Zobrazeno 1 - 10
of 143
pro vyhledávání: '"Shuhuang Xiang"'
Publikováno v:
Symmetry, Vol 12, Iss 5, p 716 (2020)
Applying the aliasing asymptotics on the coefficients of the Chebyshev expansions, the convergence rate of Clenshaw–Curtis quadrature for Jacobi weights is presented for functions with algebraic endpoint singularities. Based upon a new constructed
Externí odkaz:
https://doaj.org/article/992d18cfb9ed4a28be3f3c66c58d17a1
Publikováno v:
Mathematics, Vol 7, Iss 10, p 872 (2019)
This paper aims to present a Clenshaw−Curtis−Filon quadrature to approximate thesolution of various cases of Cauchy-type singular integral equations (CSIEs) of the second kind witha highly oscillatory kernel function. We adduce that the zero case
Externí odkaz:
https://doaj.org/article/70c950411d8749cf9d4097d97cfaea2f
Autor:
SAIRA, Shuhuang Xiang
Publikováno v:
Symmetry, Vol 11, Iss 6, p 728 (2019)
In this paper, a fast and accurate numerical Clenshaw-Curtis quadrature is proposed for the approximation of highly oscillatory integrals with Cauchy and logarithmic singularities, ⨍ − 1 1 f ( x ) log ( x − α ) e i k x x − t d x , t ∉ (
Externí odkaz:
https://doaj.org/article/658e4f05f4354ea5b3a3d1dd8e47d133
Publikováno v:
Symmetry, Vol 11, Iss 2, p 168 (2019)
In this paper, we present two kinds of Hermite-type collocation methods for linear Volterra integral equations of the second kind with highly oscillatory Bessel kernels. One method is direct Hermite collocation method, which used direct two-points He
Externí odkaz:
https://doaj.org/article/1749c2ed449f4c4ab8efbbdfcb8e779a
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
Based upon the fast computation of the coefficients of the interpolation polynomials at Chebyshev-type points by FFT, together with the efficient evaluation of the modified moments by forward recursions or by Oliver’s algorithms, this paper present
Externí odkaz:
https://doaj.org/article/18693cd532cb404fa61ca6a616fea83a
Publikováno v:
Optimization Methods and Software. 38:412-433
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::82b5cfcf673a68348bf8a297334da252
https://doi.org/10.1080/10556788.2022.2142583
https://doi.org/10.1080/10556788.2022.2142583
Autor:
Jiangli Liang, Shuhuang Xiang
Publikováno v:
Computers & Mathematics with Applications. 118:237-247
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c99566e2d82a912bda9c857c9a75279
https://doi.org/10.1016/j.camwa.2022.05.015
https://doi.org/10.1016/j.camwa.2022.05.015
Autor:
Shuhuang Xiang, Qingyang Zhang
Publikováno v:
Applied Mathematics and Computation. 456:128112
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33f29dcc61f2c5af3a78210dc0cb024a
https://doi.org/10.1016/j.amc.2023.128112
https://doi.org/10.1016/j.amc.2023.128112
Autor:
Yinkun Wang, Shuhuang Xiang
Publikováno v:
Mathematics of Computation. 91:1893-1923
In this paper, augmented Levin methods are proposed for the computation of oscillatory integrals with stationary points and an algebraically or logarithmically singular kernel. Different from the conventional Levin method, to overcome the difficultie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d618b484d867b70dff01dc05db6ca12
https://doi.org/10.1090/mcom/3725
https://doi.org/10.1090/mcom/3725
Autor:
Jiangli Liang, Shuhuang Xiang
Publikováno v:
Numerical Algorithms.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b88d33ac9b047229d9adfd50a1ea9561
https://doi.org/10.1007/s11075-022-01481-x
https://doi.org/10.1007/s11075-022-01481-x