Geodesic
Finite-difference scheme for crystal pattern formation in undercooled binary alloys
Matematičeskoe modelirovanie, Tome 12 (2000) no. 12, pp. 11-23.

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A finite difference approximation of equations of a model is given which describes crystal pattern formation during solidification of a binary alloy. A stability of the obtained numerical scheme is investigated and the criterion of von Neumann for a computing stability is defined. A solution of the finite difference equations simulates crystal pattern formation of binary alloys in a wide range of supercoolings. 
@article{MM_2000_12_12_a1,
     author = {P. K. Galenko and M. D. Krivilev},
     title = {Finite-difference scheme for crystal pattern formation in undercooled binary alloys},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {11--23},
     publisher = {mathdoc},
     volume = {12},
     number = {12},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2000_12_12_a1/}
}
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P. K. Galenko; M. D. Krivilev. Finite-difference scheme for crystal pattern formation in undercooled binary alloys. Matematičeskoe modelirovanie, Tome 12 (2000) no. 12, pp. 11-23. http://geodesic.mathdoc.fr/item/MM_2000_12_12_a1/