Geodesic
Algorithms of motion in the particle-in-cell method
Numerical methods and programming, Tome 22 (2021) no. 4, pp. 281-293.

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in electromagnetic fields and compares this method with various known modifications of the Boris method. The created two-dimensional and three-dimensional algorithms are based on the use of an exact solution of the differential equation for the velocity of a charged particle at a time step. A comparative analysis of the Boris method and its modifications was carried out both in terms of the accuracy of the methods and the time of their operation. A new modification of the Boris method allows more accurate calculations of the trajectory and velocity of a charged particle without a significant increase in the complexity of calculations. It is shown that, when choosing a modification of the Boris method to solve a problem, one should pay attention first of all to the accuracy of the solution, since a simpler and faster scheme may not give a gain in time.
Mots-clés : modification of Boris method
Keywords: hybrid numerical models, particle-in-cell method, magnetohydrodynamics, kinetic Vlasov equation, Maxwell equations, computational plasma physics. 
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     title = {Algorithms of motion in the particle-in-cell method},
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     url = {http://geodesic.mathdoc.fr/item/VMP_2021_22_4_a3/}
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E. S. Voropaeva; K. V. Vshivkov; L. V. Vshivkova; G. I. Dudnikova; A. A. Efimova. Algorithms of motion in the particle-in-cell method. Numerical methods and programming, Tome 22 (2021) no. 4, pp. 281-293. http://geodesic.mathdoc.fr/item/VMP_2021_22_4_a3/