Roman O. Popovych

Publication Activity (10 Years)

Years Active: 2008-2024
Publications (10 Years): 8

Top Topics

Hard Constraints

Top Venues

Commun. Nonlinear Sci. Numer. Simul.

Appl. Math. Lett.

J. Comput. Phys.

Publications

Vyacheslav M. Boyko, Roman O. Popovych, Oleksandra O. Vinnichenko
Point- and contact-symmetry pseudogroups of dispersionless Nizhnik equation. Commun. Nonlinear Sci. Numer. Simul. 132 (2024)
Rüdiger Brecht, Dmytro R. Popovych, Alex Bihlo, Roman O. Popovych
Improving physics-informed DeepONets with hard constraints. CoRR (2023)
Alex Bihlo, Roman O. Popovych
Physics-informed neural networks for the shallow-water equations on the sphere. J. Comput. Phys. 456 (2022)
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 (2021)
Roman O. Popovych
Point and contact equivalence groupoids of two-dimensional quasilinear hyperbolic equations. Appl. Math. Lett. 116 (2021)
Alex Bihlo, Roman O. Popovych
Physics-informed neural networks for the shallow-water equations on the sphere. CoRR (2021)
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 (2020)
Roman O. Popovych, Alexei F. Cheviakov
Variational symmetries and conservation laws of the wave equation in one space dimension. Appl. Math. Lett. 104 (2020)
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 (2014)
Alexander Bihlo, Roman O. Popovych
Invariant Discretization Schemes for the Shallow-Water Equations. SIAM J. Sci. Comput. 34 (6) (2012)
Roman O. Popovych, Christodoulos Sophocleous, Olena O. Vaneeva
Exact solutions of a remarkable fin equation. Appl. Math. Lett. 21 (3) (2008)
Olena O. Vaneeva, Andrew G. Johnpillai, Roman O. Popovych, Christodoulos Sophocleous
Group analysis of nonlinear fin equations. Appl. Math. Lett. 21 (3) (2008)