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12/14/2004 Released 1.3.1 version of Infinity

10/05/2004 Readers' Desktop Engineering Choice Award Winner!

03/05/2004 New article "Short description of analytical numerical method of calculating nonlinear dynamic systems"

All news



Main features
:

  • Solving ordinary differential equations (ODE);
  • Solving ordinary differential equations systems;
  • Solving ordinary nonautonomous differential equations systems;
  • Solving nonlinear non-stationary differential equations;
  • Solving nonlinear non-stationary differential equations systems;
  • Solving derivatives;
  • Work with polynoms:
    • open the brackets;
    • expression normalization, etc.
  • Solving linear algebraic equations systems;

Key features:

The kernel:

  • allows to compute ordinary nonlinear non-autonomous systems of differential equations with the limiting absolute local error top level given;
  • the process of the found approximate solution removing from the unknown exact one is controlled (finds not only the approximate solution but also the area containing the exact solution);
  • the calculation step choice procedure is adaptive and anticipates the dynamics of the solution change;
  • allows to overcome correctly the first and the second kinds discontinuities in the solution;
  • reveals locally unstable areas in the solution;
  • provides an opportunity to choose between a more exact solution from the approximate one or between a faster calculation;
  • no necessity to bring the initial equations system to the normal Cauchy form;

Planned:

  • an opportunity of system parameters setting on each calculation step;
  • the x1 (x2 (t)) phase trajectories construction;
  • the selected class systems calculation on the basis of transition to a new independent variable (instead of the variable t, the f(t) function is chosen as independent);
  • parametrical synthesis of the selected class system models;

The interface:

  • allows to make scaling of the received results (in graphs) without repeating the calculation procedure;
  • allows to choose what data to show without repeating the calculation procedure;
  • displays the dynamics of the calculation step change;
  • allows to choose whether to display only the approximate solution or both the approximate solution and the area containing the exact solution (the degree of the distance between the exact and approximate solutions);

Planned:

  • an opportunity of viewing the kernel functions;
  • the mathematical mode data input;

  
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