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Original Articles

On uniform in time error estimates for investigation of nonlinear difference schemes

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Pages 48-60 | Published online: 14 Oct 2010

References

  • Čiegis , Raim. , Čiegis , Rem. and Meilūnas , M. 1996 . On one general method for the investigation of difference schemes . Lith. Math. J. , 36 : 224 – 241 .
  • Čiegis , Raim. , Čiegis , Rem. and Štikoniene , O. 1997 . On the extension of one method for investigation of nonlinear difference schemes . Lith. Math. J. , 37 : 000 – 000 .
  • Larsson , S. 1989 . The long‐time behavior of finite‐element approximations of solutions to semilinear parabolic problems . SIAM J. Numer. Anal. , 26 : 348 – 365 .
  • Sanz‐Serna , J.M. and Stuart , A.M. 1992 . A note on uniform in time error estimates for approximations to reaction‐diffusion equations . IMA Journal of Numer. Anal. , 12 : 457 – 462 .
  • Larsson , S. and Sanz‐Serna , J.M. 1994 . The behavior of finite element solutions of semi‐linear parabolic problems near stationary points . SIAM J. Numer. Anal. , 31 : 1000 – 1018 .
  • Samarskij , A.A. 1986 . The theory of difference schemes Nauka, Moscow
  • Ladyzhenskaya , O.L. 1973 . “ Boundary value problems of mathematical physics ” . Nauka, Moscow

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