Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (3): 691-698.

• Articles • Previous Articles     Next Articles

An Efficient Levin-type Collocation Method for Highly Oscillatory Integrals

  

  1. (1. Department of Mathematics, Central South University, |Changsha 410083|2. Department of Mathematics, Jishou University, Hunan Jishou 416000)
  • Received:2007-12-29 Revised:2009-01-08 Online:2009-06-25 Published:2009-06-25
  • Supported by:

    国家自然科学基金(10771218)和教育部``新世纪优秀人才支持计划''项目资助

Abstract:

This paper presents a new efficient Levin-type method, which can get higher accuracy than the Levin's collocation method and can be easily implemented. The effectiveness and accuracy of the quadrature are tested.

Key words: Oscillatory integral, Collocation method, Numerical analysis

CLC Number: 

  • 65D32
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