Results of work on project “Methods of computational physics for the study of complex systems” in 2025 We present to your attention an overview of the major results of the scientific work of the Meshcheryakov Laboratory of Information Technologies in collaboration with BLTP, FLNR, FLNP, DLNP, VBLHEP, and LRB in 2025 on the project entitled “Methods of computational physics for the study of complex systems” (06-6-1119-2-2024/2026) within the JINR Topical Plan on the theme “Methods, algorithms and software for modeling physical systems, mathematical processing and analysis of experimental data”. Project leaders: E.V. Zemlyanaya, O. Chuluunbaatar Deputies: Yu.L. Kalinovsky, A. Khvedelidze The project is aimed at the development and application of mathematical and computational methods for modeling complex physical systems studied within the JINR Topical Plan and described by systems of dynamic nonlinear, spatially multidimensional integral, integro-differential or differential equations that depend on the parameters of models. The evolution of solutions to such systems can be characterized by the occurrence of critical modes, bifurcations, and phase transitions. Mathematical modeling is an inseparable part of modern scientific research. It entails an adequate mathematical formulation of problems within the models under study, the adaptation of known numerical approaches or elaboration of new ones to effectively take into account the features of the studied physical processes, the development of algorithms and software packages for high-performance simulation on modern computer systems, including the resources of the JINR Multifunctional Information and Computing Complex.
