Effective potentials in nonlinear polycrystals and quadrature formulae
Sign Up to like & getrecommendations! Published in 2017 at "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences"
DOI: 10.1098/rspa.2017.0213
Abstract: This study presents a family of estimates for effective potentials in nonlinear polycrystals. Noting that these potentials are given as averages, several quadrature formulae are investigated to express these integrals of nonlinear functions of local… read more here.
Keywords: effective potentials; nonlinear polycrystals; quadrature formulae; potentials nonlinear ... See more keywords
Error estimates of Gaussian quadrature formulae with the third class of Bernstein-Szegő weights
Sign Up to like & getrecommendations! Published in 2017 at "Applicable Analysis and Discrete Mathematics"
DOI: 10.2298/aadm1702451p
Abstract: w(t) = wα,β,δ(t) = √ 1 + t 1− t β(β − 2α) t + 2δ(β − α) t+ α + δ , t ∈ (−1, 1), where 0 < α < β, β 6=… read more here.
Keywords: bernstein szeg; error; gaussian quadrature; class bernstein ... See more keywords