Inverse and Ill-posed Problems, Mathematical Physics, Partial Differential Equations and Their Application.
Main publications:
D. Zhaime, J. Rimshans and Sh. Guseynov (2007). Analytical and numerical solutions of temperature transients in electrolytic machining. Proceedings of the XIII International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering (ISEF-2007).
Sh. Guseinov (2006). On one approach for reducing of 3-D inverse heat conductivity problem in a multilayered domain to 1-D inverse problem and the uniqueness theorem. The International Journal "WSEAS Transactions on Mathematics", Issue 5, Vol. 5, pp. 492–499.
Sh. Guseinov, A. Buikis (2004). Conservative averaging method for solutions of inverse problems of mathematical physics. Book of Progress in Industrial Mathematics, Springer, pp. 241–246.
A. Buikis, Sh. E. Guseynov (2007). Inverse Initial Heat Flux and Relaxation Time Finding Problems for Hyperbolic Heat Equation. The International Journal "WSEAS Transactions on Mathematics", Issue 1, Vol. 6, pp. 43–48.
Sh. E. Guseynov, N. I. Kobasko. Hyperbolic heat transfer equation for the mathematical modelling of the Quenching Processes (2007). Proceedings of the 8th International Scientific and Technical Congress on The Equipment and Technologies for Metal and Alloy Heat-Treatment in the Machinery (OTTOM-8), pp. 213–219.
H. Kalis, Sh. Guseinov (2006). Calculations of the thermal-conductivity coefficients for 1-D heat transfer inverse problems. Proceedings of the 4th International Scientific Conference on Modelling for Material Processing, pp. 221–226.
A. Buikis, M. Buike and Sh. Guseinov (2004). Analytical two-dimensional solutions for heat transfer in system with rectangular fin. Advanced Computational Methods in Heat Transfer, v. 46, WIT Press, Southampton, pp. 35–46.
