Two new numerical schemes for the modeling of magnets

At the moment, numerical simulation is one of the most important tools for studying the physical processes taking place in magnetic materials and is in great demand when solving engineering problems for creating new spintronics devices. At the same time, it is necessary to develop numerical schemes that are adapted to certain tasks. In particular, numerical schemes that are optimal in terms of the count rate for problems with demagnetization and without it, obviously, will be fundamentally different. It is also desirable for numerical schemes to take into account the specificity of the evolution of magnetic moments in magnetic materials. The evolution of the magnetic moments is most accurately described by a rotation with a non-constant velocity around the moving axis. In this paper, prospective numerical schemes, including those that are based on rotation operators, and comparison results with traditional Runge–Kutta numerical schemes of the second and fourth orders are presented.