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The Open Optimal Control Library is a software framework in Matlab/Octave for modeling optimal control problem. It uses automatic differentiation and fast non-linear programming solvers. It implements direct methods. In the backend it uses CasADi and ipopt.
math lib for .NET. n-dim arrays, complex numbers, linear algebra, FFT, sorting, cells- and logical arrays as well as 3D plotting classes help developing algorithms on every platform supporting .NET. Sources from SVN, binaries: http://ilnumerics.net
Symofros is a robotics modeling software originally created by the Canadian Space Agency. Symofros basic functions include modeling Kinematics, Non-linear dynamics, Linear dynamics, Dynamics for constrained systems, and Systems with flexible links.