Methods of computational physics for the study of complex systems The project is aimed at the development and application of mathematical and computational methods for modelling complexphysical systems studied within the JINR Topical Plan and described by systems of dynamic nonlinear, spatiallymultidimensional integral, integro-differential or differential equations that depend on the parameters of models. Theevolution of solutions to such systems can be characterized by the occurrence of critical modes, bifurcations and phasetransitions. Mathematical modelling is an inseparable part of modern scientific research. It entails an adequate mathematical formulation of problems within the models under study, the adaptation of knownnumerical approaches or elaboration of new ones to effectively take into account the features of the studied physicalprocesses, the development of algorithms and software packages for high-performance simulation on modern computersystems, including the resources of the JINR Multifunctional Information and Computing Complex. Expected results upon completion of the project:: Development of methods, algorithms and software packages for conducting the numerical research of interactions of varioustypes in complex systems of nuclear physics and quantum mechanics. Methods for modelling multifactorial processes in materials and condensed matter under external actions. Methods for solving simulation tasks in the design of experimental facilities and the optimization of their operating modes. Methods for modelling complex processes in dense nuclear matter based on the equation of state. Methods for modelling quantum systems using quantum information theory methods and hybrid quantum-classicalprogramming methods.
