Document Zbl 1452.65392

Brugnano, Luigi; Montijano, Juan I.; Rández, Luis

High-order energy-conserving line integral methods for charged particle dynamics. (English) Zbl 1452.65392

J. Comput. Phys. 396, 209-227 (2019).

Summary: In this paper we study arbitrarily high-order energy-conserving methods for simulating the dynamics of a charged particle. They are derived and studied within the framework of Line Integral Methods (LIMs), previously used for defining Hamiltonian Boundary Value Methods (HBVMs), a class of energy-conserving Runge-Kutta methods for Hamiltonian problems. A complete analysis of the new methods is provided, which is confirmed by a few numerical tests.

Cited in 18 Documents

MSC:

65P10	Numerical methods for Hamiltonian systems including symplectic integrators
78A35	Motion of charged particles
65L20	Stability and convergence of numerical methods for ordinary differential equations

Keywords:

charged particle dynamics; Lorentz force system; plasma physics; energy-conserving methods; line integral methods; Hamiltonian boundary value methods

Software:

LIMbook

Cite Review PDF

Full Text: DOI arXiv

References:

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