A Collection of 1,300 Dynamical Systems for Testing Data Fitting, Optimal
Control, Experimental Design, Identification, Simulation , or Similar Software-
User's Guide
K. Schittkowski: Report, Department of Computer Science, University of Bayreuth
(2009)
Abstract:
We describe a collection of test problems which have been used to develop and
test data fitting software for identifying parameters in explicit model
functions, dynamical systems of equations, Laplace transformations, systems of
ordinary differential equations, differential algebraic equations, or systems of
one-dimensional time-dependent partial differential equations with or without
algebraic equations, see
EASY-FIT
ModelDesign..
The test cases are useful also for any other reasons, e.g., in experimental
design, identification, or optimal control. In addition, they might facilitate
the implementation of new solvers for integrating ordinary or partial
differential equations. All test problems and the corresponding data sets can be
downloaded from the home page of the author. They were collected when
implementing the interactive data fitting program \logo, which is also
available. All nonlinear model functions are implemented in a special modeling
language called PCOMP providing function
values and first and second partial derivatives. The corresponding Fortran codes
of PCOMP are part of the software and
data package.
To download report, click here: ds_test_problems.pdf
To download all 100 Fortran codes, click here:
ds_test_probs_src.zip