143 citations · 757 across the 54 of their papers we have counts for
4 papers · 2 filters
Enhanced preliminary group classification of a class of generalized diffusion equations
Elsa Dos Santos Cardoso-Bihlo, Alexander Bihlo, Roman O. Popovych
The method of preliminary group classification is rigorously defined, enhanced and related to the theory of group classification of differential equations. Typical weaknesses in pa…
Symmetry preserving parameterization schemes
Roman O. Popovych, Alexander Bihlo
Methods for the design of physical parameterization schemes that possess certain invariance properties are discussed. These methods are based on different techniques of group class…
Lie symmetry analysis and exact solutions of the quasi-geostrophic two-layer problem
Alexander Bihlo, Roman O. Popovych
The quasi-geostrophic two-layer model is of superior interest in dynamic meteorology since it is one of the easiest ways to study baroclinic processes in geophysical fluid dynamics…
Point symmetry group of the barotropic vorticity equation
Alexander Bihlo, Roman O. Popovych
The complete point symmetry group of the barotropic vorticity equation on the -plane is computed using the direct method supplemented with two different techniques. The first te…