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ALGLIB is an open source numerical analysis library with C# version. Dual licensed: GPLv2+, commercial license. ILNumerics.Net Commercial high performance, typesafe numerical array classes and functions for general math, FFT and linear algebra, aims .NET/mono, 32&64 bit, script-like syntax in C#, 2D & 3D plot controls, efficient memory management.
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.
Dormand–Prince is the default method in the ode45 solver for MATLAB [4] and GNU Octave [5] and is the default choice for the Simulink's model explorer solver. It is an option in Python's SciPy ODE integration library [6] and in Julia's ODE solvers library. [7] Implementations for the languages Fortran, [8] Java, [9] and C++ [10] are also ...
Some of the topics involved in considering numerical methods for linear least squares relate to this point. Thus important topics can be Computations where a number of similar, and often nested , models are considered for the same data-set.
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 ...
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.
General purpose numerical analysis and statistics library for the .NET framework and Mono, with optional support for native providers. NAG Numerical Library: The Numerical Algorithms Group: C, Fortran 1971 many components Not free Proprietary: General purpose numerical analysis library. NMath: CenterSpace Software: C# 2003 6.2, March 2016 $995 ...
Direct stiffness method — a particular implementation of the finite element method, often used in structural analysis; Trefftz method; Finite element updating; Extended finite element method — puts functions tailored to the problem in the approximation space; Functionally graded elements — elements for describing functionally graded materials