143 citations · 757 across the 54 of their papers we have counts for
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Symmetry analysis of a system of modified shallow-water equations
Simon Szatmari, Alexander Bihlo
We revise the symmetry analysis of a modified system of one-dimensional shallow-water equations (MSWE) recently considered by Raja Sekhar and Sharma [Commun. Nonlinear Sci. Numer.…
Invariant meshless discretization schemes
Alexander Bihlo
A method is introduced for the construction of meshless discretization schemes which preserve Lie symmetries of the differential equations that these schemes approximate. The metho…
Conservative parameterization schemes
Alexander Bihlo, George Bluman
Parameterization (closure) schemes in numerical weather and climate prediction models account for the effects of physical processes that cannot be resolved explicitly by these mode…
Invariant discretization schemes for the shallow-water equations
Alexander Bihlo, Roman O. Popovych
Invariant discretization schemes are derived for the one- and two-dimensional shallow-water equations with periodic boundary conditions. While originally designed for constructing…