63 citations · 70 across the 5 of their papers we have counts for
5 papers
Learning vertical coordinates via automatic differentiation of a dynamical core
Tim Whittaker, Seth Taylor, Elsa Cardoso-Bihlo +2
Terrain-following coordinates in atmospheric models often imprint their grid structure onto the solution, particularly over steep topography, where distorted coordinate layers can…
Surprising symmetry properties and exact solutions of Kolmogorov backward equations with power diffusivity
Serhii D. Koval, Elsa Dos Santos Cardoso-Bihlo, Roman O. Popovych
Using the original advanced version of the direct method, we efficiently compute the equivalence groupoids and equivalence groups of two peculiar classes of Kolmogorov backward equ…
Invariant parameterization of geostrophic eddies in the ocean
Alexander Bihlo, Elsa Dos Santos Cardoso-Bihlo, Roman O. Popovych
The framework of invariant parameterization is extended to higher-order closure schemes. We also define, for the first time, generalized invariant parameterization schemes, where s…
On the ineffectiveness of constant rotation in the primitive equations and their symmetry analysis
Elsa Dos Santos Cardoso-Bihlo, Roman O. Popovych
Modern weather and climate prediction models are based on a system of nonlinear partial differential equations called the primitive equations. Lie symmetries of the primitive equat…
Complete group classification of a class of nonlinear wave equations
Alexander Bihlo, Elsa Dos Santos Cardoso-Bihlo, Roman O. Popovych
Preliminary group classification became prominent as an approach to symmetry analysis of differential equations due to the paper by Ibragimov, Torrisi and Valenti [J. Math. Phys. 3…