FroZenLight interrelates line arts, mathematics, and cryptography. Circular shaped mirrors which are arranged in a grid-like manner reflect a light ray according to the reflection law of geometric optics. While random positions of the light source produce chaotic reflection patterns, it is possible to position the light source so that beautiful symmetric reflection patterns are created.
SHTns is a high-performance Spherical Harmonic Transform library. It was designed for numerical simulation (fluid flows, mhd, etc.) in spherical geometries, but can be used for any kind of problem involving scalar or vector spherical harmonics. It is very fast, thanks to careful vectorization and runtime tuning. It supports multi-threaded transforms via OpenMP. It features scalar and vector transforms, synthesis and analysis, and flexible truncation and normalization. A Python interface is included.
GenFoo is a general Fokker-Planck solver for models of arbitrary dimensionality. It contains three backend solvers, a delta-f Monte Carlo, a standard Monte Carlo, and a Finite Element solver. The key property of the GenFoo package is that physics are separated from numerics by runtime loading of the Fokker-Planck coefficients, which enable solutions of a large class of Fokker-Planck models.
Miramath is an Open Source project inspired by the MathCad mathematical application. The main user interface consists of a page into which mathematical expressions can be entered or edited and then evaluated. It features a Wysiwyg equation editor, automatic evaluation of equations, integrated plotting, symbolic algebra using Sympy, and numerical computations using Scipy.
jMathLab is a platform for mathematical and numerical computations. It uses the Matlab/Octave programming language. It runs on any platform where Java is installed, and can also run on the Web browser. The following packages are included: symbolic calculations (simplification, differentials, integration), numeric calculations, evaluations of mathematical functions, special functions, linear algebra with vectors and matrices, plotting data and functions, saving data (vectors and matrices) in files, random numbers, statistics, and solving linear and non-linear equations
PyParticles is a particle simulation toolbox entirely written in Python. It simulates a particle-by-particle model with the most popular integrations methods, including Euler, Runge Kutta, and Midpoint. It represents the results on an OpenGL or Matplotlib plot, and offers an easy-to-use API.