JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICSChen, Ruyun Yang, Gang 出版年：2018
In this paper we mainly focus on numerical evaluation of highly oscillatory Bessel transforms. Based on the multiple integral, the schemes for computing this class of the transform are presented. By means of the bounds o...
In this paper, the interval qualitative properties of a class of mixed nonlinear impulsive differential equations are studied. Under the hypothesis of delay sigma(t) being variable, the ratio of functions x(t - sigma(t))...
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONSChen, Ruyun Yu, Di Chen, Juan 出版年：2021
In this communication two rules are considered for computing oscillatory integrals with an exponential kernel and Jacobi-type singularities. An asymptotic rule is presented with the aid of integration by parts. An asympt...
APPLIED MATHEMATICS AND COMPUTATIONChen, Ruyun Xiang, Shuhuang Kuang, Xuesong 出版年：2019
Based on the relation between the multiple integral and simple integral, we propose an asymptotic rule for computing the oscillatory Bessel transforms from position to momentum space. We begin our analysis by evaluating ...
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICSYang, Gang Yao, Luogen Chen, Ruyun 出版年：2019
In this paper, we consider an asymptotic Filon-type method for computing the oscillatory Cauchy principal value integrals and end-point oscillatory-singular integrals. The method is constructed by using a Lagrange interp...
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICSChen, Ruyun Yu, Di Chen, Juan 出版年：2021
In this paper we mainly focus on the asymptotic expansion and quadrature rule for a class of singular-oscillatory-Bessel-type transforms. The asymptotic expansion in inverse powers of the frequency omega is obtained afte...
COMPUTATIONAL & APPLIED MATHEMATICSChen, Ruyun Yu, Di Chen, Juan 出版年：2020
In this paper, we are concerned with the numerical approximations of one-sided Hilbert transforms with oscillatory kernel by means of the multiple integrals. This type of Hilbert transform has two computing difficulties:...
In this paper, we consider to compute high frequency Hankel transforms numerically. An asymptotic quadrature rule is derived based on the variable upper bound integrals. The scheme is verified to be effective by testing ...
ADVANCES IN DIFFERENCE EQUATIONSZhou, Xiaoliang Liu, Changdong Chen, Ruyun 出版年：2019
In this paper, a class of mixed nonlinear impulsive differential equations is studied. When the delay sigma(t) is variable, each given interval is divided into two parts on which the quotients of x(t-sigma(t)) and x(t) a...
In this paper, through complex analysis, the convergence rate is given on a quadrature of a Fourier integral with symmetrical Jacobi weight. The interpolation nodes of this quadrature formula are expressed by the frequen...
COMPUTER PHYSICS COMMUNICATIONSChen, Ruyun Chen, Juan Kuang, Xuesong 出版年：2023
In [1], Gebremariam et al. presented a Mathematica package that performs the symbolic computation of the integral integral(infinity)(0) e(-x/u)x(n) j(mu)(x) j(nu) (x)dx for some specific values n, mu and nu, where j(mu)(...
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICSZhou, Yongxiong Chen, Ruyun 出版年：2025
In this article, two methods for evaluating highly oscillatory Bessel integrals are explored. Firstly, a polynomial is analyzed as an effective approximation of the simplex integral of a highly oscillatory Bessel functio...
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICSChen, Ruyun Li, Yu Zhou, Yongxiong 出版年：2025
In this paper, we propose some methods to compute finite-part integral involving hypersingular and highly oscillatory factors. We first write the integral as the Cauchy principle value integral which is computed based on...
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