Geodesic
To consistency of a non-smoothing particle method
Matematičeskoe modelirovanie, Tome 16 (2004) no. 7, pp. 92-100

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An approach to a substantiation of particle method variant which, first, smoothes a discontinuous solution over one mesh and, second, regularizes an original task, as an “entropy” condition does, is discussed. 
@article{MM_2004_16_7_a9,
     author = {S. V. Bogomolov},
     title = {To consistency of a non-smoothing particle method},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {92--100},
     publisher = {mathdoc},
     volume = {16},
     number = {7},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2004_16_7_a9/}
}
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S. V. Bogomolov. To consistency of a non-smoothing particle method. Matematičeskoe modelirovanie, Tome 16 (2004) no. 7, pp. 92-100. http://geodesic.mathdoc.fr/item/MM_2004_16_7_a9/