Physical and mathematical models have been built for calculating the magnetic properties of a superconducting spin valve [1]. In the report two algorithms for modeling spin dynamics are presented: without lattice vibrations and with allowance for lattice vibrations [2]. Mathematical modeling was carried out in the LAMMPS software package using modern empirical many-particle potentials EAM (embedded atom method). Methods for determining the magnetic properties of nanostructured materials are presented. The general form for describing the total energy of magnetic systems can be written in the sum of the Zeeman and exchange interactions, the magnetic anisotropy, the Dzyaloshinsky-Moriya interactions, magnetoelectric and dipole. The properties superconducting spin valve, such as magnetization, spin temperature, and exchange interaction energy, have been calculated.