Sergii M. Torba

18 papers Journal 18

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Recovery of the matrix potential of the one-dimensional Dirac equation from spectral data. CoRR Emmanuel Roque, Sergii M. Torba
2025	J	`jnl`	Recovery of the rod cross section shape. CoRR Vladislav V. Kravchenko, Sergii M. Torba, Alexander O. Vatulyan
2025	J	`jnl`	Representation of solutions of the one-dimensional Dirac equation in terms of Neumann series of Bessel functions. CoRR Emmanuel Roque, Sergii M. Torba
2024	J	`jnl`	Spectral parameter power series representation for regular solutions of the radial Dirac system. CoRR Emmanuel Roque, Sergii M. Torba
2022	J	`jnl`	Realization of the inverse scattering transform method for the Korteweg-de Vries equation. CoRR Sergei M. Grudsky, Vladislav V. Kravchenko, Sergii M. Torba
2021	J	`jnl`	A practical method for recovering Sturm-Liouville problems from the Weyl function. CoRR Vladislav V. Kravchenko, Sergii M. Torba
2020	J	`jnl`	A Neumann series of Bessel functions representation for solutions of the radial Dirac system. CoRR Vladislav V. Kravchenko, Elina L. Shishkina, Sergii M. Torba
2020	J	`jnl`	A direct method for solving inverse Sturm-Liouville problems. CoRR Vladislav V. Kravchenko, Sergii M. Torba
2020	J	`jnl`	A transmutation operator method for solving the inverse quantum scattering problem. CoRR Vladislav V. Kravchenko, Elina L. Shishkina, Sergii M. Torba
2020	J	`jnl`	An improved Neumann series of Bessel functions representation for solutions of perturbed Bessel equations. CoRR Vladislav V. Kravchenko, Sergii M. Torba
2020	J	`jnl`	Analytic approximation of transmutation operators for one-dimensional stationary Dirac operators and applications to solution of initial value and spectral problems. CoRR Nelson Gutiérrez Jiménez, Sergii M. Torba
2020	J	`jnl`	Spectral parameter power series representation for solutions of linear system of two first order differential equations. Appl. Math. Comput. Nelson Gutiérrez Jiménez, Sergii M. Torba
2019	J	`jnl`	A representation of the transmutation kernels for the Schrödinger operator in terms of eigenfunctions and applications. Appl. Math. Comput. Kira V. Khmelnytskaya, Vladislav V. Kravchenko, Sergii M. Torba
2017	J	`jnl`	Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions. Appl. Math. Comput. Vladislav V. Kravchenko, Luis J. Navarro, Sergii M. Torba
2016	J	`jnl`	Liouville transformation, analytic approximation of transmutation operators and solution of spectral problems. Appl. Math. Comput. Vladislav V. Kravchenko, Samy Morelos, Sergii M. Torba
2015	J	`jnl`	Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems. J. Comput. Appl. Math. Vladislav V. Kravchenko, Sergii M. Torba
2014	J	`jnl`	Modified spectral parameter power series representations for solutions of Sturm-Liouville equations and their applications. Appl. Math. Comput. Vladislav V. Kravchenko, Sergii M. Torba
2013	J	`jnl`	Spectral parameter power series for perturbed Bessel equations. Appl. Math. Comput. Raúl Castillo-Pérez, Vladislav V. Kravchenko, Sergii M. Torba