Stiffness Of

نویسندگان

  • LLOYD N. TREFETHEN
  • DESMOND J. HIGHAM
  • N. TREFETHEN
چکیده

It is argued that even for a linear system of ODEs with constant coefficients, stiffness cannot properly be characterized in terms of the eigenvalues of the Jacobian, because stiffness is a transient phenomenon whereas the significance of eigenvalues is asymptotic. Recent theory from the numerical solution of PDEs is adapted to show that a more appropriate characterization can be based upon pseudospectra instead of spectra. Numerical experiments with an adaptive ODE solver illustrate these findings. AMS(MOS) Subject classification: 65L05.

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تاریخ انتشار 1993