4th Section
Section of Applied and Computational Mathematics
The research interests of the fuculty of the fourth Section are directed towards the scopes of Applied Mathematics, Computational Mathematics and Informatics.
Applied Mathematics: Mechanics is the oldest branch of Applied Mathematics, since it developed at the same time and following intense interaction with Classical Analysis and very often by the same researchers. For many years it constituted the preferential - perhaps even exclusive - field of application of new mathematical ideas. Today mechanics continues to constitute a branch of Applied Mathematics. The research development of mechanics in our time is mainly taking place in the field of Continuum Mechanics. Most of the problems posed by contemporary technology in Mathematics are formulated in the "language" of Continuum Mechanics. Mechanics has an enormous scope, as it extends from the mathematical description of a problem (modelling) and its "proper placement" to its solution (analytical - approximative). This determines the interaction potential of Mechanics with almost all branches of pure and applied mathematics.
Computational Mathematics: Computational Mathematics is a branch of Applied Mathematics which basically aims at producing, analysing and using effective numerical (computational) methods (algorithms) for solving mathematical problems, and consequently, real practical problems encountered in various sciences. With the numerical methods, which constitute completely determined finite processes, and by means of a computer, one searches for the most accurate possible numerical (approximative) solutions to mathematical problems with the least possible computational cost.
Computer Science: The areas of Computer Science include: Symbolic Computations (or symbolic and algebraic processing), Artificial Intelligence (automatic programming, natural language processing), Computational Linguistics (contextual languages), Parallel Algorithms.
Personnel of Applied and Computational Mathematics Section and their scientific interests:
| Name | Title | Scientific Interests |
|---|---|---|
| Horikis Theodoros | Professor | Nonlinear Waves/Optics, Nonlinear Evolution Equations, Integrable systems |
| Papadopoulos Charis | Professor | Theoretical Computer Science with focus in the Design and Analysis of Algorithms |
| Xenos Michalis | Professor | Fluid Mechanic |
| Papadopoulos Charis | Assistant Professor | Focus on theoretical aspects of Computer Science and Discrete Mathematics, and in particular on the development of algorithms to solve optimization and combinatorial problems mostly from the research areas of Graph Drawing, Graph Theory, Information Visualization and Map Labeling. |
| Karakatsani Fotini | Assistant Professor | Numerical Methods for Partial Differential Equations, Implicit–Explicit Schemes, Finite Element Method, A Posteriori Error Estimates for Time Dependent Problems, Adaptivity, Computational Fluid Dynamics, Stabilized-FEM, Discrete Maximum Principle. |
| Kontogiannis Sotirios | Specialized and Laboratory Teaching Staff | |
| Tzouvara Konstantina | Special Technical Laboratory Staff | Programming Languages, Informatics in Education, Gamification, IoT |