Corso di Dottorato “Numerical Computations on the Infinity Computer”, Dott. Marat S. Mukhametzhanov, Inizio 04.05.2021

Title: Numerical Computations on the Infinity Computer

Instructor: Dr. Marat S. Mukhametzhanov

Duration: 6 hours (3 lessons of 2 hours each)

Schedule:

May, 4: 17:00 – 19:00

May, 6: 17:00 – 19:00

May, 7: 17:00 – 19:00

Link MS Teams: https://teams.microsoft.com/l/team/19%3a2231b13fa6ce491aa2a6117c8c5401f5%40thread.tacv2/conversations?groupId=8f2def15-19f5-4472-a327-2dbe69515bf7&tenantId=7519d0cd-2106-47d9-adcb-320023abff57

Codice MS Teams: o173123

Abstract: The course is dedicated to numerical calculus on the Infinity Computer – a new type of a supercomputer allowing one to work numerically with finite, infinite, and infinitesimal numbers in a unique framework. Examples of a successful usage of the Infinity Computer in different areas of applied mathematics are presented. In particular, it is demonstrated that the Infinity Computer is able to produce exact results (i.e., up to machine precision) in several applied problems. Exercises on a software simulator of the Infinity Computer are performed during the course.

Biography: Marat Mukhametzhanov is a researcher in numerical analysis at the University of Calabria. He has two Master’s degrees (one in applied mathematics and computer science with a specialization in applied probabilities theory and statistics, and the second one in computer science engineering) and a Ph.D. in ICT with a specialization in numerical analysis and operations research. His research interests mainly cover numerical analysis and global optimization with a particular attention to solving real-life problems and developing new algorithms and techniques using both standard floating-point arithmetics and the frameworks for working numerically with infinite and infinitesimal quantities in numerical analysis, numerical simulation, operations research and machine learning.