Geodesic
Error estimates for finite volume scheme for Perona-Malik equation
Acta mathematica Universitatis Comenianae, Tome 74 (2005) no. 1 
A. Handlovicova; Z. Kriva. Error estimates for finite volume scheme for Perona-Malik equation. Acta mathematica Universitatis Comenianae, Tome 74 (2005) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2005_74_1_a7/
@article{AMUC_2005_74_1_a7,
     author = {A. Handlovicova and Z. Kriva},
     title = {Error estimates for finite volume scheme for {Perona-Malik} equation},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2005},
     volume = {74},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2005_74_1_a7/}
}
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Voir la notice de l'article provenant de la source Comenius University

We present Perona-Malik nonlinear image selective smoothing equation (modified in the sense of Catt\'e, Lions, Morel and Coll) which is investigated esspecially from numerical point of wiev. Error estimates in $L_{2}$ norms for fully discrete numerical finite volume scheme are derived and proved. Some numerical examples are presented.