Duszynski R.R.National Louis University, College of Arts and Sciences, Chicago, Illinois, USA ramzia@aol.com ORCID id: not available
Subject The article considers structural transition processes in macroeconomics. Objectives The aim is to present our own concept and mathematical tools to study structural transitions in macroeconomics. Dynamic inter-industry balance enables to formalize the problem in the form of a Koshi task for ordinary differential equations. Methods The methodology components include the basics of inter-industry and numerical analysis and modeling of linear or linearized dynamic systems, integral criteria of system dynamics, stability and quality of transitional processes. We also apply a technique for analyzing the own dynamic properties of economic systems that solve the same sustainability-related challenges, but on the basis of algebraic methods and criteria. Results We offer methods and mathematical tools for numerical study of sustainability and structural dynamics of macroeconomics. These methods are focused on integrating high-dimensional balance models and integral criteria for the quality of transition periods in the economy. The paper unveils advantages of calculating the matrix exponential and its integral in tasks involving analysis and forecasting, over other numerical methods. The proposed method permits to effectively build a difference scheme to integrate with any step of observation of the solution. In this case, the work step of integration is generated in the algorithm automatically, depending on changes in gross output. Conclusions The paper presents a unique option to analyze transitional processes in macroeconomics. It is designed to develop and evaluate the results of pursued economic policy.
Lyubushin N.P., Babicheva N.E., Konyshkov A.S. [Sustainable development: Evaluation, analysis, forecasting]. Ekonomicheskii analiz: teoriya i praktika = Economic Analysis: Theory and Practice, 2017, vol. 16, iss. 12, pp. 2392–2406. (In Russ.) URL: Link
Kim K.A. [Transition (transformation) processes – the dominant economic system development condition]. Vestnik Rossiiskogo universiteta druzhby narodov. Ser.: Ekonomika = Bulletin of Peoples’ Friendship University of Russia. Series Economics, 2013, no. 4, pp. 18–24. URL: Link (In Russ.)
Svetun'kov S.G., Abdullaev I.S. [Economic dynamics and industrial functions]. Vestnik Orenburgskogo gosudarstvennogo universiteta = Vestnik of the Orenburg State University, 2009, no. 5, pp. 110–114. URL: Link (In Russ.)
Svetun'kov S.G., Abdullaev I.S. [Comparative analysis of production functions in models of economic dynamics]. Izvestiya Sankt-Peterburgskogo universiteta ekonomiki i finansov = Bulletin of Saint Petersburg State University of Economics, 2019, no. 5, pp. 55–66. URL: Link (In Russ.)
Lyubushin N.P., Babicheva N.E., Usachev D.G., Shustova M.N. [Genesis of the concept of sustainable development of economic systems of various hierarchical levels]. Regional'naya ekonomika: teoriya i praktika = Regional Economics: Theory and Practice, 2015, no. 48, pp. 2–14. URL: Link (In Russ.)
Tupchienko V.A. [Scientific and technological progress and its influence on economic growth]. Ekonomicheskii analiz: teoriya i praktika = Economic Analysis: Theory and Practice, 2013, no. 24, pp. 33–38. URL: Link (In Russ.)
Almon C. Iskusstvo ekonomicheskogo modelirovaniya [The Craft of Economic Modeling]. Moscow, MAKS Press Publ., 2012, 646 p.
Svetunkov S. Complex-Valued Modeling in Economics and Finance. New York, NY, Springer, 2012, 318 p. URL: Link
Glaz'ev S.Yu. Ekonomika budushchego. Est' li u Rossii shans? [The economy of the future. Does Russia have a chance?] Moscow, Knizhnyi mir Publ., 2016, 640 p.
Pozamantir E.I. Vychislimoe obshchee ravnovesie ekonomiki i transporta (Transport v dinamicheskom mezhotraslevom balanse) [Computable general equilibrium of economy and transport (Transport in the dynamic interindustry balance)]. Moscow, Poli Print Servis Publ., 2014, 160 p.
McAfee A., Brynjolfsson E. Mashina, platforma, tolpa. Nashe tsifrovoe budushchee [Machine, Platform, Crowd: Harnessing Our Digital Future]. Moscow, Mann, Ivanov i Ferber Publ., 2019, 410 p.
Pogosov I.A., Sokolovskaya E.A. Faktory dolgovremennogo ekonomicheskogo rosta v Rossii [Long-Term Economic Growth Factors in Russia]. Moscow, IE RAS Publ., 2015, 53 p.
Pogosov I.A. [Factors of long-term economic growth: Scientific and technical progress and capital intensity of production]. Problemy prognozirovaniya = Problems of Forecasting, 2015, no. 5, pp. 11–24. URL: Link (In Russ.)
Leont'ev V.V. Ekonomicheskie esse. Teorii, issledovaniya, fakty i politika [Economics essay. Theories, research, facts and politics]. Moscow, Politicheskaya literatura Publ., 1990, 416 p.
Suvorov N.V., Treshchina S.V., Balashova E.V. et al. Rol' tekhnologicheskogo faktora v razvitii rossiiskoi ekonomiki: rezul'taty prognozno-analiticheskikh issledovanii [The role of technological factor in the Russian economy development: Results of predictive analytics]. Moscow, MAKS Press Publ., 2015, 640 p.
Toroptsev E.L., Marakhovskii A.S., Duzhinski R.R. [Theoretical framework for a set of equilibrium and input-output models development]. Ekonomicheskii analiz: teoriya i praktika = Economic Analysis: Theory and Practice, 2019, vol. 18, iss. 3, pp. 427–446. (In Russ.) URL: Link
Wilkinson J.H. Algebraicheskaya problema sobstvennykh znachenii [The Algebraic Eigenvalue Problem]. Moscow, Nauka Publ., 1970, 564 p.
Golub G.H., Van Loan Ch.F. Matrichnye vychisleniya [Matrix Computations]. Moscow, Mir Publ., 1998, 548 p.
Rakitskii Yu.V., Ustinov S.M., Chernorutskii I.G. Chislennye metody resheniya zhestkikh sistem [Numerical solutions for rigid systems]. Moscow, Nauka Publ., 1979, 208 p.
Krass I.A. Matematicheskie modeli ekonomicheskoi dinamiki [Mathematical models of economic dynamics]. Moscow, Sovetskoe radio Publ., 1976, 279 p.
