Moscow International Conference on Computational Mathematics

Moscow International Conference on Computational Mathematics is a major triennial scientific forum dedicated to advances in numerical analysis and scientific computing. First convened in 1969, it has served as a premier platform for researchers from the Soviet Union and later the Russian Federation to engage with the international computational mathematics community. The conference traditionally covers fundamental theoretical developments, innovative algorithms, and their application to complex problems in physics, engineering, and computer science.

History and background

The inaugural conference was held in 1969, organized by leading Soviet mathematicians and institutions during a period of rapid growth in computational science. It was established to foster dialogue between Soviet scientists and their international peers amidst the Cold War, with early editions featuring prominent figures like Andrey Tikhonov and Nikolay Krasovsky. Subsequent conferences have been held triennially, with locations primarily in Moscow, though some sessions have been associated with institutions in Novosibirsk and Saint Petersburg. The event's continuity through the dissolution of the Soviet Union underscores its enduring role in the global scientific landscape, maintaining its status as a key meeting point for experts from CERN, MIT, and the Russian Academy of Sciences.

Conference scope and topics

The conference encompasses a broad spectrum of themes central to modern computational mathematics. Core areas consistently include the development and analysis of finite element methods, spectral methods, and Monte Carlo methods for solving partial differential equations. A significant focus is placed on high-performance computing, covering parallel algorithms, supercomputing architectures, and computational fluid dynamics. Applied mathematical modeling sessions address challenges in quantum mechanics, plasma physics, astrophysics, and molecular dynamics. Recent editions have expanded to incorporate topics in data assimilation, inverse problems, machine learning, and computational finance, reflecting the evolving intersection with artificial intelligence and big data.

Organizing institutions and committees

Primary organizational stewardship has historically been provided by the Moscow State University Faculty of Mechanics and Mathematics and the Keldysh Institute of Applied Mathematics. The Steklov Institute of Mathematics and the Institute of Numerical Mathematics of the Russian Academy of Sciences are also foundational organizing bodies. The program committee typically comprises eminent scientists from institutions like the Courant Institute of Mathematical Sciences, ETH Zurich, University of Oxford, and INRIA. Local arrangements are often managed by the Moscow Center for Continuous Mathematical Education in collaboration with universities such as the Moscow Institute of Physics and Technology and the Higher School of Economics.

Proceedings and publications

Accepted research presented at the conference is traditionally published in peer-reviewed proceedings. For many years, these were disseminated through major Soviet and Russian publishing houses like Nauka. Selected full-length papers from conferences are frequently published in special issues of leading international journals, including SIAM Journal on Numerical Analysis, Journal of Computational Physics, and Russian Journal of Numerical Analysis and Mathematical Modelling. Abstracts and talk materials are often compiled and distributed to participants, with digital archives increasingly maintained by the Computational Mathematics and Mathematical Physics journal and institutional repositories.

Notable editions and impact

Notable editions include the 1973 conference, which featured groundbreaking discussions on spline interpolation and fast Fourier transform algorithms, and the 1990 meeting held during perestroika, which saw unprecedented participation from Western scientists from IBM Research and Los Alamos National Laboratory. The 2012 conference highlighted advances in exascale computing and multiscale modeling, while the 2018 edition placed significant emphasis on computational topology and uncertainty quantification. The conference's impact is evident in its role in shaping collaborative research projects, influencing curricula at institutions like the University of Cambridge and Stanford University, and serving as a launchpad for seminal texts in numerical linear algebra and computational geometry.