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On evaluation of oscillatory transforms from position to momentum space

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  • Chen, Ruyun
  • Xiang, Shuhuang
  • Kuang, Xuesong

Abstract

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 the generalized moments. Next, we introduce the schemes of the rule in detail. In order to demonstrate the efficiency of the rule, some numerical examples based on theoretical results are presented.

Suggested Citation

  • Chen, Ruyun & Xiang, Shuhuang & Kuang, Xuesong, 2019. "On evaluation of oscillatory transforms from position to momentum space," Applied Mathematics and Computation, Elsevier, vol. 344, pages 183-190.
    • Handle: RePEc:eee:apmaco:v:344-345:y:2019:i::p:183-190
    DOI: 10.1016/j.amc.2018.10.017
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    References listed on IDEAS

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    1. Irfan, Nagma & Siddiqi, A.H., 2016. "A novel computational hybrid approach in solving Hankel transform," Applied Mathematics and Computation, Elsevier, vol. 281(C), pages 121-129.
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    Cited by:

    1. Wang, Hong & Kang, Hongchao & Ma, Junjie, 2024. "An efficient and accurate numerical method for the Bessel transform with an irregular oscillator and its error analysis," Applied Mathematics and Computation, Elsevier, vol. 473(C).

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