Conservative methods for the numerical integration of equations of motion for beams of charged particles (Q1374918)

This note is concerned with mathematical methods for numerically examining systems of differential equations, more specifically, with the construction of numerical methods that preserve physical integrals of motion or have two-sided estimates for each variable. Special attention is given to the convergence and stability of the method. For the motion of charged particles in a magnetic field and electromagnetic fields of a general form, we suggest numerical methods that preserve kinetic energy or, generally, a given velocity field.