6533b827fe1ef96bd1286416

RESEARCH PRODUCT

Rational Hermite Interpolation and Quadrature

Claus Schneider

subject

Physics::Computational PhysicsCubic Hermite splineHermite splineChebyshev–Gauss quadratureHermite interpolationMonotone cubic interpolationApplied mathematicsBirkhoff interpolationComputer Science::Numerical AnalysisGauss–Kronrod quadrature formulaMathematics::Numerical AnalysisMathematicsClenshaw–Curtis quadrature

description

Rational Hermite interpolation is used in two different ways in order to derive and analyze quadrature rules. One approach yields quadratures of Gaussian-type whereas the other one generalizes Engels’ dual quadratures exhibiting the close connection between rational Hermite interpolation and quadrature in general.

https://doi.org/10.1007/978-3-0348-6338-4_26