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 ...

Abstract. It is well-known that the remaining term of any 𝑛-point interpolatory quadrature rule such as Gauss-Legendre quadrature formula depends on at least an 𝑛-order derivative of the integrand ...

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 ...

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 ...

Rotary quadrature encoders often are used to command digital potentiometers or digital controllers, and quadrature decoding is typically performed in a programmable device (like an FPGA or ...