This software computes Gauss-Legendre quadrature nodes and weights using the formulas developed in "Iteration-Free Computation of Gauss-Legendre Quadrature Nodes and Weights", I. Bogaert, published in the SIAM Journal of Scientific Computing (Permalink: http://dx.doi.org/10.1137/140954969).

The key features are:
- Speed: due to the simplified formulas and the O(1) complexity computation of individual Gauss-Legendre
quadrature nodes and weights. The latter also makes this software perfectly compatible with parallel computing paradigms.
- Accuracy: the error on the nodes and weights is smaller than a few ulps (see the paper for details).

Project Activity

See All Activity >

Categories

Mathematics

License

BSD License

Follow Fast Gauss-Legendre Quadrature Rules

Fast Gauss-Legendre Quadrature Rules Web Site

Other Useful Business Software
Gen AI apps are built with MongoDB Atlas Icon
Gen AI apps are built with MongoDB Atlas

The database for AI-powered applications.

MongoDB Atlas is the developer-friendly database used to build, scale, and run gen AI and LLM-powered apps—without needing a separate vector database. Atlas offers built-in vector search, global availability across 115+ regions, and flexible document modeling. Start building AI apps faster, all in one place.
Start Free
Rate This Project
Login To Rate This Project

User Reviews

Be the first to post a review of Fast Gauss-Legendre Quadrature Rules!

Additional Project Details

Languages

English

Intended Audience

Developers, Education, Engineering, Financial and Insurance Industry, Science/Research

Programming Language

C++

Related Categories

C++ Mathematics Software

Registered

2014-03-13