66 citations · 304 across the 25 of their papers we have counts for
3 papers · 1 filter
Invariant finite-difference schemes with conservation laws preservation for one-dimensional MHD equations
E. I. Kaptsov, V. A. Dorodnitsyn
Invariant finite-difference schemes are considered for one-dimensional magnetohydrodynamics (MHD) equations in mass Lagrangian coordinates for the cases of finite and infinite cond…
Conservative invariant finite-difference schemes for the modified shallow water equations in Lagrangian coordinates
V. A. Dorodnitsyn, E. I. Kaptsov, S. V. Meleshko
The one-dimensional modified shallow water equations in Lagrangian coordinates are considered. It is shown the relationship between symmetries and conservation laws in Lagrangian c…
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…