66 citations · 304 across the 25 of their papers we have counts for
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math-ph2020★ 4 cited
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…
math-ph2020★ 2 cited
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…