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GNU Scientific Library, a popular, free numerical analysis library implemented in C. GNU Multi-Precision Library is a library for doing arbitrary-precision arithmetic. hypre (High Performance Preconditioners) is an open-source library of routines for scalable solution of linear systems and preconditioning.
GNU MCSim a simulation and numerical integration package, with fast Monte Carlo and Markov chain Monte Carlo capabilities. ML.NET is a free-software machine-learning library for the C# programming language. [4] [5] NAG Library is an extensive software library of highly optimized numerical-analysis routines for various programming environments.
MATLAB/GNU Octave: Operating system: Unix, Microsoft Windows, macOS: Available in: English: Type: Validated numerics Computer-assisted proof Interval arithmetic Affine arithmetic Numerical linear algebra root-finding algorithm Numerical integration Automatic differentiation Numerical methods for ordinary differential equations: Website: www ...
Free (Analytica Free 101), $995 (professional), $2795 (enterprise) Proprietary: A numerical modeling environment with a declarative and visual programming language based on influence diagrams. Ch: SoftIntegration 1 October 2001: 7.5.1 2 December 2015: $399 (commercial), $199 (academic), Free (student) Proprietary
The first partially vectorized implementation of the NAG Fortran Library for the Cray-1 was released in 1983, while the first release of the NAG Parallel Library (which was specially designed for distributed memory parallel computer architectures) was in the early 1990s. Mark 1 of the NAG C Library was released in 1990.
Limited-memory BFGS method — truncated, matrix-free variant of BFGS method suitable for large problems; Steffensen's method — uses divided differences instead of the derivative; Secant method — based on linear interpolation at last two iterates; False position method — secant method with ideas from the bisection method
Simpson's 1/3 rule, also simply called Simpson's rule, is a method for numerical integration proposed by Thomas Simpson. It is based upon a quadratic interpolation and is the composite Simpson's 1/3 rule evaluated for n = 2 {\displaystyle n=2} .
Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their use is also known as " numerical integration ", although this term can also refer to the computation of integrals .