2 papers
math.NA2025
Neumann series of Bessel functions in direct and inverse spherically symmetric transmission eigenvalue problems
Vladislav V. Kravchenko, L. Estefania Murcia-Lozano, Nikolaos Pallikarakis
The transmission eigenvalue problem (TEP) plays a central role in inverse scattering theory. Despite substantial theoretical progress, the numerical solution of direct and inverse…
math.CA2024
Sinc method in spectrum completion and inverse Sturm-Liouville problems
Vladislav V. Kravchenko, L. Estefania Murcia-Lozano
Cardinal series representations for solutions of the Sturm-Liouville equation , with a complex valued potential are obtained, by using the cor…