Higher-order hybrid implicit/explicit FDTD time-stepping

W. Tierens

doi:10.1016/j.jcp.2016.09.065

Higher-order hybrid implicit/explicit FDTD time-stepping

W. Tierens

Fusion Theory and Modeling

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

3 Scopus citations

Abstract

Both partially implicit FDTD methods, and symplectic FDTD methods of high temporal accuracy (3rd or 4th order), are well documented in the literature. In this paper we combine them: we construct a conservative FDTD method which is fourth order accurate in time and is partially implicit. We show that the stability condition for this method depends exclusively on the explicit part, which makes it suitable for use in e.g. modelling wave propagation in plasmas.

Original language	English
Pages (from-to)	643-652
Number of pages	10
Journal	Journal of Computational Physics
Volume	327
DOIs	https://doi.org/10.1016/j.jcp.2016.09.065
State	Published - Dec 15 2016

Keywords

FDTD
High order
Partially implicit

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10.1016/j.jcp.2016.09.065

Cite this

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title = "Higher-order hybrid implicit/explicit FDTD time-stepping",

abstract = "Both partially implicit FDTD methods, and symplectic FDTD methods of high temporal accuracy (3rd or 4th order), are well documented in the literature. In this paper we combine them: we construct a conservative FDTD method which is fourth order accurate in time and is partially implicit. We show that the stability condition for this method depends exclusively on the explicit part, which makes it suitable for use in e.g. modelling wave propagation in plasmas.",

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author = "W. Tierens",

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PY - 2016/12/15

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N2 - Both partially implicit FDTD methods, and symplectic FDTD methods of high temporal accuracy (3rd or 4th order), are well documented in the literature. In this paper we combine them: we construct a conservative FDTD method which is fourth order accurate in time and is partially implicit. We show that the stability condition for this method depends exclusively on the explicit part, which makes it suitable for use in e.g. modelling wave propagation in plasmas.

AB - Both partially implicit FDTD methods, and symplectic FDTD methods of high temporal accuracy (3rd or 4th order), are well documented in the literature. In this paper we combine them: we construct a conservative FDTD method which is fourth order accurate in time and is partially implicit. We show that the stability condition for this method depends exclusively on the explicit part, which makes it suitable for use in e.g. modelling wave propagation in plasmas.

KW - FDTD

KW - High order

KW - Partially implicit

UR - https://www.scopus.com/pages/publications/84991490674

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DO - 10.1016/j.jcp.2016.09.065

M3 - Article

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VL - 327

SP - 643

EP - 652

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

Higher-order hybrid implicit/explicit FDTD time-stepping

Abstract

Keywords

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