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Original Articles

Stability of three‐level difference schemes with respect to the right‐hand sideFootnote1

Pages 243-252 | Received 11 Jan 2004, Published online: 14 Oct 2010

References

  • Bokov , A. 1976 . Energetic inequalities for three‐level difference schemes on grids changing in time . Godishn. Vissh. Uchebni Zabed. Prilozh. Mat , 12 (2) : 87 – 96 .
  • Diakonov , E. and Bokov , A. 1975 . Energetic inequalities for difference schemes on grids changing in time . Dokl. Bolg. AN , 28 (2) : 157 – 160 .
  • Jovanovich , B. , Lemeshevsky , S. and Matus , P. 2002 . On the stability of differential‐operator equations and operator‐difference schemes as t ? 8 . Comput. Meth. Appl. Math , 2 (2) : 153 – 170 .
  • Matus , P. and Zyuzina , E. 2001 . Three‐level difference schemes on nonuniform in time grids . Comput. Meth. Appl. Math , 1 (3) : 265 – 284 .
  • Mazhukin , V. , Matus , P. and Mozolevski , I. 2000 . About stability of three‐level difference schemes on non‐uniform time grids . Dokl. NAN Belarusi , 44 (6) : 23 – 25 .
  • Samarskii , A. 2001 . The Theory of Difference Schemes , New York‐Basel : Marcel Dekker Inc. .
  • Samarskii , A. , Vabishchevich , P. , Makarevich , E. and Matus , P. 2001 . Stability of three‐level difference schemes on non‐uniform in time grids . Dokl. Russ. Acad. Nauk , 376 (6) : 738 – 741 .
  • Samarskii , A. , Vabishchevich , P. and Matus , P. 2002 . Difference Schemes with Operator Factors , Boston/Dordrecht/London : Kluwer Academic Publishers .
  • Samarskii , A. A. and Goolin , A. V. 1973 . Stability of Difference Schemes Nauka, Moskow (in Russian)
  • The author wish to thank Prof. P. Matus for the statement of the problem and useful comments

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