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Original Articles

The maximum principle and its application for the analysis of difference schemes

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Pages 289-299 | Received 07 Sep 2001, Published online: 14 Oct 2010

References

  • Ćiegis , R. 1998 . A stability analysis of red‐black schemes for parabolic differential problems . Proc. of the 2nd Int. Conf. FDM‐S . July 6–9 1998 , Minsk, Belarus. pp. 85 – 99 . Finite Difference Methods: Theory and Applications, 1998 (1)
  • Gulin , A. and Samarskii , A. 1993 . On stability of one class of difference schemes . Differents. Urav‐nenia , 29 (7) : 1163 – 1174 . (in Russian)
  • Lapin , A. and Matus , P. 1998 . Conservative explicit‐implicit schemes . Proc. of the 2nd Int. Conf. FDM‐S . July 6–9 1998 , Minsk, Belarus. pp. 86 – 112 . Finite Difference Methods: Theory and Applications, 1998 (2)
  • Lapin , A. , Matus , P. and Mikhiliouk , I. 1999 . Conservative explicit‐implicit schemes for parabolic equations . Shorn. “Issledovaniya po Prikladnoi Matematike” , 21 : 170 – 187 . (in Russian)
  • Matus , P. and Jovanović , B. 2001 . Strong stability of differential‐operator equations and operator‐difference schemes in time‐integral norms . Differents. Uravnenia , 37 (7) (in Russian)
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  • Samarskii , A. and Gulin , A. 1989 . Numerical Methods , Moscow : Nauka . (in Russian)
  • Samarskii , A. , Gulin , A. and Matus , P. 2000 . Sufficient conditions for coefficient stability of operator‐difference schemes . Dokl. RAN , 373 (3) : 304 – 306 . (in Russian)
  • Samarskii , A. , Mazhukin , V. , Malafei , D. and Matus , P. 2001 . Difference schemes on nonuniform grids for equations of mathematical physics with variable coefficients . Zh. Vychisl. Mat. Mat. Fix. , 38 (3) : 413 – 424 . (in Russian)
  • Samarskii , A. , Vabishchevich , P. and Matus , P. 1997 . Strong stability of differential‐operator and operator‐difference schemes . Dokl. RAN , 356 (4) : 455 – 457 . (in Russian)
  • Samarskii , A. , Vabishchevich , P. and Matus , P. 1998 . Difference Schemes with Operator Factors , Minsk : TSOTZH . (in Russian)

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