# Location: Approximating Sine Waves @ 654722543eff / documentation.html

- Author:
- David Nickerson <nickerso@users.sourceforge.net>
- Date:
- 2015-05-25 22:02:52+12:00
- Desc:
- moving to the Euler integration algorithm
- Permanent Source URI:
- https://models.cellml.org/w/andre/sine/rawfile/654722543efff0fb045839758f33bcf438d26979/documentation.html

This workspace provides a collection CellML models primarily developed for testing software tools and the model repository. There are models for calculating sine using the MathML `sin`

operator, a parabolic approximation, and a differential equation approximation.

The CellML document `sin_approximations_import.xml`

is the top-level CellML model. It imports the three sub-models which define the three ways of calculating sine. The SED-ML document `sin_approximations_sedml.xml`

describes a simulation experiment which computes a sine wave over the interval 0 to 2*pi using these three methods and plots a graph showing that they all give similar results (see image below). `sin_approximations_import.xml`

also contains a CSim *summary description* of the simulation experiment defined in `sin_approximations_sedml.xml`

such that CSim can be used to perform the actual numerical computations required to produce the data shown in the graph below.

OpenCell version 0.8 can also be used to perform the same simulation experiment, with the results plotted below highlighting the differences between the three methods a bit better: