List of numerical analysis software

List of Numerical Analysis Software refers to a comprehensive compilation of software tools designed for performing numerical analysis. Numerical analysis is a branch of mathematics that deals with algorithms for solving mathematical problems numerically, as opposed to symbolically or analytically. This field is crucial in engineering, physics, finance, and other sciences, where precise calculations are essential for problem-solving and decision-making. The software listed here varies in complexity, purpose, and application, catering to different needs within the scientific, engineering, and mathematical communities.

Overview

Numerical analysis software is utilized to perform complex calculations that include but are not limited to differential equations, linear algebra, optimization, and numerical integration. These tools often provide functionalities for matrix operations, function approximations, and solving algebraic equations, making them indispensable in research and development projects.

List of Software

• MATLAB - A high-level language and interactive environment for numerical computation, visualization, and programming.
• GNU Octave - An open-source numerical computing environment and programming language, compatible with MATLAB.
• NumPy - A library for the Python programming language, adding support for large, multi-dimensional arrays and matrices, along with a collection of mathematical functions to operate on these arrays.
• SciPy - An open-source Python library used for scientific and technical computing.
• R - A programming language and free software environment for statistical computing and graphics.
• Maple - A symbolic and numeric computing environment, and multi-paradigm programming language.
• Mathematica - A computational software program used in scientific, engineering, and mathematical fields and other areas of technical computing.
• SageMath - An open-source mathematics software system, integrating many existing open-source packages into a common Python-based interface.
• Scilab - An open-source, cross-platform numerical computational package and a high-level, numerically oriented programming language.
• Apache Commons Math - A library of lightweight, self-contained mathematics and statistics components addressing the most common problems not available in the Java programming language or Commons Lang.

Applications

The applications of numerical analysis software are vast and varied. They are used in:

• Engineering for the design and analysis of structures, fluids, heat transfer, and other phenomena.
• Physics for simulating complex systems and solving equations that describe physical laws.
• Finance for modeling markets, evaluating derivatives, and risk management.
• Biology for modeling biological processes and analyzing data from experiments.

See Also

• Computational science
• Mathematical software
• Scientific computing
• List of statistical software
• Comparison of numerical analysis software