http://www.mathrevolt.com
Infinity Online Help
Introduction
About Infinity
Key features
System requirements
Description
Overview
Operations
Functions
Objects
Commands
Variables
Interface
Plots
FAQ
Examples
Duck-solutions
Aleynikov's Problem
Brusselator
The problem of two bodies
A nonlinear autonomous stationary system with a locally unstable area
The problem with a discontinuity of the second kind
The problem with several discontinuities of the second kind
Registration
Purchasing and Licensing Issues
Registration
Product license information
Why should I register?
Support
  Variables

In Infinity the following variables are used: :

1. SupT - the right border of the calculation interval
a default value - 10;
possible values - SupT
> 0;

2. SupLocError -a local error (the top level of the absolute local error limit) in calculation.
a default value - 1e-5;
possible values - SupLocError
> 0;

3. Complicated - a system complexity flag (a system with specific features)
a default value - 1 (a system with specific features);
possible values - Complicated := 1 or Complicated := 0;

4. Digits - accuracy: the number of retained signs after a comma in a numerical work.
possible values - Digits := 5..4*106;
At the calculation accuracy increase the time of calculation increases as well;

5. t - an independent integration variable.

Note
:

a ) Complicated := 1 is a more "rigid" condition of solution searching. In this case you have a 100 % guarantee that the precise solution of any problems is inside the found area, but due to the "rigidity" increase the calculation’s computing expenses increase as well. If Complicated := 0, then the precise solution is inside the found area only for the tasks which don’t possess any specific features (without the second kind discontinuities or locally unstable areas).

b ) The less the SupLocError variable value, the narrower the area containing the precise solution. But if the problem possesses some specific features (for instance, there is a discontinuity of the second kind in the solution – Example: A problem with several discontinuances of the second kind, or one of the solutions is locally unstable - Example: A nonlinear system with a locally unstable area), the area containing the precise solution is extended because of the cumulative error (the top rating of a limiting absolute full error). With the help of the described variables it is possible to operate the calculation procedure of the entered ODE system.


Copyright © 1998-2004, MathRevolt. All rights reserved