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Keynote Lecture - Prof. Yaroslav D. Sergeyev

Last modified 2015-07-12 11:27

The Infinity Computer and numerical computations with infinities and infinitesimals
Prof. Yaroslav D. Sergeyev
Distinguished Professor, Head of Numerical Calculus Laboratory
University of Calabria, Rende, Italy
Professor (part-time), Lobachevsky State University
Nizhni Novgorod, Russia

Date & Time: July 27 (Monday), 2015; 11:20a - 12:00p
Location: Monte Carlo (Blue Man Group) Theater


Abstract

    The lecture presents a recently introduced methodology allowing one to execute numerical computations with finite, infinite, and infinitesimal numbers on a new type of a computer – the Infinity Computer patented in USA and Europe. The new approach is based on the principle ‘The whole is greater than the part’ (Euclid’s Common Notion 5) that is applied to all numbers (finite, infinite, and infinitesimal) and to all sets and processes (finite and infinite). The new computational methodology is not related to the non-standard analysis and gives the possibility to execute computations of a new type simplifying fields of Mathematics where the usage of infinity and/or infinitesimals is required (e.g., divergent series, limits, derivatives, integrals, measure theory, probability theory, optimization, fractals, etc.). The main attention in the lecture is dedicated to the explanation of how practical numerical computations with infinities and infinitesimals can be executed. Examples regarding optimization, numerical differentiation, and ODEs are given. The Infinity Calculator using the Infinity Computer technology is presented during the talk.

Biography

    Yaroslav D. Sergeyev is Distinguished Professor at the University of Calabria, Italy (professorship awarded by the Italian Government) and Head of Numerical Calculus Laboratory at the same university. He is also Professor (part-time) at Lobachevsky Nizhni Novgorod State University, Russia and Affiliated Faculty at the Center for Applied Optimization, University of Florida, Gainesville, USA.

    He has got his Ph.D. from Lobachevsky Nizhni Novgorod State University in 1990 and his D.Sc. degree from Lomonosov State University, Moscow in 1996 (this degree is Habilitation for the Full Professorship in Russian universities). In 2013, he has been awarded Degree of Honorary Doctor from Glushkov Institute of Cybernetics of The National Academy of Sciences of Ukraine, Kiev.

    His research interests include numerical analysis, infinity computing and calculus, global optimization, philosophy of computations, set theory, number theory, fractals, parallel computing, and interval analysis. Prof. Sergeyev has been awarded several national and international research prizes (Pythagoras International Prize in Mathematics, Italy, 2010; Lagrange Lecture, Turin University, Italy, 2010; MAIK Prize for the best scientific monograph published in Russian, Moscow, 2008, etc.).

    His list of publications contains more than 200 items (among them 5 books). He is a member of editorial boards of 5 international journals and co-editor of 6 special issues. He delivered more than 40 plenary and keynote lectures at prestigious international congresses. He was Chairman of two international conferences and a member of Scientific Committees of more than 50 international congresses. He is Coordinator of numerous national and international research and educational projects. Software developed under his supervision is used in more than 40 countries of the world. Numerous magazines, newspapers, TV and radio channels have dedicated a lot of space to his research.

    For more information see his web page http://wwwinfo.deis.unical.it/~yaro
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