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ORCIDVladimir A. Dorodnitsyn
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2020 – today
- 2023
[j5]Vladimir A. Dorodnitsyn, Evgenii I. Kaptsov, Sergey V. Meleshko
:
Lie group symmetry analysis and invariant difference schemes of the two-dimensional shallow water equations in Lagrangian coordinates. Commun. Nonlinear Sci. Numer. Simul. 119: 107119 (2023)- [j4]Evgenii I. Kaptsov, Vladimir A. Dorodnitsyn, Sergey V. Meleshko:
Invariant finite-difference schemes for cylindrical one-dimensional MHD flows with conservation laws preservation. Commun. Nonlinear Sci. Numer. Simul. 126: 107514 (2023) - [i6]Evgenii I. Kaptsov, Vladimir A. Dorodnitsyn, Sergey V. Meleshko:
Invariant Finite-Difference Schemes for Cylindrical One-Dimensional MHD Flows with Conservation Laws Preservation. CoRR abs/2302.05280 (2023) - [i5]Evgenii I. Kaptsov, Vladimir A. Dorodnitsyn:
Invariant conservative finite-difference schemes for the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates. CoRR abs/2304.03488 (2023) - 2021
- [i4]Vladimir A. Dorodnitsyn, Evgenii I. Kaptsov, Sergey V. Meleshko:
Conservative invariant finite-difference schemes for the modified shallow water equations in Lagrangian coordinates. CoRR abs/2111.08604 (2021) - [i3]Vladimir A. Dorodnitsyn, Evgenii I. Kaptsov:
Invariant finite-difference schemes with conservation laws preservation for one-dimensional MHD equations. CoRR abs/2112.03118 (2021) - 2020
- [j3]Vladimir A. Dorodnitsyn, Evgenii I. Kaptsov:
Shallow water equations in Lagrangian coordinates: Symmetries, conservation laws and its preservation in difference models. Commun. Nonlinear Sci. Numer. Simul. 89: 105343 (2020) - [i2]Vladimir A. Dorodnitsyn, Evgenii I. Kaptsov:
Invariant conservative difference schemes for shallow water equations in Eulerian and Lagrangian coordinates. CoRR abs/2009.00710 (2020) - [i1]Vladimir A. Dorodnitsyn, Roman Kozlov, Sergey V. Meleshko:
One-dimensional flows of a polytropic gas: Lie group classification, conservation laws, invariant and conservative difference schemes. CoRR abs/2011.14397 (2020)
2010 – 2019
- 2019
- [j2]Vladimir A. Dorodnitsyn, Roman Kozlov, Sergey V. Meleshko:
One-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates: Symmetry classification, conservation laws, difference schemes. Commun. Nonlinear Sci. Numer. Simul. 74: 201-218 (2019) - 2014
- [j1]Vladimir A. Dorodnitsyn, Nail H. Ibragimov:
An extension of the Noether theorem: Accompanying equations possessing conservation laws. Commun. Nonlinear Sci. Numer. Simul. 19(2): 328-336 (2014)
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