MLIT scientists’ paper published in Issue 6 of Natural Science Review The sixth issue of the international online scientific journal of the Joint Institute for Nuclear Research, Natural Science Review (NSR), has recently been published. This issue features the work of Head of the MLIT Sector of Complex Physical Systems Computations Elena Zemlyanaya and MLIT Deputy Director Ochbadrakh Chuluunbaatar. The paper entitled “Computational schemes based on the continuous analogue of Newton’s method in the numerical study of complex physical systems at JINR” presents an overview of the history of the development and application of iterative methods based on the continuous analogue of Newton’s method (CANM) at JINR, including the latest results of investigating a number of complex physical systems using CANM. While maintaining the high rate of convergence of iterations characteristic of classical Newton’s method, CANM enables the construction of modified schemes with an expanded convergence region tailored to specific problems. Therefore, CANM represents a flexible computational technology in demand for solving various types of nonlinear problems arising in the study of complex systems in nonlinear wave theory, quantum mechanics, nuclear and atomic physics, etc. The continuous analogue of Newton’s method, developed at JINR since the 1970s, is one of the uppermost areas of research at the Laboratory of Computing Techniques and Automation (LCTA), now MLIT. CANM and its generalization are powerful tools for the effective numerical solution of nonlinear problems within a wide range of complex physical systems studied at JINR. The review article provides a general framework for the CANM-based approach, the main stages in the development and applications of CANM for solving various types of nonlinear problems that have been on the agenda in different years. The results of the development and application of CANM-based iterative methods, obtained over the past 20 years, are presented in more detail. This NSR issue features papers on high-energy and particle physics, environmental sciences, condensed matter physics, mathematical physics, accelerator and nuclear physics. Some of the published papers will be included in a collection dedicated to the 70th anniversary of JINR.
