Abstract
In this chapter we shall consider the different methods for time integration of the particle equations of motion We shall describe the explicit (Sect 3.2) and implicit (Sect 3.3) schemes In some applications it is useful to exploit the splitting of the general equation of particle motion into a set of equations with a more simple structure (Sect 3.4) The basic analysis of the numerical stability of the time integration scheme is presented in Sect 3.5 Examples of C1 and D1 implicit time integration schemes are given in Sect 3.6 The Runge-Kutta schemes, which are more accurate in some cases than leap-frog schemes, are presented in Sect 3.7 And, finally, the scheme for relativistic particle motion is considered in Sect 3.8.
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© 2002 Springer-Verlag Berlin Heidelberg
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Lipatov, A.S. (2002). Time Integration of the Particle Motion Equations. In: The Hybrid Multiscale Simulation Technology. Scientific Computation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05012-5_3
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DOI: https://doi.org/10.1007/978-3-662-05012-5_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07508-7
Online ISBN: 978-3-662-05012-5
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