Roman O. Popovych

Orcid: 0000-0003-2403-1525

According to our database1, Roman O. Popovych authored at least 11 papers between 2008 and 2024.

Collaborative distances:
  • Dijkstra number2 of six.
  • Erdős number3 of five.

Timeline

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Bibliography

2024
Point- and contact-symmetry pseudogroups of dispersionless Nizhnik equation.
Commun. Nonlinear Sci. Numer. Simul., 2024

2023
Improving physics-informed DeepONets with hard constraints.
CoRR, 2023

2022
Physics-informed neural networks for the shallow-water equations on the sphere.
J. Comput. Phys., 2022

2021
On the ineffectiveness of constant rotation in the primitive equations and their symmetry analysis.
Commun. Nonlinear Sci. Numer. Simul., 2021

Point and contact equivalence groupoids of two-dimensional quasilinear hyperbolic equations.
Appl. Math. Lett., 2021

2020
Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations.
Commun. Nonlinear Sci. Numer. Simul., 2020

Variational symmetries and conservation laws of the wave equation in one space dimension.
Appl. Math. Lett., 2020

2014
Group classification and exact solutions of variable-coefficient generalized Burgers equations with linear damping.
Appl. Math. Comput., 2014

2012
Invariant Discretization Schemes for the Shallow-Water Equations.
SIAM J. Sci. Comput., 2012

2008
Group analysis of nonlinear fin equations.
Appl. Math. Lett., 2008

Exact solutions of a remarkable fin equation.
Appl. Math. Lett., 2008


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