Mathematical, Numerical, and Data-driven Modeling
RESEARCH TOPIC 1
Mathematical models: simulating reality with equations and algorithms.
Digital Twins are designed to replicate complex systems, which are difficult to observe and predict. These include urban traffic flows, living organisms’ physiological responses, and the turbulent behavior of air around airplanes. To understand and simulate such phenomena, scientists rely on mathematical models: they translate these phenomena into mathematical language and solve equations to understand how they will evolve. This task becomes much easier and faster thanks to numerical computation algorithms, which can instantly perform thousands of operations.
Research Topic 1 (RT1) of Spoke 9 aims to refine these mathematical and computational tools to build increasingly accurate models and more efficient algorithms. In doing so, RT1 seeks to lay a solid framework for developing efficient Digital Twins, capable of faithfully and dynamically mirroring the complexity of their real-world counterparts.
Keywords
Complex system
A collection of interconnected elements whose interactions yield global behaviors and properties beyond the understanding of individual components alone.
Mathematical model
Set of equations encapsulating the physical laws governing a given system: solving these equations corresponds to determining the evolution of the system.
Numerical computation algorithm
A set of step-by-step instructions enabling a computer to solve a certain problem using only numbers and logical-mathematical operations.
Coordination
Research Topic 1 is led by the University of Padua. The International School for Advanced Studies (SISSA) and the University of Trieste (UniTS) are also involved in RT1.