Assessment of Innovative Development of the Russian Economy and Mathematical Modelling

In the article, the authors have developed the method for assessing the innovative development of the Russian economy. For this, an index analysis of the following factors has been carried out: the number of organisations and workers performing research and development; financing innovative activities; advanced manufacturing (nano)technologies in the process brought to the consumer; application of innovative technologies and objects of intellectual property. The integral indicators characterising their changes have been calculated, and the levels of innovative development of the Russian economy have been determined. Then, using the tools of mathematical modelling, a multi-factor mathematical model has been built and tested in real-time that enabled to obtain a high-quality predicted result. Based on the obtained forecasts, it is possible to state the need to adjust specific indicators that actively affect innovative development, which is a mathematical justification for making managerial decisions when developing strategies and programs related to the technological and digital modernisation of the Russian economy.