Symmetry and integration methods for differential equations

書誌事項

Symmetry and integration methods for differential equations

George W. Bluman, Stephen C. Anco

(Applied mathematical sciences, v. 154)

Springer, c2002

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

This text discusses Lie groups of transformations and basic symmetry methods for solving ordinary and partial differential equations. It places emphasis on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This new edition covers contact transformations, Lie-B cklund transformations, and adjoints and integrating factors for ODEs of arbitrary order.

目次

Introduction * Dimensional Analysis, Modeling, and Invariance * Lie Groups of Transformations and Infinitesimal Transformations * Ordinary Differential Equations (ODEs) * Partial Differential Equations (PDEs) * References * Author Index * Subject Index

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詳細情報
  • NII書誌ID(NCID)
    BA58297521
  • ISBN
    • 0387986545
  • LCCN
    2001054908
  • 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
    x, 419 p.
  • 大きさ
    24 cm
  • 分類
  • 親書誌ID
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