- Conservation Laws
- Numerical methods for elliptic boundary value problems
- Density results with linear combinations of particular solutions of elliptic equations
- +۲ مورد دیگر
Yiorgos-Sokratis Smyrlis is a Professor in the Department of Mathematics and Statistics at the University of Cyprus, where he has served since 1993, progressing from Assistant Professor to Associate Professor (2003) and finally to Professor (2010). His academic career includes prior positions as Research Assistant Professor at UCLA (1989-91) and Lecturer at the University of Manchester (1991-93). Professor Smyrlis received his secondary education at Model School of Anavruta, Kifissia, Greece (1977-1980), followed by undergraduate studies at the University of Athens, Department of Mathematics (1980-84), where he ranked 1st with a grade of 9.7/10.0. He earned his MS (1986) and Ph.D. (1989) in Mathematics from the Courant Institute, New York University, with a dissertation titled "Existence and stability of stationary profiles of the LW scheme" under Peter D. Lax. His research focuses on Conservation Laws, Numerical methods for elliptic boundary value problems, Density results with linear combinations of particular solutions of elliptic equations, Dissipative and dispersive–dissipative dynamical systems, and Development of linearly implicit schemes for nonlinear parabolic equations. His work often centers on the Method of Fundamental Solutions (MFS) and its theoretical foundations and practical applications. Analysis of his publication record reveals a strong emphasis on developing and analyzing numerical methods, particularly the MFS, for solving partial differential equations across diverse physical contexts. His research spans theoretical mathematical analysis to practical computational implementations, with significant contributions to understanding the Kuramoto-Sivashinsky equation and related dynamical systems. Professor Smyrlis has maintained extensive collaborations, particularly with A. Karageorghis, G. Akrivis, and D.T. Papageorgiou, resulting in publications in prestigious journals including Mathematics of Computation, Numerische Mathematik, and SIAM Journal on Scientific Computing.





