20 citations · 73 across the 7 of their papers we have counts for
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math.NA2021★ 7 cited
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…
math-ph2021★ 11 cited
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…