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

Numerical Analysis 2020-05-26 v2 Numerical Analysis

Abstract

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.

Keywords

Cite

@article{arxiv.2001.11264,
  title  = {Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles},
  author = {Luigi Brugnano and Felice Iavernaro and Ruili Zhang},
  journal= {arXiv preprint arXiv:2001.11264},
  year   = {2020}
}

Comments

23 pages, 4 figures