International Workshop on Numerical Solutions of Fractional Differential Equations and Applications (NSFDE&A’20), Sozopol, Bulgaria

The International Workshop on Numerical Solution of Fractional Differential Equations and Applications (NSFDE&A’20) took place in Sozopol, Bulgaria, September 7-12, 2020. It was organized by the Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, in cooperation with the Bulgarian Section of SIAM and the Center of Excellence in Informatics and Information and Communication Technologies (CoE in Informatics and ICT, Grant No BG05M2OP001-1.001-0003, financed by the Science and Education for Smart Growth Operational Program (2014-2020) and co-financed by the EU through the European Structural and Investment Funds).

The workshop followed the success of the Special Session on Fractional Diffusion Problems: Numerical Methods, Algorithms and Applications, organized within the scientific program of the 12th International Conference on Large-Scale Scientific Computations (LSSC’19), June 10–14, 2019, Sozopol, Bulgaria, and is aimed to be the founder of a new chain of NSFDE&A events to be organized biannually (every even year), complementary to the well-established biannual LSSC conferences (every odd year). Due to the COVID-19 pandemic, the event allowed for both online and physical participation. There were four half-day ZOOM sessions, dedicated to various topics of interest: special functions of fractional calculus, fractional in space diffusion problems, fractional in time problems, applications in science and engineering, parallel algorithms and high performance computing tools.

The main purpose of the workshop was to bring together scientists in the field of numerical methods working with fractional differential equations models in natural sciences and environmental and industrial applications, as well as developers of algorithms for modern high-performance computers. The keynote lectures review some of the most advanced achievements in the field of numerical solution of fractional differential equations and their applications. The workshop talks were presented by scientists from diverse research institutions including applied mathematicians, numerical analysts, and computer experts. Scientists from all over the world (America, Asia, and Europe) contributed to the success of the workshop, representing some of the strongest research groups in the corresponding fields.

List of keynote speakers and lectures:

Virginia Kiryakova (Institute of Mathematics and Informatics, Bulgarian Academy

of Sciences, Sofia, Bulgaria), Special Functions of Fractional Calculus in Solutions of Fractional Order Equations and Models

Raytcho Lazarov (Texas A&M University, College Station, Texas, US), Solution of Spectral Fractional Elliptic Problems: A Concise Overview of Methods Based on Rational Approximation

HongGuang Sun (State Key Laboratory of Hydrology-Water Resources and Hydraulic

Engineering, Hohai University, Nanjing, China), A Survey on Fast Algorithms for Fractional Diffusion Equations and its Applications

The NSFDE&A’20 proceedings contain 23 short communications by authors from 13 countries and can be found here:’20.pdf.

The next International Workshop on NSFDE&A will be organized in June 2022.

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