Numerical Experiments

  • Klaus Schittkowski
Part of the Applied Optimization book series (APOP, volume 77)


Whenever a complex dynamical system is derived to simulate a real-life phenomenon, the main problem is whether the mathematical model predicts the observed behavior in a correct way. Typical questions are:
  1. 1

    Which model parameters can be identified proceeding from the data given, and which not?

  2. 2

    How do measurement errors in experimental data influence the parameter values?

  3. 3

    What do we know about the steady state?

  4. 4

    Are fundamental physical or other laws satisfied, for example the mass balance equation?

  5. 5

    How stable are the numerical algorithms, and are the least squares algorithms capable of finding a solution as accurately as required?

  6. 6

    How accurate do we have be to discretize and solve the dynamical system?



Model Function Residual Norm Gradient Evaluation Parameter Estimation Problem Termination Tolerance 
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

© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • Klaus Schittkowski
    • 1
  1. 1.Department of MathematicsUniversity of BayreuthBayreuthGermany

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