Hamiltonian time integrators for Vlasov-Maxwell equations

Yang He; Hong Qin; Yajuan Sun; Jianyuan Xiao; Ruili Zhang; Jian Liu

doi:10.1063/1.4938034

Hamiltonian time integrators for Vlasov-Maxwell equations

Yang He
, Hong Qin
, Yajuan Sun
, Jianyuan Xiao
, Ruili Zhang
, Jian Liu

PPPL Computational Science

Princeton University

Research output: Contribution to journal › Article › peer-review

Abstract

Hamiltonian time integrators for the Vlasov-Maxwell equations are developed by a Hamiltonian splitting technique. The Hamiltonian functional is split into five parts, which produces five exactly solvable subsystems. Each subsystem is a Hamiltonian system equipped with the Morrison-Marsden-Weinstein Poisson bracket. Compositions of the exact solutions provide Poisson structure preserving/Hamiltonian methods of arbitrary high order for the Vlasov-Maxwell equations. They are then accurate and conservative over a long time because of the Poisson-preserving nature.

Original language	American English
Article number	124503
Journal	Physics of Plasmas
Volume	22
Issue number	12
DOIs	https://doi.org/10.1063/1.4938034
State	Published - Dec 1 2015

ASJC Scopus subject areas

Condensed Matter Physics

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10.1063/1.4938034

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abstract = "Hamiltonian time integrators for the Vlasov-Maxwell equations are developed by a Hamiltonian splitting technique. The Hamiltonian functional is split into five parts, which produces five exactly solvable subsystems. Each subsystem is a Hamiltonian system equipped with the Morrison-Marsden-Weinstein Poisson bracket. Compositions of the exact solutions provide Poisson structure preserving/Hamiltonian methods of arbitrary high order for the Vlasov-Maxwell equations. They are then accurate and conservative over a long time because of the Poisson-preserving nature.",

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AU - He, Yang

AU - Qin, Hong

AU - Sun, Yajuan

AU - Xiao, Jianyuan

AU - Zhang, Ruili

AU - Liu, Jian

PY - 2015/12/1

Y1 - 2015/12/1

N2 - Hamiltonian time integrators for the Vlasov-Maxwell equations are developed by a Hamiltonian splitting technique. The Hamiltonian functional is split into five parts, which produces five exactly solvable subsystems. Each subsystem is a Hamiltonian system equipped with the Morrison-Marsden-Weinstein Poisson bracket. Compositions of the exact solutions provide Poisson structure preserving/Hamiltonian methods of arbitrary high order for the Vlasov-Maxwell equations. They are then accurate and conservative over a long time because of the Poisson-preserving nature.

AB - Hamiltonian time integrators for the Vlasov-Maxwell equations are developed by a Hamiltonian splitting technique. The Hamiltonian functional is split into five parts, which produces five exactly solvable subsystems. Each subsystem is a Hamiltonian system equipped with the Morrison-Marsden-Weinstein Poisson bracket. Compositions of the exact solutions provide Poisson structure preserving/Hamiltonian methods of arbitrary high order for the Vlasov-Maxwell equations. They are then accurate and conservative over a long time because of the Poisson-preserving nature.

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U2 - 10.1063/1.4938034

DO - 10.1063/1.4938034

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JO - Physics of Plasmas

JF - Physics of Plasmas

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M1 - 124503

ER -

Hamiltonian time integrators for Vlasov-Maxwell equations

Abstract

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