66 citations · 304 across the 25 of their papers we have counts for
11 papers · 1 filter
Delay ordinary differential equations: from Lagrangian approach to Hamiltonian approach
Vladimir Dorodnitsyn, Roman Kozlov, Sergey Meleshko
The paper suggests a Hamiltonian formulation for delay ordinary differential equations (DODEs). Such equations are related to DODEs with a Lagrangian formulation via a delay analog…
Lagrangian formalism and Noether-type theorems for second-order delay ODEs
Vladimir A. Dorodnitsyn, Roman V. Kozlov, Sergey V. Meleshko
The Lagrangian formalism for variational problem for second-order delay ordinary differential equations (DODEs) is developed. The Noether-type operator identities and theorems for…
Plane one-dimensional MHD flows: symmetries and conservation laws
Vladimir A. Dorodnitsyn, Evgeniy I. Kaptsov, Roman V. Kozlov +2
The paper considers the plane one-dimensional flows for magnetohydrodynamics in the mass Lagrangian coordinates. The inviscid, thermally non-conducting medium is modeled by a polyt…
One-dimensional flows of a polytropic gas: Lie group classification, conservation laws, invariant and conservative difference schemes
Vladimir A. Dorodnitsyn, Roman Kozlov, Sergey V. Meleshko
The paper considers one-dimensional flows of a polytropic gas in the Lagrangian coordinates in three cases: plain one-dimensional flows, radially symmetric flows and spherically sy…
Invariant Conservation Law-Preserving Discretizations of Linear and Nonlinear Wave Equations
A. F. Cheviakov, V. A. Dorodnitsyn, E. I. Kaptsov
Symmetry- and conservation law-preserving finite difference discretizations are obtained for linear and nonlinear one-dimensional wave equations on five- and nine-point stencils, u…
Shallow water equations in Lagrangian coordinates: symmetries, conservation laws and its preservation in difference models
V. A. Dorodnitsyn, E. I. Kaptsov
The one-dimensional shallow water equations in Eulerian and Lagrangian coordinates are considered. It is shown the relationship between symmetries and conservation laws in Lagrangi…