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Original Articles

Stability analysis of seidel type multicomponent iterative method

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Pages 1-10 | Received 19 Jan 2002, Published online: 14 Oct 2010

References

  • Abrashin , V. , Čiegis , R. and Pakalnyte , V. Proc. of the 3rd International Conference FDS2000, September 1–4, 2000 . Finite difference schemes: theory and applications . Palanga, Lithuania. Spectral stability analysis of one splitting iterative scheme , Edited by: Samarskii , A. , Čiegis , R. and Sapagovas , M. pp. 1 – 10 . Vilnius : IMI .
  • Abrashin , V.N. 1999 . On the stability of multicomponent additive direction method . Differ‐entsialnyje uravnenyja , 35 : 212 – 224 . (in Russian)
  • Aleinikova , T.G. and Ciegis , R. 1993 . Investigation of new iterative methods for solving multidimensional elliptic problems . Differentsialnyje uravnenyja , 29 : 1124 – 1129 . (in Russian)
  • Čiegis , R. and Pakalnyte , V. 2001 . Spectral convergence analysis of multicomponent iterative methods . Differential Equations , 37 (7) : 982 – 986 .
  • Marchuk , G.I. 1988 . Splitting methods , Moscow : Nauka . (in Russian)
  • Peaceman , D. and Rachford , H. 1955 . The numerical solution of parabolic and elliptic differential equations . SIAM , 3 (1)
  • Samarskii , A.A. and Nikolajev , E.S. 1978 . Methods for solving difference equations , Moscow : Nauka . (in Russian)
  • Samarskii , A.A. and Vabishchevich , P.N. 1999 . Additive schemes for problems of mathematical physics , Moscow : Nauka . (in Russian)
  • Thomas , J.W. 1995 . Numerical Partial Differential Equations. Texts in Applied Mathematics , volume 22. , New York, Berlin, Heidelberg : Springer .

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