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Acknowledgements - This project utilizes a Go interpreter called gomacro under the hood to evaluate Go code interactively. The gophernotes logo was designed by the brilliant Marcus Olsson and was inspired by Renee French's original Go Gopher design. Important Note - gomacro relies on the plugin package when importing third party libraries. This package works reliably on Mac OS X only with Go 1.10.2+ as long as you never execute the command strip gophernotes. If you can only compile gophernotes with Go <= 1.10.1 on Mac, consider using the Docker install and run gophernotes/Jupyter in Docker.

jupyter jupyter-notebook kernel gophernotes zeromq nteract data-science machine-learning artificial-intelligence numerical-methodsThis library provides high-performance components leveraging the hardware acceleration support and automatic differentiation of TensorFlow. The library will provide TensorFlow support for foundational mathematical methods, mid-level methods, and specific pricing models. The coverage is being rapidly expanded over the next few months. Foundational methods. Core mathematical methods - optimisation, interpolation, root finders, linear algebra, random and quasi-random number generation, etc.

tensorflow quantitative-finance finance numerical-methods numerical-optimization numerical-integration high-performance high-performance-computing gpu gpu-computing quantlibKratos is free under BSD-4 license and can be used even in comercial softwares as it is. Many of its main applications are also free and BSD-4 licensed but each derived application can have its own propietary license. Kratos is multiplatform and available for Windows, Linux (several distros) and macOS.

c-plus-plus multi-platform openmp mpi parallel-computing fem bsd-license numerical-methods multiphysics dem kratos kratos-multiphysicsNumerical Methods in C#.

math numerical-methods numerical-algorithms windows-phone-7Field Modeler 2012 was designed to allow introductory and advanced undergraduate students to get a ‘feel’ for the nature of the electromagnetic field.

electrodynamics numerical-methods physicsHerbie synthesizes floating-point programs from real-number programs, automatically handling simple numerical instabilities. Visit our website for tutorials, documentation, and an online demo.Herbie can improve the accuracy of many real-world programs, and is used by scientists in many disciplines. It has lead to two patches (for complex square roots and trigonometric functions), in math.js an open-source mathematics library. Herbie has semi-regular releases twice a year, maintains backwards compatibility, and uses standardized formats.

herbie racket floating-point numerical-methods developer-tools synthesis:octocat: Numerical Analysis Implementations in Various Languages

numerical-methods numerical-analysis examplesA Python library for arbitrary-precision floating-point arithmetic. Numerous other people have contributed by reporting bugs, requesting new features, or suggesting improvements to the documentation.

arbitrary-precision multiprecision floating-point special-functions numerical-integration numerical-methods plotting complex-numbers ordinary-differential-equations numerical-optimizationThis repository contains work on a book in progress to illustrate Riemann solvers in Jupyter notebooks. Contributors: @ketch, @rjleveque, and @maojrs.

riemann-solver jupyter-notebook book hyperbolic-equations partial-differential-equations mathematics numerical-methodsmlinterp is a fast C++ routine for linear interpolation in arbitrary dimensions (i.e., multilinear interpolation). mlinterp is written by Parsiad Azimzadeh and released under a permissive MIT License. The latest release can be downloaded here.

numerical-methods numerical-analysis interpolation cpp c-plus-plusA high-performance, open-source, C++ library for pricing derivatives. Read the Getting Started section of the wiki to learn how to use QuantPDE.

finance partial-differential-equations numerical-methods c-plus-plus cppRcpp is a powerful tool to write fast C++ code to speed up R programs. However, it is not easy, or at least not straightforward, to compute numerical integration or do optimization using pure C++ code inside Rcpp. RcppNumerical integrates a number of open source numerical computing libraries into Rcpp, so that users can call convenient functions to accomplish such tasks.

rcpp optimization integration numerical-methodsThe freeCappuccino is a three-dimensional fully unstructured finite volume code for Computational Fluid Dynamics which comes in serial and parallel version. Moreover, freeCappuccino is a fortran library for manipulation of discrete tensor fields, defined over polyhedral meshes.

cfd simulation linear-solvers turbulence tensor fluid-dynamics mpi numerical-methods finite-volumeDescent is a package for performing first-order optimization in python. Documentation (work in progress) is available at descent.readthedocs.org.

optimization numerical-methods proximal gradient-descentNumDiff provides a modern Fortran interface for computing the Jacobian (derivative) matrix of m nonlinear functions which depend on n variables. The Jacobian matrix is required for various applications, including numerical optimization. The library also provides for computing the sparsity of this matrix, and returning the Jacobian in sparse or dense form. This is currently an experimental work in progress and is not production ready. The goal is a comprehensive library that contains a full suite of computationally efficient implementations of algorithms for sparsity determination and numerical differentiation.

differentiation numerical-methods optimization sparsity-optimizationThe code behind @pendulum_bot Twitter bot which posts animations of a double pendulum released from a random position to swing for 30 seconds. The animation is saved as .mp4 video in animations subdirectory.

numpy matplotlib animation numerics numerical-methods differential-equations twitter twitter-bot:art: Web-based implementation of the poisson image blending in HTML5 Canvas / JavaScript

image-processing numerical-methodsSee wiki: Link with CBLAS & LAPACK. This work has been sponsored by Symmetry Investments and Kaleidic Associates.

dlang linear-algebra ndslice numerical-methods matlab octave quantitative-finance big-data numpy native-code high-performance symmetry-investments blas hedgefundThis library provides common numerical analysis functionality, without requiring any external bindings. It aims to serve as an experimental platform for scientific computation in a purely functional setting. Mar 14, 2018: Mostly functional, but there are still a few (documented) bugs. Complex number support is still incomplete, so the users are advised to not rely on that for the time being. The issues related to Complex number handling are tracked in #51, #12, #30.

linear-algebra sparse-linear-systems sparse-data matrix sparse-systems numerical-methods iterative-methods linear-systems numerical-calculations matrix-transpose sparse-vectors scientific-computing scientific-computations matrix-factorization matrix-computations iterative-linear-solvers lu-factorization matrix-product eigenvalues eigenvectors
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