Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles

01/30/2020

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by   Luigi Brugnano, et al.

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Gyrocenter dynamics of charged particles plays a fundamental role in plasma physics. In particular, accuracy and conservation of energy are important features for correctly performing long-time simulations. For this purpose, we here propose arbitrarily high-order energy conserving methods for its simulation. The analysis and the efficient implementation of the methods are fully described, and some numerical tests are reported.