Symmetry Webinar | Different Approaches for the Solutions of Differential Equations
Meet Our Speakers
Prof. Dr. Clemente Cesarano
Section of Mathematics, Uninettuno University, Roma, Italy;
Clemente Cesarano is associate professor of Numerical Analysis at the Section of Mathematics -Uninettuno University, Rome Italy; he is the coordinator of the doctoral college in Technological Innovation Engineering, coordinator of the Section of Mathematics, vice-dean of the Faculty of Engineering, president of the Degree Course in Management Engineering, director of the Master in Project Management Techniques, and coordinator of the Master in Applied and Industrial Mathematics. He is also a member of the Research Project “Modeling and Simulation of the Fractionary and Medical Center”, Complutense University of Madrid (Spain) and head of the national group from 2015, member of the Research Project (Serbian Ministry of Education and Science) “Approximation of Integral and Differential Operators and Applications”, University of Belgrade (Serbia) and coordinator of the national group from 2011-), a member of the Doctoral College in Mathematics at the Department of Mathematics of the University of Mazandaran (Iran), expert (Reprise) at the Ministry of Education, University and Research, for the ERC sectors: Analysis, Operator algebras and functional analysis, Numerical analysis. Clemente Cesarano is Honorary Fellows of the Australian Institute of High Energetic Materials, affiliated with the National Institute of High Mathematics (INdAM), is affiliated with the International Research Center for the “Mathematics & Mechanics of Complex Systems” (MEMOCS) - University of L’Aquila, associate of the CNR at the Institute of Complex Systems (ISC), affiliated with the “Research ITalian network on Approximation (RITA)” network as the head of the Uninettuno office, UMI member, SIMAI member.
In this webinar we have presented recent results regarding some relevant differential equations, as the Heun equations, focusing on the expansion of solutions in simpler mathematical functions, primarily of the hypergeometric class and the Grad-Shafranov plasma equilibrium equation, in toroidal geometry, that has been the fundamental step towards the realization of the Tokamak configurations, furthermore has been presented some adaptive schemes for solving radial basis function collocation problems, which involve elliptic partial differential equations.