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ORCIDRoman O. Popovych
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2020 – today
- 2024
[j10]Vyacheslav M. Boyko, Roman O. Popovych, Oleksandra O. Vinnichenko
:
Point- and contact-symmetry pseudogroups of dispersionless Nizhnik equation. Commun. Nonlinear Sci. Numer. Simul. 132: 107915 (2024)- 2023
- [i2]Rüdiger Brecht, Dmytro R. Popovych, Alex Bihlo, Roman O. Popovych:
Improving physics-informed DeepONets with hard constraints. CoRR abs/2309.07899 (2023) - 2022
- [j9]Alex Bihlo, Roman O. Popovych:
Physics-informed neural networks for the shallow-water equations on the sphere. J. Comput. Phys. 456: 111024 (2022) - 2021
- [j8]Roman O. Popovych:
Point and contact equivalence groupoids of two-dimensional quasilinear hyperbolic equations. Appl. Math. Lett. 116: 107068 (2021) - [j7]Elsa Dos Santos Cardoso-Bihlo, Roman O. Popovych:
On the ineffectiveness of constant rotation in the primitive equations and their symmetry analysis. Commun. Nonlinear Sci. Numer. Simul. 101: 105885 (2021) - [i1]Alex Bihlo, Roman O. Popovych:
Physics-informed neural networks for the shallow-water equations on the sphere. CoRR abs/2104.00615 (2021) - 2020
- [j6]Roman O. Popovych, Alexei F. Cheviakov:
Variational symmetries and conservation laws of the wave equation in one space dimension. Appl. Math. Lett. 104: 106225 (2020) - [j5]Olena O. Vaneeva, Alexander Bihlo, Roman O. Popovych:
Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations. Commun. Nonlinear Sci. Numer. Simul. 91: 105419 (2020)
2010 – 2019
- 2014
- [j4]Oleksandr A. Pocheketa, Roman O. Popovych, Olena O. Vaneeva:
Group classification and exact solutions of variable-coefficient generalized Burgers equations with linear damping. Appl. Math. Comput. 243: 232-244 (2014) - 2012
- [j3]Alexander Bihlo, Roman O. Popovych:
Invariant Discretization Schemes for the Shallow-Water Equations. SIAM J. Sci. Comput. 34(6) (2012)
2000 – 2009
- 2008
- [j2]Roman O. Popovych, Christodoulos Sophocleous, Olena O. Vaneeva:
Exact solutions of a remarkable fin equation. Appl. Math. Lett. 21(3): 209-214 (2008) - [j1]Olena O. Vaneeva, Andrew G. Johnpillai, Roman O. Popovych, Christodoulos Sophocleous:
Group analysis of nonlinear fin equations. Appl. Math. Lett. 21(3): 248-253 (2008)
Coauthor Index
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