Numerical solution of the inverse problem for integral dynamic models with discontinuous kernels

Title	Numerical solution of the inverse problem for integral dynamic models with discontinuous kernels
Authors	A. N. Tynda¹, D. N. Sidorov^{2, 3} ¹Penza State University ²Melentiev Energy Systems Institute Siberian Branch of the Russian Academy of Sciences ³Irkutsk National Research University
Annotation	The paper presents a numerical method for solving the inverse problem for a mathematical model described by a weakly regular Volterra integral equation of the first kind with kernel having a discontinuity along a smooth curve.
Keywords	Volterra integral equation of the first kind, discontinuous kernels, inverse problem, arithmetic complexity.
Citation	Tynda A. N., Sidorov D. N. ''Numerical solution of the inverse problem for integral dynamic models with discontinuous kernels'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 14-18, 2022). Saransk: SVMO Publ, 2022. - pp. 193-199. Available at: https://conf.svmo.ru/files/2022/papers/paper30.pdf. - Date of access: 20.05.2024.