Invariant conservative finite-difference schemes for the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates

Autor: E. I. Kaptsov, V. A. Dorodnitsyn

Publikováno v: Open Communications in Nonlinear Mathematical Physics, Vol Special Issue in Memory of... (2024)

Invariant finite-difference schemes for the one-dimensional shallow water equations in the presence of a magnetic field for various bottom topographies are constructed. Based on the results of the group classification recently carried out by the auth

Externí odkaz: https://doaj.org/article/25d093a6e8864d638463eca85a7e8600

One-Dimensional Flows of a Polytropic Gas: Lie Group Classification, Conservation Laws, Invariant and Conservative Difference Schemes

Autor: V. A. Dorodnitsyn, R. Kozlov, S. V. Meleshko

Publikováno v: Nonlinear Physical Science ISBN: 9789811646829

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e29864dbf1f82fa8ab323f502edb3ec9
https://doi.org/10.1007/978-981-16-4683-6_2

Discretization of second-order ordinary differential equations with symmetries

Autor: V. A. Dorodnitsyn, E. I. Kaptsov

Publikováno v: Computational Mathematics and Mathematical Physics. 53:1153-1178

A number of publications (indicated in the Introduction) are overviewed that address the group properties, first integrals, and integrability of difference equations and meshes approximating second-order ordinary differential equations with symmetrie

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::15aff8291c34383dd06b3af46d669bc2
https://doi.org/10.1134/s0965542513080058

D

Autor: A. G. El’kin, M. G. M. van Doorn, A. K. Gushchin, L. D. Kudryavtsev, V. V. Rumyantsev, V. I. Sobolev, B. A. Efimov, N. Kh. Rozov, V. T. Bazylev, I. A. Kvasnikov, B. I. Golubov, A. A. Konyushkov, L. N. Eshukov, P. P. Korovkin, A. V. Efimov, A. A. Zakharov, S. M. Vorazhin, Yu. N. Subbotin, A. L. Onishchik, D. P. Kostomarov, N. M. Nagornyĭ, V. E. Plisko, N. M. Khalfina, S. A. Stepanov, M. S. Nikulin, S. I. Adyan, P. S. Soltan, A. V. Zabrodin, L. A. Bokut’, S. Yu. Maslov, G. E. Mints, E. M. Chirka, M. V. Fedoryuk, N. K. Nikol’skiĭ, B. S. Pavlov, A. L. Shmel’kin, A. V. Arkhangel’skiĭ, A. B. Bakushinskiĭ, D. A. Ponomarev, I. V. Dolgachev, A. A. Boyarkin, A. V. Mikhalev, M. I. Voĭtsekhovskiĭ, A. V. Prokhorov, L. E. Reĭzin’, A. M. Il’in, G. N. Dyubin, D. P. Zhelobenko, V. P. Chistyakov, A. V. Khokhlov, V. A. Dushskiĭ, M. Sh. Farber, E. D. Solomentsev, V. D. Kukin, A. A. Mal’tsev, M. A. Shtan’ko, T. P. Lukashenko, Rédigé Par C. Mayer, E. M. Nikishin, B. M. Bredikhin, R. A. Minlos, N. G. Ushakov, V. A. Skvortsov, V. E. Tarakanov, V. I. Danilov, G. P. Tolstov, D. V. Anosov, S. N. Artemov, L. A. Skornyakov, E. V. Shikin, I. V. Proskuryakov, Yu. A. Kuznetsov, A. B. Ivanov, V. I. Ponomarev, A. V. Chernavskiĭ, D. A. Suprunenko, V. I. Nechaev, Yu. I. Merzlyakov, O. A. Ivanova, V. V. Fedorchuk, V. L. Popov, N. A. Karpova, R. A. Prokhorova, M. M. Potapov, V. D. Mazurov, Yu. B. Rudyak, A. V. Gulin, A. A. Samarskiĭ, N. S. Bakhvalov, L. A. Oganesyan, Yu. M. Davydov, V. E. Tarankanov, A. B. Vasil’eva, E. V. Pankrat’ev, R. L. Dobrushin, V. V. Prelov, A. A. Dezin, E. F. Mishchenko, A. V. Bitsadze, I. N. Vekua, A. M. Nakhushev, I. A. Shishmarev, E. I. Moiseev, V. D. Kupradze, F. P. Vasil’ev, N. N. Kuznetsov, B. L. Rozhdestvenskiĭ, I. P. Makarov, S. S. Gaĭsaryan, A. D. Myshkis, M. S. Nikol’skiĭ, A. I. Subbotin, Ü. Lumiste, A. V. Pogorelov, D. V. Alekseevskiĭ, A. F. Filippov, V. I. Shulikovskiĭ, A. I. Shtern, S. P. Novikov, V. A. Morozov, O. G. Smolyanov, V. M. Tikhomirov, V. M. Babich, V. A. Chuyanov, L. I. Kamynin, Yu. A. Rozanov, V. A. Iskovskikh, B. A. Pasynkov, P. S. Aleksandrov, L. I. Sedov, D. D. Sokolov, V. G. Sprindzhuk, S. M. Voronin, Yu. V. Matiyasevich, A. N. Parshin, V. G. Krechet, M. Sh. Tsalenko, A. I. Loginov, A. F. Lavrik, L. N. Bol’shev, A. Yanushauskas, A. F. Leont’ev, E. A. Bredikhina, I. B. Vapnyarskiĭ, V. M. Solodov, V. B. Kudryavtsev, E. B. Vinberg, A. P. Terekhin, Yu. I. Zhuravlev, G. A. Sardanashvili, S. M. Sirota, E. G. D’yakonov, E. N. Kuz’min, N. M. Mitrofanova, A. P. Khusu, S. K. Sobolev, V. N. Tutubalin, V. S. Vladimirov, V. A. Dorodnitsyn, I. S. Iokhvidov, K. S. Swirskiĭ, E. G. Goluzina, Yu. V. Prokhorov, V. V. Sazonov, V. D. Belousov, D. M. Smirnov, L. P. Kuptsov, I. I. Volkov, L. V. Kuz’min, M. Shirinbekov, V. N. Grishin, I. N. Vrublevskaya, M. M. Popov, F. A. Kabakov, A. F. Shapkin, V. K. Domanskiĭ, G. S. Chogoshvili, V. P. Palamodov, A. I. Markusevich, S. Ya. Khavinson, A. I. Kostrikin, A. S. Parkhomenko, M. I. Voĭsekhovskiĭ, T. S. Fofanova, W. Glagolev, E. G. Sklyarenko, A. A. Kirillov, K. Bulota, E. B. Yanovskaya, I. Kh. Sabitov, E. G. Sobolevskaya, L. A. Molotkov, S. A. Ashmanov, V. G. Karmanov, E. N. Berezkin, A. V. Lykov

Publikováno v: Encyclopaedia of Mathematics ISBN: 9780792329749

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cf855d54672932a7a08af396c3a6daf4
https://doi.org/10.1007/978-1-4899-3795-7_2

A quasilinear heat equation with a source: Peaking, localization, symmetry exact solutions, asymptotics, structures

Autor: S. P. Kurdyumov, G. G. Elenin, A. A. Samarskii, V. A. Galaktionov, V. A. Dorodnitsyn

Publikováno v: Journal of Soviet Mathematics. 41:1222-1292

A survey is given of results of investigating unbounded solutions (regimes with peaking) of quasilinear parabolic equations of nonlinear heat conduction with a source. Principal attention is devoted to the investigation of the property of localizatio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::638e1704fd7e72e6debbc1bbc24011c8
https://doi.org/10.1007/bf01098785