Kelvin’s method of stationary phase?

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-12-24 DOI:10.1016/j.wavemoti.2024.103481

P.A. Martin

引用次数: 0

Abstract

The method of stationary phase is a standard technique for estimating the value of an oscillatory integral when a certain parameter in the integrand becomes large. The basic method was sketched in 1887 by Sir William Thomson (before he became Lord Kelvin) in a short paper, and applied by him to problems in the theory of linear water waves. The contents, context and consequences of his paper are discussed. Inevitably, earlier authors (such as Stokes and Riemann) could stake claims on the method, but we leave it to the reader to decide, based on the evidence presented.

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开尔文定相法？

当被积函数中某一参数变大时，定相法是估计振荡积分值的一种标准方法。1887年，威廉·汤姆森爵士（在成为开尔文勋爵之前）在一篇简短的论文中概述了基本方法，并将其应用于线性水波理论中的问题。讨论了论文的内容、背景和意义。不可避免的是，早期的作者（如Stokes和Riemann）可以对这种方法提出主张，但我们把它留给读者根据所提供的证据来决定。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Wave Motion 物理-力学

CiteScore

4.10

自引率

8.30%

发文量

118

审稿时长

3 months

期刊介绍： Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.