Symmetry preserving parameterization schemes RO Popovych, A Bihlo Journal of mathematical physics 53 (7), 073102, 2012 | 79 | 2012 |

Complete group classification of a class of nonlinear wave equations A Bihlo, E Dos Santos Cardoso-Bihlo, RO Popovych Journal of mathematical physics 53 (12), 123515, 2012 | 74 | 2012 |

Enhanced preliminary group classification of a class of generalized diffusion equations EDS Cardoso-Bihlo, A Bihlo, RO Popovych Communications in Nonlinear Science and Numerical Simulation 16 (9), 3622-3638, 2011 | 47 | 2011 |

Invariant discretization schemes for the shallow-water equations A Bihlo, RO Popovych SIAM Journal on Scientific Computing 34 (6), B810-B839, 2012 | 37 | 2012 |

Group analysis of general Burgers–Korteweg–de Vries equations S Opanasenko, A Bihlo, RO Popovych Journal of Mathematical Physics 58 (8), 081511, 2017 | 35 | 2017 |

A generative adversarial network approach to (ensemble) weather prediction A Bihlo Neural Networks 139, 1-16, 2021 | 34 | 2021 |

Lie symmetries and exact solutions of the barotropic vorticity equation A Bihlo, RO Popovych Journal of mathematical physics 50 (12), 123102, 2009 | 34 | 2009 |

Group classification of linear evolution equations A Bihlo, RO Popovych Journal of mathematical analysis and applications 448 (2), 982-1005, 2017 | 32 | 2017 |

Symmetry analysis of a system of modified shallow-water equations S Szatmari, A Bihlo Communications in Nonlinear Science and Numerical Simulation 19 (3), 530-537, 2014 | 29 | 2014 |

Rayleigh–Bénard convection as a Nambu-metriplectic problem A Bihlo Journal of Physics A: Mathematical and Theoretical 41 (29), 292001, 2008 | 29 | 2008 |

Physics-informed neural networks for the shallow-water equations on the sphere A Bihlo, RO Popovych Journal of Computational Physics 456, 111024, 2022 | 27 | 2022 |

Symmetry-preserving numerical schemes A Bihlo, F Valiquette Symmetries and Integrability of Difference Equations: Lecture Notes of the …, 2017 | 27 | 2017 |

The multiplier method to construct conservative finite difference schemes for ordinary and partial differential equations ATS Wan, A Bihlo, JC Nave SIAM Journal on Numerical Analysis 54 (1), 86-119, 2016 | 27 | 2016 |

Lie symmetries of two-dimensional shallow water equations with variable bottom topography A Bihlo, N Poltavets, RO Popovych Chaos: An Interdisciplinary Journal of Nonlinear Science 30 (7), 073132, 2020 | 25 | 2020 |

Point symmetry group of the barotropic vorticity equation A Bihlo, RO Popovych arXiv preprint arXiv:1009.1523, 2010 | 25 | 2010 |

Invariant parameterization and turbulence modeling on the beta-plane A Bihlo, EDS Cardoso-Bihlo, RO Popovych Physica D: Nonlinear Phenomena 269, 48-62, 2014 | 21 | 2014 |

Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations OO Vaneeva, A Bihlo, RO Popovych Communications in Nonlinear Science and Numerical Simulation 91, 105419, 2020 | 20 | 2020 |

Inverse problem on conservation laws RO Popovych, A Bihlo Physica D: Nonlinear Phenomena 401, 132175, 2020 | 20 | 2020 |

Variational integrator for the rotating shallow‐water equations on the sphere R Brecht, W Bauer, A Bihlo, F Gay‐Balmaz, S MacLachlan Quarterly Journal of the Royal Meteorological Society 145 (720), 1070-1088, 2019 | 20 | 2019 |

Conservative methods for dynamical systems ATS Wan, A Bihlo, JC Nave SIAM Journal on Numerical Analysis 55 (5), 2255-2285, 2017 | 20 | 2017 |