View in EDS

A modified Crank-Nicolson scheme for the Vlasov-Poisson system with a strong external magnetic field.

Saved in:
Bibliographic Details
Title: A modified Crank-Nicolson scheme for the Vlasov-Poisson system with a strong external magnetic field.
Authors: Filbet, Francis1 (AUTHOR) francis.filbet@math.univ-toulouse.fr, Rodrigues, L. Miguel1,2 (AUTHOR) luis-miguel.rodrigues@univ-rennes.fr, Trinh, Kim Han1,2 (AUTHOR) kim-han.trinh@univ-rennes.fr
Source: Journal of Computational Physics. May2026, Vol. 552, pN.PAG-N.PAG. 1p.
Subjects: Crank-Nicolson method, Vlasov equation, Iterative methods (Mathematics), Computer simulation, Plasma physics, Numerical analysis, Magnetic fields
Abstract: We propose and study a Particle-In-Cell (PIC) method utilizing Crank-Nicolson time discretization for the Vlasov-Poisson system with a strong, inhomogeneous external magnetic field with fixed direction. Our focus is on particle dynamics in the plane orthogonal to the magnetic field. In this regime, traditional explicit schemes are constrained by stability conditions linked to the small Larmor radius and plasma frequency [1]. To avoid this limitation, our approach is based on numerical schemes [2, 3, 4], providing a consistent PIC discretization of the guiding-center system taking into account variations of the magnetic field. We carry out some theoretical proofs and perform several numerical experiments to validate the method demonstrating its robustness and accuracy. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Computational Physics is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 191812793
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: A modified Crank-Nicolson scheme for the Vlasov-Poisson system with a strong external magnetic field.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Filbet%2C+Francis%22">Filbet, Francis</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> francis.filbet@math.univ-toulouse.fr</i><br /><searchLink fieldCode="AR" term="%22Rodrigues%2C+L%2E+Miguel%22">Rodrigues, L. Miguel</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> luis-miguel.rodrigues@univ-rennes.fr</i><br /><searchLink fieldCode="AR" term="%22Trinh%2C+Kim+Han%22">Trinh, Kim Han</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> kim-han.trinh@univ-rennes.fr</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Journal+of+Computational+Physics%22">Journal of Computational Physics</searchLink>. May2026, Vol. 552, pN.PAG-N.PAG. 1p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Crank-Nicolson+method%22">Crank-Nicolson method</searchLink><br /><searchLink fieldCode="DE" term="%22Vlasov+equation%22">Vlasov equation</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Plasma+physics%22">Plasma physics</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Magnetic+fields%22">Magnetic fields</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We propose and study a Particle-In-Cell (PIC) method utilizing Crank-Nicolson time discretization for the Vlasov-Poisson system with a strong, inhomogeneous external magnetic field with fixed direction. Our focus is on particle dynamics in the plane orthogonal to the magnetic field. In this regime, traditional explicit schemes are constrained by stability conditions linked to the small Larmor radius and plasma frequency [1]. To avoid this limitation, our approach is based on numerical schemes [2, 3, 4], providing a consistent PIC discretization of the guiding-center system taking into account variations of the magnetic field. We carry out some theoretical proofs and perform several numerical experiments to validate the method demonstrating its robustness and accuracy. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Computational Physics is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=191812793
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.jcp.2026.114693
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Crank-Nicolson method
        Type: general
      – SubjectFull: Vlasov equation
        Type: general
      – SubjectFull: Iterative methods (Mathematics)
        Type: general
      – SubjectFull: Computer simulation
        Type: general
      – SubjectFull: Plasma physics
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Magnetic fields
        Type: general
    Titles:
      – TitleFull: A modified Crank-Nicolson scheme for the Vlasov-Poisson system with a strong external magnetic field.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Filbet, Francis
      – PersonEntity:
          Name:
            NameFull: Rodrigues, L. Miguel
      – PersonEntity:
          Name:
            NameFull: Trinh, Kim Han
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 00219991
          Numbering:
            – Type: volume
              Value: 552
          Titles:
            – TitleFull: Journal of Computational Physics
              Type: main
ResultId 1