Roman O. Popovych

According to our database, Roman O. Popovych authored at least 11 papers between 2008 and 2024.

Collaborative distances:

• Dijkstra number of six.
• Erdős number of five.

2024

Point- and contact-symmetry pseudogroups of dispersionless Nizhnik equation.

Vyacheslav M. Boyko, Roman O. Popovych, Oleksandra O. Vinnichenko

Commun. Nonlinear Sci. Numer. Simul., 2024

2023

Improving physics-informed DeepONets with hard constraints.

Rüdiger Brecht, Dmytro R. Popovych, Alex Bihlo, Roman O. Popovych

CoRR, 2023

2022

Physics-informed neural networks for the shallow-water equations on the sphere.

Alex Bihlo, Roman O. Popovych

J. Comput. Phys., 2022

2021

On the ineffectiveness of constant rotation in the primitive equations and their symmetry analysis.

Elsa Dos Santos Cardoso-Bihlo, Roman O. Popovych

Commun. Nonlinear Sci. Numer. Simul., 2021

Point and contact equivalence groupoids of two-dimensional quasilinear hyperbolic equations.

Roman O. Popovych

Appl. Math. Lett., 2021

2020

Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations.

Olena O. Vaneeva, Alexander Bihlo, Roman O. Popovych

Commun. Nonlinear Sci. Numer. Simul., 2020

Variational symmetries and conservation laws of the wave equation in one space dimension.

Roman O. Popovych, Alexei F. Cheviakov

Appl. Math. Lett., 2020

2014

Group classification and exact solutions of variable-coefficient generalized Burgers equations with linear damping.

Oleksandr A. Pocheketa, Roman O. Popovych, Olena O. Vaneeva

Appl. Math. Comput., 2014

2012

Invariant Discretization Schemes for the Shallow-Water Equations.

Alexander Bihlo, Roman O. Popovych

SIAM J. Sci. Comput., 2012

2008

Group analysis of nonlinear fin equations.

Olena O. Vaneeva, Andrew G. Johnpillai, Roman O. Popovych, Christodoulos Sophocleous

Appl. Math. Lett., 2008

Exact solutions of a remarkable fin equation.

Roman O. Popovych, Christodoulos Sophocleous, Olena O. Vaneeva

Appl. Math. Lett., 2008