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A Pseudo Dynamic Method for Solving Nonlinear Algebraic Equations

  • G. Hachtel
  • M. Mack
Part of the The IBM Research Symposia Series book series (IRSS)

Abstract

A widely convergent method for solving nonlinear algebraic equations is described which combines the algorithmic features of Gear-type automated stiff ODE solvers and Davidenko-type Parameter Stepping methods. The method consists of variable-order variable-time step transient analysis, with prediction and truncation error control, in which the Newton iteration on the final time step gives the desired solution. The method is shown to be efficient in model problems taken from the applications area of semiconductor integrated circuits.

Keywords

Truncation Error Newton Iteration Differential Algebraic Equation Nonlinear Algebraic Equation Algorithmic Feature 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Press, New York 1974

Authors and Affiliations

  • G. Hachtel
  • M. Mack
    • 1
  1. 1.Dept. of Math. SciencesIBM T.J. Watson Research CenterYorktown HeightsUSA

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