Vladimir A. Dorodnitsyn

12 papers Journal 12
YearRankTypeTitle / Venue / Authors
2025 J jnl
Symmetry-Preserving Finite-Difference Schemes and Auto-Bäcklund Transformations for the Schwarz Equation.
CoRR
Evgenii I. Kaptsov, Vladimir A. Dorodnitsyn
2023 J jnl
Invariant Finite-Difference Schemes for Cylindrical One-Dimensional MHD Flows with Conservation Laws Preservation.
CoRR
Evgenii I. Kaptsov, Vladimir A. Dorodnitsyn, Sergey V. Meleshko
2023 J jnl
Invariant conservative finite-difference schemes for the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates.
CoRR
Evgenii I. Kaptsov, Vladimir A. Dorodnitsyn
2023 J jnl
Invariant finite-difference schemes for cylindrical one-dimensional MHD flows with conservation laws preservation.
Commun. Nonlinear Sci. Numer. Simul.
Evgenii I. Kaptsov, Vladimir A. Dorodnitsyn, Sergey V. Meleshko
2023 J jnl
Lie group symmetry analysis and invariant difference schemes of the two-dimensional shallow water equations in Lagrangian coordinates.
Commun. Nonlinear Sci. Numer. Simul.
Vladimir A. Dorodnitsyn, Evgenii I. Kaptsov, Sergey V. Meleshko
2021 J jnl
Conservative invariant finite-difference schemes for the modified shallow water equations in Lagrangian coordinates.
CoRR
Vladimir A. Dorodnitsyn, Evgenii I. Kaptsov, Sergey V. Meleshko
2021 J jnl
Invariant finite-difference schemes with conservation laws preservation for one-dimensional MHD equations.
CoRR
Vladimir A. Dorodnitsyn, Evgenii I. Kaptsov
2020 J jnl
Invariant conservative difference schemes for shallow water equations in Eulerian and Lagrangian coordinates.
CoRR
Vladimir A. Dorodnitsyn, Evgenii I. Kaptsov
2020 J jnl
One-dimensional flows of a polytropic gas: Lie group classification, conservation laws, invariant and conservative difference schemes.
CoRR
Vladimir A. Dorodnitsyn, Roman Kozlov, Sergey V. Meleshko
2020 J jnl
Shallow water equations in Lagrangian coordinates: Symmetries, conservation laws and its preservation in difference models.
Commun. Nonlinear Sci. Numer. Simul.
Vladimir A. Dorodnitsyn, Evgenii I. Kaptsov
2019 J jnl
One-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates: Symmetry classification, conservation laws, difference schemes.
Commun. Nonlinear Sci. Numer. Simul.
Vladimir A. Dorodnitsyn, Roman Kozlov, Sergey V. Meleshko
2014 J jnl
An extension of the Noether theorem: Accompanying equations possessing conservation laws.
Commun. Nonlinear Sci. Numer. Simul.
Vladimir A. Dorodnitsyn, Nail H. Ibragimov