[en] A beam tracking with a numerical integration method has been studied for a design of a compact storage ring. Suitable numerical integration schemes for the beam tracking have been studied. Estimations of calculating speeds and accumulations of calculating errors have shown that a Runge-Kutta-Verner method and a Adams-Moulton's method are suitable for the beam tracking. Calculating results with various integration schemes have also shown that the numerical integration method can simulate an electron beam accurately when calculating errors are taken care of and tracking turns are restricted. (author)