Recent preprints
- A. Bihlo and J.-C. Nave, 2013. Convecting reference frames and invariant numerical models. Submitted to J. Comput. Phys., arXiv:1301.5955, 10 pp.
- S. Szatmari and A. Bihlo, 2012. Symmetry analysis of a system of modified shallow-water equations. Submitted to Commun. Nonlinear Sci. Numer. Simul., arXiv:1212.5823, 10 pp.
- A. Bihlo and J.-C. Nave, 2012. Invariant discretization schemes for the heat equation. Submitted to SIGMA, arXiv:1209.5028, 21 pp.
- A. Bihlo and G. Bluman, 2012. Conservative parameterization schemes. Submitted to J. Math. Phys., arXiv:1209.4279, 25 pp.
- A. Bihlo, E.M. Dos Santos Cardoso–Bihlo and R.O. Popovych, 2012. Invariant parameterization and turbulence modeling on the beta-plane. Submitted to Physica D, arXiv:1112.1917, 25 pp.
Peer-reviewed articles
- A. Bihlo, 2013. Invariant meshless discretization schemes. J. Phys. A: Math. Theor. 46 (6), 062001 (12 pp), arXiv:1210.2762.
- A. Bihlo, E.M. Dos Santos Cardoso–Bihlo and R.O. Popovych, 2012. Complete group classification of a class of nonlinear wave equations. J. Math. Phys. 53 (12), 123515, 32 pp, arXiv:1106.4801.
- A. Bihlo and R.O. Popovych, 2012. Invariant discretization schemes for the shallow-water equations. SIAM J. Sci. Comput. 34 (6), B810-B839, arXiv:1201.0498.
- R.O. Popovych and A. Bihlo, 2012. Symmetry preserving parameterization schemes. J. Math. Phys. 53 (7), 073102, 36 pp, arXiv:1010.3010.
- A. Bihlo and R.O. Popovych, 2012. Lie reduction and exact solutions of the vorticity equation on the rotating sphere. Phys. Lett. A 376 (14), 1179–1184, arXiv:1112.3019.
- A. Bihlo and R.O. Popovych, 2011. Lie symmetry analysis and exact solutions of the quasi-geostrophic two-layer problem. J. Math. Phys. 52 (3), 033103, 24 pp, arXiv:1010.1542.
- E.M. Dos Santos Cardoso–Bihlo, A. Bihlo and R.O. Popovych, 2011. Enhanced preliminary group classification of a class of generalized diffusion equations. Commun. Nonlinear Sci. Numer. Simul. 16 (9), 3622–3638, arXiv:1012.0297.
- A. Bihlo and J. Staufer, 2011. Minimal atmospheric finite-mode models preserving symmetry and generalized Hamiltonian structures, Physica D 240 (7), 599–606, arXiv:0909.1957.
- A. Bihlo and R.O. Popovych, 2011. Point symmetry group of the barotropic vorticity equation. In Proceedings of the 5th workshop “Group Analysis of Differential Equations & Integrable Systems”, 15–27, arXiv:1009.1523.
- A. Bihlo and R.O. Popovych, 2009. Lie symmetries and exact solutions of the barotropic vorticity equation. J. Math. Phys. 50 (12), 123102, 12 pp, arXiv:0902.4099.
- A. Bihlo and R.O. Popovych, 2009. Symmetry justification of Lorenz’ maximum simplification. Nonlin. Dyn. 61 (1), 101–107, arXiv:0805.4061.
- A. Bihlo and R.O. Popovych, 2009. Symmetry analysis of barotropic potential vorticity equation. Commun. Theor. Phys. 52 (4), 697–700, arXiv:0811.3008.
- A. Bihlo, 2009. Symmetries in atmospheric sciences. In Proceedings of the 4th workshop “Group Analysis of Differential Equations & Integrable Systems”, 6–12, arXiv:0902.4112.
- A. Bihlo, 2008. Rayleigh-Bénard Convection as a Nambu–metriplectic problem. J. Phys. A: Math. Theor. 41 (29), 292001 (6 pp), arXiv:0803.4458.
Ph.D. thesis
- A. Bihlo, 2010. Symmetry methods in the atmospheric sciences. PhD thesis, University of Vienna, 165 pp. (Supervisors: Professor Dr. Michael Hantel, Professor Dr. Roman O. Popovych)
Diploma thesis
- A. Bihlo, 2007. Solving the vorticity equation with Lie groups. In Wiener Meteorologische Schriften, Vol. 6, facultas.wuv, Wien. (Supervisor: Professor Dr. Michael Hantel)