Τίτλος: Simulating our World: Rigorous Mathematics towards Smart Computational Modelling from Cell Biology to Geophysics

Abstract: Applied scientists spend a great deal of effort in quantifying properties and phenomena in as diverse areas as physics, biology and medicine, chemistry, geology, economics and finance, in the form of so-called models, typically posed in the language of mathematical formulas. Most often, advanced such models come in the `implicit’ form of differential equations. Classical examples include the equations of planetary motion, equations of heat conduction, equations of morphogenesis, and so on.
Mathematicians study and solve such equations, since it is their solutions that are typically the quantities we are after. The ever increasing complexity of such models and/or their application in complex scenarios needed by technological innovation renders the calculation of solutions to respective models impossible using classical mathematics. The invention of computers in the second half of the 20th century has been driven for the largest part by the need to solve, even approximately(!), such models of scientific and/ or practical interest.
To this end, scientists have embarked in the development of computer algorithms aiming to solve such models, thereby providing realistic computer simulations. The complexity of the contemporary models often requires unrealistic computer processing power, rendering such simulations intractable. Aiming to break this complexity barrier, I will discuss the development of a next generation, smart, reduced complexity computational modelling framework based on rigorous mathematical foundations and how we envisage that such complexity considerations will become increasingly important in the coming years.

Short CV: E. H. Georgoulis   https://www2.le.ac.uk/departments/mathematics/extranet/staff-material/staff-profiles/eg64