Quadrature rules are mathematical techniques used to approximate the definite integral of a function. They are essential in numerical analysis and scientific computing, particularly when dealing with ...

For analytic functions we study the remainder terms of Gauss quadrature rules with respect to Bernstein-Szegő weight functionsw(t)=wα,β,δ(t)=1+t1−tβ(β−2α)t2+2δ(β−2α)t+α2+δ2,t∈(−1,1),where 0 < 𝛼 < 𝛽, ...

An important part of the marginal maximum likelihood method described previously is the computation of the integral over the random effects. The default method in PROC NLMIXED for computing this ...

SIAM Journal on Numerical Analysis, Vol. 51, No. 3 (2013), pp. 1443-1469 (27 pages) This paper provides a rigorous and delicate analysis for exponential decay of Jacobi polynomial expansions of ...

Many motors offer a quadrature encoder that give feedback on whether, and in which direction, the motor shaft is moving. But if you’re clever about analyzing the data you can use a quadrature encoder ...