 .
  • Missirlis , N.M. and Evans , D.J. The extrapolated successive overrelaxation method(ESOR method) for consistently ordered method
  • Missirlis , N.M. and Evans , D.J. 1981 . On the acceleration of the proconditioned simultaneous displacement method . MACS , 23 : 191 – 198 .
  • Wachspress , E.L. 1966 . Iterative solution of elliptic systems and applications to the neutron diffusion equations of reactor physics , New Jersey : Prentice-Hall, Englewood Cliffs .
  • Young , D.M. 1971 . Iterative solution of large linear systems , New York : Academic Press .
  • Young , D.M. 1974 . “ Iterative solution of linear and non-linear systems derived from elliptic partial differential equations ” . In Center if Numerical Analysis , Austin, Texas : Unversity of Texas .

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