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Original Articles

Perona‐Malik equation ‐ error estimates for explicit finite volume scheme

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Pages 353-366 | Received 25 Apr 2005, Published online: 14 Oct 2010

References

  • Kriv , Z. 2005 . Explicit FV scheme for the Perona‐Malik equation . Comput. Methods in Appl. Math , 5 (2) : 170 – 200 .
  • Handlovičov , A. and Kriv , Z. 2005 . Error estimates for finite volume scheme for Perona‐Malik equation . Acta Math. Unic. Comenianae , 1 : 70 – 94 .
  • Catt , F. , Lions , P.L. , Morel , J.M. and Coll , T. 1992 . Image selective smoothing and edge detection by nonlinear diffusion . SIAMJ.Numer. Anal , 29 (1) : 182 – 193 .
  • Eymard , R. , Gallouet , T. and Herbin , R. 2000 . Finite Volume Methods in Handbook of Numerical Analysis 7. Ph. Ciarlet , Edited by: Lions , J.L. Elsevier .
  • Mikula , K. and Ramarosy , N. 2001 . Semi‐implicit finite volume scheme for solving nonlinear diffusion equations in image processing . Numerische Mathematik , 89 (3) : 561 – 590 .
  • Ladyženskaja , O. A. , Solonnikov , V. and UraIceva , N.N. 1967 . Linear and quasilinear equations of parabolic type , Moskva : Nauka . (in Russian)

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