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.
High-order energy-conserving Line Integral Methods for charged particle dynamics / L. Brugnano, J.I. Montijano, L. Randez. - In: JOURNAL OF COMPUTATIONAL PHYSICS. - ISSN 0021-9991. - STAMPA. - 396:(2019), pp. 209-227. [10.1016/j.jcp.2019.06.068]
High-order energy-conserving Line Integral Methods for charged particle dynamics
L. Brugnano
;
2019
Abstract
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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
charged2 copia.pdf
accesso aperto
Descrizione: versione accettata
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
DRM non definito
Dimensione
843.74 kB
Formato
Adobe PDF
|
843.74 kB | Adobe PDF | |
|
jcp 396 (2019) 209-227.pdf
Accesso chiuso
Descrizione: pdf editoriale
Tipologia:
Pdf editoriale (Version of record)
Licenza:
DRM non definito
Dimensione
856.69 kB
Formato
Adobe PDF
|
856.69 kB | Adobe PDF | Richiedi una copia |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
