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The primary difference between a computer algebra system and a traditional calculator is the ability to deal with equations symbolically rather than numerically. The precise uses and capabilities of these systems differ greatly from one system to another, yet their purpose remains the same: manipulation of symbolic equations.
Figure 2. Xcas can solve equations, calculate derivatives, antiderivatives and more. Figure 3. Xcas can solve differential equations. Xcas is a user interface to Giac, which is an open source [2] computer algebra system (CAS) for Windows, macOS and Linux among many other platforms. Xcas is written in C++. [3]
Free: Linux, Windows: CalculiX: It is an Open Source FEA project. The solver uses a partially compatible ABAQUS file format. The pre/post-processor generates input data for many FEA and CFD applications: Guido Dhondt, Klaus Wittig: 2.20: 2022-08-01: GNU GPL: Free: Linux, Windows: DIANA FEA
Euler contains libraries for statistics, exact numerical computations with interval inclusions, differential equations and stiff equations, astronomical functions, geometry, and more. The clean interface consists of a text window, and a graphics window. The text window contains fully editable notebooks, and the graphics window the graphics output.
Berkeley Madonna is a mathematical modelling software package, developed at the University of California at Berkeley by Robert Macey and George Oster.It numerically solves ordinary differential equations and difference equations, originally developed to execute STELLA programs.
The GNU Data Language is a free alternative. ILNumerics.Net, a C# math library that brings numeric computing functions for science, engineering and financial analysis to the .NET Framework. KPP generates Fortran 90, FORTRAN 77, C, or Matlab code for the integration of ordinary differential equations (ODEs) resulting from chemical reaction ...
SageMath (previously Sage or SAGE, "System for Algebra and Geometry Experimentation" [3]) is a computer algebra system (CAS) with features covering many aspects of mathematics, including algebra, combinatorics, graph theory, group theory, differentiable manifolds, numerical analysis, number theory, calculus and statistics.
Solving differential equations, nonlinear approximations, Monte-Carlo calculations, engineering math, interactive plots, Python an R interface J: Jsoftware 1989 1990 J9.5.1 20 December 2023: Free GPL: online access to: J Application Library (JAL) Julia: Jeff Bezanson, Stefan Karpinski, Viral B. Shah, Alan Edelman: 2009 2012 1.11.2 2 December ...