Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions VV Kravchenko, LJ Navarro, SM Torba arXiv preprint arXiv:1508.02738, 2015 | 77 | 2015 |
Transmutations,L-bases and complete families of solutions of the stationary Schrödinger equation in the plane HM Campos, VV Kravchenko, SM Torba Journal of Mathematical Analysis and Applications 389 (2), 1222-1238, 2012 | 62 | 2012 |
Spectral parameter power series for perturbed Bessel equations RC Perez, VV Kravchenko, SM Torba Applied Mathematics and Computation 220 (1 September 2013), 676–694, 2013 | 55 | 2013 |
Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems VV Kravchenko, SM Torba Journal of Computational and Applied Mathematics 275, 1-26, 2015 | 51 | 2015 |
Construction of transmutation operators and hyperbolic pseudoanalytic functions VV Kravchenko, SM Torba Complex Analysis and Operator Theory 9, 379-429, 2014 | 46 | 2014 |
A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations VV Kravchenko, SM Torba, R Castillo-Pérez Applicable Analysis 97 (5), 677-704, 2018 | 45 | 2018 |
Transmutations and spectral parameter power series in eigenvalue problems VV Kravchenko, SM Torba Operator Theory, Pseudo-Differential Equations, and Mathematical Physics …, 2013 | 40 | 2013 |
Transmutations for Darboux transformed operators with applications VV Kravchenko, SM Torba Journal of Physics A: Mathematical and Theoretical 45 (7), 075201, 2012 | 39 | 2012 |
Parabolic Type Equations and Markov Stochastic Processes on Adeles SM Torba, WA Zuniga-Galindo J Fourier Anal Appl 19 (4), 792-835, 2013 | 37 | 2013 |
A Neumann series of Bessel functions representation for solutions of Sturm–Liouville equations VV Kravchenko, SM Torba Calcolo 55 (1), 11, 2018 | 35 | 2018 |
Wave polynomials, transmutations and Cauchy’s problem for the Klein-Gordon equation KV Khmelnytskaya, VV Kravchenko, SM Torba, S Tremblay Journal of Mathematical Analysis and Applications 399 (1), 191-212, 2013 | 30 | 2013 |
Analysis of graded-index optical fibers by the spectral parameter power series method R Castillo-Pérez, VV Kravchenko, SM Torba Journal of Optics 17 (2), 025607, 2015 | 29 | 2015 |
Modified spectral parameter power series representations for solutions of Sturm–Liouville equations and their applications VV Kravchenko, SM Torba Applied Mathematics and Computation 238, 82-105, 2014 | 28 | 2014 |
Analytic approximation of solutions of parabolic partial differential equations with variable coefficients VV Kravchenko, JA Otero, SM Torba Advances in Mathematical Physics 2017, 2017 | 26 | 2017 |
Non-Archimedean Coulomb gases WA Zúñiga-Galindo, SM Torba Journal of Mathematical Physics 61 (1), 013504, 2020 | 23 | 2020 |
Liouville transformation, analytic approximation of transmutation operators and solution of spectral problems VV Kravchenko, S Morelos, SM Torba Applied Mathematics and Computation 273, 321-336, 2016 | 23 | 2016 |
Direct and inverse theorems in the theory of approximation by the Ritz method ML Horbachuk, YI Hrushka, SM Torba Ukrainian Mathematical Journal 57 (5), 751-764, 2005 | 21 | 2005 |
Direct and Inverse Theorems in the Theory of Approximation by the Ritz Method ML Horbachuk, YI Hrushka, SM Torba Ukrainian Mathematical Journal 57 (5), 751-764, 2005 | 21 | 2005 |
A direct method for solving inverse Sturm–Liouville problems VV Kravchenko, SM Torba Inverse Problems 37 (1), 015015, 2020 | 20 | 2020 |
On a series representation for integral kernels of transmutation operators for perturbed Bessel equations VV Kravchenko, EL Shishkina, SM Torba Mathematical Notes 104, 530-544, 2018 | 18 | 2018 |