• DocumentCode
    1162948
  • Title

    A modified Gummel method for the basic semiconductor device equations

  • Author

    Ringhofer, Christian ; Schmeiser, Christian

  • Author_Institution
    Dept. of Math., Arizona State Univ., Tempe, AZ, USA
  • Volume
    7
  • Issue
    2
  • fYear
    1988
  • fDate
    2/1/1988 12:00:00 AM
  • Firstpage
    251
  • Lastpage
    253
  • Abstract
    A modification of H.K. Gummel´s (1964) method for the iterative solution of the basic semiconductor device equations is presented. The method uses an approximation of an appropriately preconditioned Jacobian matrix and is designed to improve the convergence of Gummel´s method for large currents. Performance is tested on a model problem
  • Keywords
    convergence of numerical methods; iterative methods; semiconductor device models; convergence; iterative solution; large currents; model; modified Gummel method; preconditioned Jacobian matrix; semiconductor device equations; Convergence; Difference equations; Ear; Equations; Hydrogen; Iterative methods; Jacobian matrices; Mathematical analysis; Mathematics; Semiconductor devices; Steady-state; Testing;
  • fLanguage
    English
  • Journal_Title
    Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0278-0070
  • Type

    jour

  • DOI
    10.1109/43.3155
  • Filename
    3155