Sergii M. Torba

Publication Activity (10 Years)

Years Active: 2013-2024
Publications (10 Years): 13

Top Topics

Differential Equations

Multicriteria Optimization

Top Venues

Appl. Math. Comput.

J. Comput. Appl. Math.

Publications

Emmanuel Roque, Sergii M. Torba
Spectral parameter power series representation for regular solutions of the radial Dirac system. CoRR (2024)
Sergei M. Grudsky, Vladislav V. Kravchenko, Sergii M. Torba
Realization of the inverse scattering transform method for the Korteweg-de Vries equation. CoRR (2022)
Vladislav V. Kravchenko, Sergii M. Torba
A practical method for recovering Sturm-Liouville problems from the Weyl function. CoRR (2021)
Vladislav V. Kravchenko, Sergii M. Torba
An improved Neumann series of Bessel functions representation for solutions of perturbed Bessel equations. CoRR (2020)
Vladislav V. Kravchenko, Elina L. Shishkina, Sergii M. Torba
A Neumann series of Bessel functions representation for solutions of the radial Dirac system. CoRR (2020)
Vladislav V. Kravchenko, Sergii M. Torba
A direct method for solving inverse Sturm-Liouville problems. CoRR (2020)
Nelson Gutiérrez Jiménez, Sergii M. Torba
Spectral parameter power series representation for solutions of linear system of two first order differential equations. Appl. Math. Comput. 370 (2020)
Nelson Gutiérrez Jiménez, Sergii M. Torba
Analytic approximation of transmutation operators for one-dimensional stationary Dirac operators and applications to solution of initial value and spectral problems. CoRR (2020)
Vladislav V. Kravchenko, Elina L. Shishkina, Sergii M. Torba
A transmutation operator method for solving the inverse quantum scattering problem. CoRR (2020)
Kira V. Khmelnytskaya, Vladislav V. Kravchenko, Sergii M. Torba
A representation of the transmutation kernels for the Schrödinger operator in terms of eigenfunctions and applications. Appl. Math. Comput. 353 (2019)
Vladislav V. Kravchenko, Luis J. Navarro, Sergii M. Torba
Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions. Appl. Math. Comput. 314 (2017)
Vladislav V. Kravchenko, Samy Morelos, Sergii M. Torba
Liouville transformation, analytic approximation of transmutation operators and solution of spectral problems. Appl. Math. Comput. 273 (2016)
Vladislav V. Kravchenko, Sergii M. Torba
Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems. J. Comput. Appl. Math. 275 (2015)
Vladislav V. Kravchenko, Sergii M. Torba
Modified spectral parameter power series representations for solutions of Sturm-Liouville equations and their applications. Appl. Math. Comput. 238 (2014)
Raúl Castillo-Pérez, Vladislav V. Kravchenko, Sergii M. Torba
Spectral parameter power series for perturbed Bessel equations. Appl. Math. Comput. 220 (2013)