Geodesic
Method of particles with weights for Burgers equation
Matematičeskoe modelirovanie, Tome 6 (1994) no. 5, pp. 77-82.

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Quasilinear ID transfer equation with and without viscosity is solved numerically by particle method which permited to overcome naturally the problem of discontinuous solutions. The “weight” modification raises efficiency of the method. 
@article{MM_1994_6_5_a5,
     author = {S. V. Bogomolov},
     title = {Method of particles with weights for {Burgers} equation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {77--82},
     publisher = {mathdoc},
     volume = {6},
     number = {5},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1994_6_5_a5/}
}
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S. V. Bogomolov. Method of particles with weights for Burgers equation. Matematičeskoe modelirovanie, Tome 6 (1994) no. 5, pp. 77-82. http://geodesic.mathdoc.fr/item/MM_1994_6_5_a5/