Perturbations : theory and methods

書誌事項

Perturbations : theory and methods

James A. Murdock

Wiley, c1991

大学図書館所蔵 件 / 33

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注記

"A Wiley-Interscience publication."

Includes bibliographical references

内容説明・目次

内容説明

This is a course in perturbation theory for the solution of algebraic and differential equations, especially ordinary differential equations. It covers all of the methods commonly used in both regular and singular perturbations: Taylor series, Lindstedt series, strained parameters, multiple scales, averaging, matching and WKB methods. The text pays great attention to understanding the meaning of the results, as it is extremely easy to make mistakes and draw invalid conclusions from a perturbation analysis.

目次

  • INTRODUCTION TO PERTURBATION THEORY
  • Root Finding
  • Regular Perturbations
  • Direct Error Estimation
  • OSCILLATORY PHENOMENA
  • Periodic Solutions and Lindstedt Series
  • Multiple Scales
  • Averaging
  • TRANSITION LAYERS
  • Initial Layers
  • Boundary Layers
  • Methods of the WKB Type
  • Appendices
  • Symbol Index
  • Index.

「Nielsen BookData」 より

詳細情報

  • NII書誌ID(NCID)
    BA12212338
  • ISBN
    • 0471612944
  • LCCN
    90012944
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York
  • ページ数/冊数
    xvi, 509 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
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