• DocumentCode
    875403
  • Title

    Implicit Three-Dimensional Finite Differencing of Maxwell´s Equations

  • Author

    Holland, Richard

  • Author_Institution
    Electro Magnetic Applications, Inc. 1025 Hermosa Drive SE (87108) Post Office Box 8482 Albuquerque, New Mexico 87198 and Computer Sciences Corporation 1400 San Mateo Blvd. SE Albuquerque, New Mexico 87108
  • Volume
    31
  • Issue
    6
  • fYear
    1984
  • Firstpage
    1322
  • Lastpage
    1326
  • Abstract
    An alternating implicit differencing scheme (AIDS) is described for advancing the time-domain form of Maxwell´s curl equations. This scheme is a perturbation of the Crank-Nicolson method, and thus should have no stability limitation on ¿t. Test problems have been run with ¿t incremented by factors of 10 up to 106 × the Courant-limit. In no case was any instability observed, although most runs yielded erroneous solutions if ¿t was more than 103 × the Courant limit.
  • Keywords
    Acquired immune deficiency syndrome; Application software; Difference equations; Drives; Finite difference methods; Maxwell equations; Sparse matrices; Stability; Testing; Time domain analysis;
  • fLanguage
    English
  • Journal_Title
    Nuclear Science, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9499
  • Type

    jour

  • DOI
    10.1109/TNS.1984.4333504
  • Filename
    4333504