Inner product quadratures
arXiv:1205.06011.25 citationsh-index: 2
Originality Incremental advance
AI Analysis
This work provides a new numerical integration method for inner products, potentially reducing computational cost in applications requiring such integrals.
The paper introduces an n-term quadrature for integrating inner products of n functions, contrasting with Gaussian quadrature which integrates 2n functions. It characterizes the quadrature, provides computational tools for its construction, and establishes its connection to Gaussian quadrature.
We introduce a n-term quadrature to integrate inner products of n functions, as opposed to a Gaussian quadrature to integrate 2n functions. We will characterize and provide computational tools to construct the inner product quadrature, and establish its connection to the Gaussian quadrature.