A unified framework for asymptotic analysis and computation of finite Hankel transform

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:483

Article

Wang, Haiyong^1,2 

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

[2] Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Hubei, Peoples R China

关键词: Finite Hankel transform;    Oscillatory integrals;    Asymptotic expansion;    Extended complete Chebyshev system;    Modified Filon-type methods;   

DOI  :  10.1016/j.jmaa.2019.123640

来源: Elsevier

【 摘 要 】

In this paper we present a unified framework for asymptotic analysis of the finite Hankel transform. This framework enables us to derive asymptotic expansions of the transform, including the cases where the oscillator has zeros and stationary points. As a consequence, two efficient and affordable methods for computing the transform numerically are discussed and a detailed analysis of their asymptotic error estimate is carried out. Numerical examples are provided to confirm our analysis. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free