Muskhelishvili Institute of Computational Mathematics

Muskhelishvili Institute of Computational Mathematics of the Georgian Technical University is a scientific-research and information-analytical institution, which aims to acquire, disseminate and apply new knowledge in the process of formation of an innovative economy in Georgia to solve fundamental scientific, technological and socio-economic problems. The purpose is to carry out scientific research and innovative projects of various complexity, based on the efficient use of the Institute’s intellectual resources, with the aim of conducting fundamental and applied research for various government and non-state clients, including research projects funded by local and foreign institutions. An important part of the activities is to preserve the traditions established by the scientists of the previous generation. The Institute perceives its mission in maintaining and strengthening of its role as one of the leading scientific-research institutes, which contributes to the development of science. In order to achieve the set goals, the Institute studies and solves the following problems: – Applied problems of mathematical statistics, data analysis (environment, agriculture, medicine), mathematical modeling and imitation, development of new computer technologies, system analysis (environment, water pollution); – Development of numerical solution methods for engineering mechanics problems related to the determination of deformations causing breakdowns of various structures and equipment; – Construction of parallel algorithms, creation of relevant software, their research and implementation on a parallel computing system; – Mathematical modeling of social, economic and mathematical physics problems and development of appropriate computational methods and optimal algorithms; – Probabilistic measures and random sequences in topological vector spaces and topological groups; Compact vector summation and its uses; problems related with the rearrangements of series; – Cauchy-type singular integrals approximation schemes and their application for the boundary problems of function theory, as well as the elasticity theory, nuclear physics and other related problems; – to study the problem of approximate solution of generalized harmonic three-dimensional problems in the case of finite and infinite areas bounded by one or more surfaces; – Study and solve problems related to rotary shell calculations.