CasADi is a symbolic framework for numeric optimization implementing automatic differentiation in forward and reverse modes on sparse matrix-valued computational graphs. It supports self-contained C-code generation and interfaces state-of-the-art codes such as SUNDIALS, IPOPT etc. It can be used from C++, Python or Matlab/Octave.
Computator.NET is a special kind of numerical software that is fast and easy to use but not worse than others feature-wise. It's features include: - Real and complex functions charts - Real and complex calculator - Real functions numerical calculations including different methods - Over 107 Elementary functions - Over 141 Special functions - Over 21 Matrix functions and operations - Scripting language with power to easy computations including matrices - You can declare your own custom functions with scripting language
oomph-lib is an object-oriented, open-source finite-element library for the simulation of multi-physics problems. It is developed and maintained by Matthias Heil and Andrew Hazel of the School of Mathematics at The University of Manchester, along with many other contributors.