Software system for parameter estimation
and experimental design in explicit model functions, Laplace
transforms, steady-state systems, ordinary differential equations (ODE's),
differential algebraic equations (DAE's), and one-dimensional partial differential equations
(PDE's, PDAE's). The demo version contains all features of EASY-FIT ^{ModelDesign} with the restriction that model and data sizes are restricted. The
demo version is fully documented by interactive, context-sensitive
help texts and contains 1,300 test examples, many of them based on
real-life applications.
The program runs under MS-Windows.

To download the demo version of EASY-FIT ^{ModelDesign},
visit it's home page.

Software system for parameter estimation
in dynamical, i.e., time-dependent model functions, with or without
nonlinear constraints.
Up to two independent model variables, e.g., time and
concentration, and linear or nonlinear constraints can be
handled. The program runs under MS-Windows XP or higher.

To download EASY-FIT^{ Express}, visit it's
home page.

Interactive user interface running under MS-Windows, to
facilitate the formulation of nonlinear programming models,
their implementation and numerical solution. It is possible to
minimize general nonlinear functions subject to equality or inequality
constraints and continuous or/and integer and boolean variables. The program
runs under MS-Windows XP or higher.

To download EASY-OPT ^{Express}, visit it's
home page.

K. Schittkowski, More Test Examples for Nonlinear Programming Codes, Lecture Notes in Economics and Mathematical Systems, Springer, No, 282, 1987

are provided in form of Fortran source code together with a test frame. A decision is made which of the runs is successful, and performance results are evaluated. With the default tolerances given, all problems can be solved successfully by the code
NLPQLP. Results of NLPQLP are
included for comparative studies.

100 test problems for constrained nonlinear and nonconvex mixed-integer
optimization have been implemented in Fortran for testing MINLP software,
e.g., our code MISQP. Most of
them are taken from the GAMS MINLPLib. Results of MISQP are
included for comparative studies.

All 1.300 test problems of
EASY-FIT ^{ModelDesign}
are extracted from the database
and are available separately. They have been
implemented in a modeling language called
PCOMP, which also became part of the distributable package in form of
Fortran source codes. Moreover, 1.300 datasets are attached which contain
model data, e.g., number of variables, equations, etc., and experimental
data.

Vorlesungsmanuskript zur nichtlinearen Programmierung mit
folgendem Inhalt:

1. Einführung
1.1 Das nichtlineare Optimierungsproblem
1.2 Definitionen und Beispiele
1.3 Sattelpunkt und Dualität
1.4 Notwendige und hinreichende Optimalitätsbedingungen

W. Hock, K. Schittkowski, Test Examples for Nonlinear Programming
Codes, Lecture Notes in Economics and Mathematical Systems, Springer, No, 187, 1981

are provided in form of Mathcad worksheets (mcd-files). The report
contains a summary of the test problems that have been transferred to Mathcad,
a detailed example, and some numerical results. A particular advantage of executing these problems from
Mathcad is the possibility to plot
corresponding objective function surfaces and constraint contours very easily. Results of NLPQLP are
included for comparative studies.

To download the report and the test problems, click here: mc_nlp.zip
(about 3.6 MB)

295 ODE test examples have been transferred to
Mathcad worksheets (mcd-files).
The report contains a list of all problems and a detailed example. A
particular advantage of executing these problems from Mathcad is the
possibility to plot corresponding solutions very easily.

To download the report and the mcd-files, click here: mc_ode.zip
(about 7.3 MB).

28 DAE test examples have been transferred to
Mathcad worksheets (mcd-files).
The report contains a list of all problems and a detailed example. A
particular advantage of executing these problems from Mathcad is the
possibility to plot corresponding solutions very easily.

To download the report and the mcd-files, click here: mc_dae.zip
(about 1.2 MB).

131 PDE test examples have been transferred to
Mathcad worksheets (mcd-files).
The report contains a list of all problems and a detailed example. A
particular advantage of executing these problems from Mathcad is the
possibility to plot corresponding solutions very easily.

To download the report and the mcd-files, click here: mc_pde.zip
(about 3.5 MB).

17 PDE test examples have been transferred to
Mathcad worksheets (mcd-files).
The report contains a list of all problems and a detailed example. A
particular advantage of executing these problems from Mathcad is the
possibility to plot corresponding solutions very easily.

To download the report and the mcd-files, click here: mc_pdae.zip
(about 1.0 MB).

96 data fitting test examples have been transferred to
Mathcad worksheets (mcd-files).
The report contains a list of all problems and a detailed example. A
particular advantage of executing these problems from Mathcad is the
possibility to plot corresponding solutions very easily.

To download the report and the mcd-files, click here: mc_fit.zip
(about 3.3 MB).