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@article{MM_2012_24_12_a20, author = {M. E. Ladonkina and O. A. Neklyudova and V. F. Tishkin}, title = {Research of the impact of different limiting functions on the order of solution obtained by {RKDG}}, journal = {Matemati\v{c}eskoe modelirovanie}, pages = {124--128}, publisher = {mathdoc}, volume = {24}, number = {12}, year = {2012}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MM_2012_24_12_a20/} }
TY - JOUR AU - M. E. Ladonkina AU - O. A. Neklyudova AU - V. F. Tishkin TI - Research of the impact of different limiting functions on the order of solution obtained by RKDG JO - Matematičeskoe modelirovanie PY - 2012 SP - 124 EP - 128 VL - 24 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MM_2012_24_12_a20/ LA - ru ID - MM_2012_24_12_a20 ER -
%0 Journal Article %A M. E. Ladonkina %A O. A. Neklyudova %A V. F. Tishkin %T Research of the impact of different limiting functions on the order of solution obtained by RKDG %J Matematičeskoe modelirovanie %D 2012 %P 124-128 %V 24 %N 12 %I mathdoc %U http://geodesic.mathdoc.fr/item/MM_2012_24_12_a20/ %G ru %F MM_2012_24_12_a20
M. E. Ladonkina; O. A. Neklyudova; V. F. Tishkin. Research of the impact of different limiting functions on the order of solution obtained by RKDG. Matematičeskoe modelirovanie, Tome 24 (2012) no. 12, pp. 124-128. http://geodesic.mathdoc.fr/item/MM_2012_24_12_a20/
[1] Bernardo Cockburn, “An Introduction to the Discontinuous Galerkin Method for Convection”, Dominated Problems, Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, Lecture Notes in Mathematics, 1697, 1998, 151–268 | DOI | MR | Zbl
[2] Rusanov V. V., “Raschet vzaimodeistviya nestatsionarnykh udarnykh voln s prepyatstviyami”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 1:2 (1961), 267–279 | MR
[3] Lax P. D., “Weak solutions of nonlinear hyperbolic equations and their numerical computation”, Communications on Pure and Applied Mathematics, 7:1 (1954), 159–193 | DOI | MR | Zbl
[4] Galanin M. P., Savenkov E. B., Tokareva S. A., Primenenie razryvnogo metoda Galerkina dlya chislennogo resheniya kvazilineinogo uravneniya perenosa, Preprint No 105, IPM im. M. V. Keldysha RAN, M., 2005 | MR
[5] Krivodonova Lilia, “Limiters for high-order discontinuous Galerkin methods”, Journal of Computational Physics, 226 (2007), 879–896 | DOI | MR | Zbl
[6] Kolgan V. P., “Primenenie printsipa minimalnykh znachenii proizvodnoi k postroeniyu konechno-raznostnykh skhem dlya rascheta razryvnykh reshenii gazovoi dinamiki”, Uchenye zapiski TsAGI, 3:6 (1972), 68–77
[7] Landau L. D., Lifshits E. M., Teoreticheskaya fizika, v. VI, Gidrodinamika, Fizmatlit, M., 2001
[8] Uizem Dzh., Lineinye i nelineinye volny, Mir, M., 1977 | MR
[9] Ladonkina M. E., Neklyudova O. A., Tishkin V. F., Issledovanie vliyaniya limitera na poryadok tochnosti resheniya razryvnym metodom Galerkina, Pr-t IPM im. M. V. Keldysha RAN, No 34, 2012