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- Numerical evaluation of highly oSCIllatory Bessel transforms
- 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...
- Interval oSCIllation criteria for forced mixed nonlinear impulsive differential equations with variable delay
- APPLIED MATHEMATICS LETTERSZhou, Xiaoliang Wang, Wu-Sheng Chen, Ruyun 出版年：2018
- 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))...
- Computation of oSCIllatory integrals with an exponential kernel and Jacobi-type singularities
- 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...
- On evaluation of oSCIllatory transforms from position to momentum space
- 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 ...
- Numerical evaluation of oSCIllatory-singular integrals
- 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...
- Asymptotic expansion and quadrature rule for a class of singular-oSCIllatory-Bessel-type transforms
- 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...
- Numerical approximations of highly oSCIllatory Hilbert transforms
- 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:...
- On computation of finite-part integrals of highly oSCIllatory functions
- 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...
- On computation of high frequency Hankel transforms
- ALEXANDRIA ENGINEERING JOURNALGao, Jizhong Chen, Ruyun 出版年：2019
- 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 ...
- The Kamenev type interval oSCIllation criteria of mixed nonlinear impulsive differential equations under variable delay effects
- 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...
- Comment on 'Symbolic integration of aproduct of two spherical Bessel functions with an additional exponential and polynomial factor' by B. Gebremariam, T. Duguet and SK Bogner
- 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)(...
- On quadrature of highly oSCIllatory Bessel function via asymptotic analysis of simplex integrals
- 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...
- Numerical steepest descent method for computing oSCIllatory-type Bessel integral transforms☆
- MATHEMATICS AND COMPUTERS IN SIMULATIONChen, Ruyun Li, Yu Zhou, Yongxiong 出版年：2025
- In this paper, numerical steepest descent method is implemented to approximate highly oSCIllatory Bessel-type integral transforms. We begin our analysis by utilizing an important relationship between Bessel function of t...
- The Convergence Rate on a Quadrature of a Fourier Integral with Symmetrical Jacobi Weight for an Analytical Function
- SYMMETRY-BASELZhou, Yongxiong Chen, Ruyun 出版年：2022
- 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...
