Muskhelishvili Institute of Computational Mathematics

The Niko Muskhelishvili Institute of Computational Mathematics was founded in 1956 within the framework of the Andria Razmadze Institute of Mathematics. It was established as an independent institution—under the name “Computing Center of the Academy of Sciences of Georgia”—pursuant to a decision by the Presidium of the Academy of Sciences of Georgia dated October 11, 1956 (Minutes No. 21, §1). In 1977, the institute was named after the prominent Georgian scientist Niko Muskhelishvili. On January 26, 1982, in recognition of its significant contributions to the development of computational mathematics and the widespread application of computing technology, as well as its role in training highly qualified scientific personnel—and coinciding with its 25th anniversary—the Niko Muskhelishvili Computing Center was awarded a Certificate of Honor by the Presidium of the Supreme Soviet of Georgia. By Resolution No. 295 of the Presidium of the Academy of Sciences of Georgia, dated July 7, 1983, the Computing Center was reorganized into the Institute of Computational Mathematics. Pursuant to Decree No. 58 of the Government of Georgia dated March 16, 2006, the Institute was transformed into a Legal Entity of Public Law, designated as the “Niko Muskhelishvili Institute of Computational Mathematics.” Under Decree No. 185 of the Government of Georgia dated July 9, 2010, the Institute underwent reorganization, becoming an independent scientific-research institute within the structure of the Georgian Technical University.

The mission and purpose of the Institute involve the execution of scientific-research and innovative projects of varying complexity, based on the effective utilization of the Institute’s intellectual resources. The Institute aims to conduct fundamental and applied research for various state and non-state clients—including scientific projects supported by grants from local and international scientific foundations. A significant component of the Institute’s activities is the preservation of traditions established by previous generations of scientists. The Institute defines its mission as preserving and strengthening the role of the Niko Muskhelishvili Institute of Computational Mathematics—a leading scientific research institution—and ensuring its continued contribution to the advancement of science. To achieve its objectives, the Institute addresses the following tasks: – applied problems in mathematical statistics; data analysis (in fields such as the environment, agriculture, and medicine); mathematical modeling and simulation; the development of new computer technologies; and systems analysis (focusing on environmental issues and water pollution); – the development of numerical solution methods for problems in engineering mechanics, specifically those related to determining deformations that lead to the failure of various structures and devices; – the design of parallel algorithms, the creation of corresponding software, and the analysis and implementation of these solutions on parallel computing systems; – mathematical modeling of problems in the social sciences, economics, and mathematical physics, along with the development of appropriate computational methods and optimal algorithms. – Probability measures and random sequences in topological vector spaces and topological groups; compact summation of vectors and its applications; – approximation schemes for Cauchy-type singular integrals and their application in the numerical realization of problems related to boundary-value problems in function theory, as well as to elasticity theory, nuclear physics, and other fields; – study of the approximate solution of generalized harmonic Dirichlet problems in three dimensions for finite and infinite domains bounded by one or more surfaces; – study and solution of problems related to the analysis of shells of revolution.