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Evgeniy I. Kaptsov

Observed names: E I Kaptsov, E Kaptsov, E. I. Kaptsov, E.I. Kaptsov, E.I. Kaptsov,, Evgenii I. Kaptsov, Evgenii Igorevich Kaptsov, Evgeniy Kaptsov, Evgeny Igorevich Kaptsov, Kaptsov, E., Kaptsov, E. I., Е. И. Капцов, Е.И. КАПЦОВ
ORCID: 0000-0001-7984-4238
Observed ORCID: 0000-0001-7984-4238
OpenAlex ID: A5077475660
Shallow water equations in Lagrangian coordinates: Symmetries, conservation laws and its preservation in difference models
2020 · V.A. Dorodnitsyn, E.I. Kaptsov · Communications in Nonlinear Science and Numerical Simulation · 29
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Invariant conservation law-preserving discretizations of linear and nonlinear wave equations
2020 · A. F. Cheviakov, V. A. Dorodnitsyn, et al. · Journal of Mathematical Physics · 24
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Analysis of the one-dimensional Euler–Lagrange equation of continuum mechanics with a Lagrangian of a special form
2019 · E.I. Kaptsov, S.V. Meleshko · Applied Mathematical Modelling · 23
The adjoint equation method for constructing first integrals of difference equations
2015 · V Dorodnitsyn, E Kaptsov, et al. · Journal of Physics A Mathematical and Theoretical · 23
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Conservation laws of the two-dimensional gas dynamics equations
2019 · E.I. Kaptsov, S.V. Meleshko · International Journal of Non-Linear Mechanics · 21
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One-dimensional MHD flows with cylindrical symmetry: Lie symmetries and conservation laws
2022 · Vladimir A. Dorodnitsyn, Evgeniy I. Kaptsov, et al. · International Journal of Non-Linear Mechanics · 19
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Discrete shallow water equations preserving symmetries and conservation laws
2021 · V. A. Dorodnitsyn, E. I. Kaptsov · Journal of Mathematical Physics · 16
Symmetries, Conservation Laws, Invariant Solutions and Difference Schemes of the One-dimensional Green-Naghdi Equations
2020 · V.A. Dorodnitsyn, E.I. Kaptsov, et al. · Journal of Nonlinear Mathematical Physics · 13
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Lie Group Symmetry Analysis and Invariant Difference Schemes of the Two-Dimensional Shallow Water Equations in Lagrangian Coordinates
2022 · V.A. Dorodnitsyn, E.I. Kaptsov, et al. · Communications in Nonlinear Science and Numerical Simulation · 11
First integrals of difference equations which do not possess a variational formulation
2014 · P. Winternitz, V. A. Dorodnitsyn, et al. · Doklady Mathematics · 11
Plane one-dimensional MHD flows: Symmetries and conservation laws
2021 · Vladimir A. Dorodnitsyn, Evgeniy I. Kaptsov, et al. · International Journal of Non-Linear Mechanics · 10
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Discretization of second-order ordinary differential equations with symmetries
2013 · V. A. Dorodnitsyn, E. I. Kaptsov · Computational Mathematics and Mathematical Physics · 10
Symmetry Analysis of the Two-Dimensional Stationary Gas Dynamics Equations in Lagrangian Coordinates
2024 · Sergey V. Meleshko, Evgeniy I. Kaptsov · Mathematics · 9
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Conservative invariant finite‐difference schemes for the modified shallow water equations in Lagrangian coordinates
2022 · Evgeniy I. Kaptsov, Vladimir A. Dorodnitsyn, et al. · Studies in Applied Mathematics · 9
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The one-dimensional Green–Naghdi equations with a time dependent bottom topography and their conservation laws
2020 · E. I. Kaptsov, S. V. Meleshko, et al. · Physics of Fluids · 9
Symmetry Analysis of the Two‐Dimensional Stationary Magnetogasdynamics Equations With Coriolis Force in Lagrangian Coordinates
2025 · E. I. Kaptsov, S. V. Meleshko · Studies in Applied Mathematics · 5
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Group classification of the two‐dimensional magnetogasdynamics equations in Lagrangian coordinates
2023 · Sergey V. Meleshko, Evgenii I. Kaptsov, et al. · Mathematical Methods in the Applied Sciences · 5
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Invariant Finite-Difference Schemes for Plane One-Dimensional MHD Flows That Preserve Conservation Laws
2022 · Vladimir Dorodnitsyn, Evgeniy Kaptsov · Mathematics · 5
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Noether’s theorems and conservation laws in magnetohydrodynamics and Chew–Goldberger–Low plasmas
2024 · Gary M. Webb, Stephen C. Anco, et al. · Reviews of Modern Plasma Physics · 4
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Invariant finite-difference schemes for cylindrical one-dimensional MHD flows with conservation laws preservation
2023 · E.I. Kaptsov, V.A. Dorodnitsyn, et al. · Communications in Nonlinear Science and Numerical Simulation · 4
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Symmetries and conservation laws of the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates
2022 · E I Kaptsov, S V Meleshko, et al. · Journal of Physics A Mathematical and Theoretical · 4
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Invariant conservative difference schemes for shallow water equations in Eulerian and Lagrangian coordinates
2020 · Dorodnitsyn, V. A., Kaptsov, E. I. · arXiv (Cornell University) · 4
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Numerical implementation of an invariant scheme for one-dimensional shallow water equations in Lagrangian coordinates
2019 · Evgenii Igorevich Kaptsov · Keldysh Institute Preprints · 4
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Invariant difference schemes for the Ermakov system
2016 · V. A. Dorodnitsyn, E. I. Kaptsov · Differential Equations · 4
One class of MHD equations: Conservation laws and exact solutions
2023 · E. I. Kaptsov, S. V. Meleshko · Studies in Applied Mathematics · 3
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Works count: 47
Citation count: 297
H-index: 10
I10-index: 12
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