Geodesic
Balance\ finite difference schemes for the equations of the parabolic type
Matematičeskoe modelirovanie, Tome 32 (2020) no. 4, pp. 94-106

Voir la notice de l'article provenant de la source Math-Net.Ru

A new numerical algorithm for solving parabolic equations by means of balance difference schemes is proposed. The balance schemes are combining the advantages of conservative and characteristic schemes. The main advantage of the new algorithm is that it is explicit and is implemented on the most compact computational template in one space-time computational cell. It scales perfectly and is extremely economical in software systems that implement the CABARET scheme because it uses the existing data structure there.
Mots-clés : parabolic type equations, CABARET scheme.
Keywords: balance&characteristic difference schemes, hyperbolization 
@article{MM_2020_32_4_a6,
     author = {V. Y. Glotov and V. M. Goloviznin and B. N. Chetverushkin},
     title = {Balance\&characteristic finite difference schemes for the equations of the parabolic type},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {94--106},
     publisher = {mathdoc},
     volume = {32},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2020_32_4_a6/}
}
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V. Y. Glotov; V. M. Goloviznin; B. N. Chetverushkin. Balance\&characteristic finite difference schemes for the equations of the parabolic type. Matematičeskoe modelirovanie, Tome 32 (2020) no. 4, pp. 94-106. http://geodesic.mathdoc.fr/item/MM_2020_32_4_a6/