Zobrazeno 1 - 10
of 118
pro vyhledávání: '"Xuli Han"'
Publikováno v:
Algorithms, Vol 13, Iss 9, p 231 (2020)
In this paper, we exploit an numerical method for solving second order differential equations with boundary conditions. Based on the theory of the analytic solution, a series of spline functions are presented to find approximate solutions, and one of
Externí odkaz:
https://doaj.org/article/9a737f12aa8c4fe8ab808a5e6d6ba9aa
Publikováno v:
Applied Sciences, Vol 9, Iss 16, p 3389 (2019)
Aspect-based sentiment classification (ABSC) aims to predict sentiment polarities of different aspects within sentences or documents. Many previous studies have been conducted to solve this problem, but previous works fail to notice the correlation b
Externí odkaz:
https://doaj.org/article/f7cfd3492a304223abacd5a24e10b753
Publikováno v:
Journal of Applied Mathematics, Vol 2014 (2014)
Four new quartic rational Said-Ball-like basis functions, which include the cubic Said-Ball basis functions as a special case, are constructed in this paper. The new basis is applied to generate a class of C1 continuous quartic rational Hermite inter
Externí odkaz:
https://doaj.org/article/337f8ad1f1624a95a248f91797a281f2
Autor:
Xuli Han, Yuanpeng Zhu
Publikováno v:
Journal of Applied Mathematics, Vol 2014 (2014)
Within the general framework of Quasi Extended Chebyshev space, we prove that the cubic trigonometric Bézier basis with two shape parameters λ and μ given in Han et al. (2009) forms an optimal normalized totally positive basis for λ,μ∈(-2,1].
Externí odkaz:
https://doaj.org/article/2ca6a1c382924ef183b46d141515c8f4
Autor:
Xuli Han
Publikováno v:
The Scientific World Journal, Vol 2014 (2014)
A symmetric basis of trigonometric polynomial space is presented. Based on the basis, symmetric trigonometric polynomial approximants like Bernstein polynomials are constructed. Two kinds of nodes are given to show that the trigonometric polynomial s
Externí odkaz:
https://doaj.org/article/f3266dcfdf6b4a64b06f220beef212d6
Publikováno v:
Journal of Applied Mathematics, Vol 2013 (2013)
Proper orthogonal decomposition is a popular approach for determining the principal spatial structures from the measured data. Generally, model reduction using empirical eigenfunctions (EEFs) can generate a relatively low-dimensional model among all
Externí odkaz:
https://doaj.org/article/a663f733a3624717a1a6ddf3d2a149c5
Publikováno v:
Calcolo. 59
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cc861066ef1b1e35df562914df02604a
https://doi.org/10.1007/s10092-022-00487-0
https://doi.org/10.1007/s10092-022-00487-0
Publikováno v:
Mathematics and Computers in Simulation. 185:372-383
Based on the diagonally compensated reduction, the preconditioned progressive iterative approximation (PPIA) for tensor product Bezier patches is presented. Due to the effectiveness of the preconditioner, the convergence rate of progressive iterative
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e9cadb842a2f928be3fba11b0ba125f
https://doi.org/10.1016/j.matcom.2021.01.002
https://doi.org/10.1016/j.matcom.2021.01.002
Publikováno v:
Engineering Analysis with Boundary Elements. 126:161-168
In this paper, we propose several iterative formats for quasi-interpolation by using positive definite radial basis functions. Firstly, we present the methodology of approximate interpolation, and then employ the diagonally compensated reduction to p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d66ba08e6e8de801a417f810799f7742
https://doi.org/10.1016/j.enganabound.2021.03.001
https://doi.org/10.1016/j.enganabound.2021.03.001
$$C^2$$ Tension Splines Construction Based on a Class of Sixth-Order Ordinary Differential Equations
Publikováno v:
Bulletin of the Iranian Mathematical Society. 48:127-150
In this work, we construct a class of Hermite-type interpolation basis functions based on the sixth-order ordinary differential equation $${S^{(6)}}(\mathrm{{t}}) - {\tau }^4{S^{(2)}}(t) = 0$$ . Using them, we propose a kind of $$C^2$$ tension interp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::94e31695cf79fe55512dfad072efb04b
https://doi.org/10.1007/s41980-020-00505-3
https://doi.org/10.1007/s41980-020-00505-3