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SciLab (https://www.scilab.org) – a package of programs for a wide range of numerical computations, featuring a powerful open environment for engineering and scientific calculations. The software tools are used for visualization, modeling, interpolation, solving differential equations, and mathematical statistics. Calculations are performed for both elementary and a large number of special functions (Bessel, Neumann, integral functions), and there are powerful tools for working with matrices, polynomials (including symbolic ones), numerical calculations (such as numerical integration), and solving problems in linear algebra, optimization, and simulation. SciLab’s computer mathematics environment has a similarity to the MATLAB language and a set of functions for mathematical, engineering, and scientific numerical computations.
The SciLab package also includes Scicos, a software tool for editing block diagrams and simulations (an extension over it, Xcos, is an analog to the Simulink package in MATLAB) synthesizing mathematical models in the fields of mechanics, hydraulics, electronics, and electromechanics. SciLab supports the execution of scripts written for MATLAB. The system includes a utility that allows converting MATLAB documents to SciLab. SciLab also has the ability to work with LabVIEW.LabPlot (https://labplot.kde.org/) – free software for interactive creation of scientific graphics, visualization, and data analysis with open-source code in “C” and “C++” for the KDE desktop. LabPlot is similar to Origin (an analog of MATLAB) and can import Origin data files.
LabPlot provides an easy way to create, manage, and edit graphics. Diagrams can be exported in several formats of pixel and vector graphics. 2-D and 3-D graphics are displayed on the “workspace” by reading data files or electronic tables. The software is characterized by high-quality data visualization, easy-to-use and reliable data analysis and statistics (without coding), import and export of data in various formats, and availability on Windows, macOS, Linux, and FreeBSD.
Currently, the work with the LabPlot source code is carried out through a web service for hosting and collaborative development of IT projects – GitHub, also known as a social network for software developers (https://github.com/KDE/labplot).
SageMath (https://www.sagemath.org/) – free mathematical software for studying applied mathematics, application in research, engineering, and science. This software covers many aspects of mathematics in various areas – algebra, geometry, combinatorics, numerical analysis, graph theory, number theory, group theory, cryptography, computation, and statistics. One of the main goals of SageMath is to create an accessible, free alternative to mathematical software packages such as Maple, Matematica, Magma, MATLAB, PARI, GAP, Singular, Maxima, KASH. In creating SageMath, the best open-source mathematical software products were combined, such as NumPy, SciPy, Matplotlib, Sympy, Maxima, GAP, FLINT, R, etc. The package involves working with the interactive development environment (IDE) of the Python language. Working with the source code of SageMath is done through GitHub (https://github.com/sagemath).
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