66 citations · 304 across the 25 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.NA2021★ 9 cited
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…