Infinity 1.3.1

Infinity is an innovative non-linear math application that allows you use complex mathematical expressions within equations to describe the problem which requires solution. Once the model is described using the common math language you can see the result immediately.
Infinity will offer unbeatable level of precision outperforming any competing math applications when it comes to high-precision calculations. Thanks to advanced computing technology and optimized processor usage resource-hungry calculations take less time and run smoothly.
Thanks to intuitive user-friendly interface and visually rich graphical engine calculating with Infinity is both easy and convenient!
Main 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;