**Dept. of Computer and Information science, Linköping University**

## IDA Technical Reports: abstract

*Generated: Sun, 04 Dec 2016 13:12:55 *

Fritzson, P. (1991).
**ObjectMath - Object Oriented Mathematical Modeling in Scientific
Computing, Applied to Machine Elements Analysis**.
Technical Report LiTH-IDA-R-91-06, Department of Computer and Information
Science, Linköping University, Sweden.
(bibtex),

**Abstract: **The current state of the art in programming for
scientific computing is still very low level. Much numerical software is
being developed the traditional way in FORTRAN. This is especially true in
application areas such as machine elements analysis, where complex non-linear
problems are standard. In order to improve this situation, we are developing
a practically usable high-level object-oriented programming environment for
scientific computing, which supports programming in equations instead of
low-level procedural programming, and permits better reuse of equations in
mathematical models.As an essential component in this environment we have
designed and implemented a modeling and programming language called
ObjectMath (Object oriented Mathematical language for scientific computing).
It is a hybrid language that combines object oriented language features with
a computer algebra language, in this case Mathematica. Using ObjectMath, it
is possible to model classes of equation objects, and to support inheritance
of equations. Geometrical constraints are expressed through connection
objects and coordinate system objects, and through use of parametric surface
techniques. The environment is designed to handle realistic problems. This is
achieved by allowing the user to specify transformations and simplifications
of formulae in the model, in order to arrive to a representation which is
solvable. When necessary, equations can be transformed to C++ code for
efficient numerical solution. A prototype version of the environment is
currently being used for a 3-dimensional example model of 200 equations
describing a rolling bearing.

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