Perturbations : theory and methods

Bibliographic Information

Perturbations : theory and methods

James A. Murdock

Wiley, c1991

Available at  / 33 libraries

Search this Book/Journal

Note

"A Wiley-Interscience publication."

Includes bibliographical references

Description and Table of Contents

Description

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.

Table of Contents

  • 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.

by "Nielsen BookData"

Details

  • NCID
    BA12212338
  • ISBN
    • 0471612944
  • LCCN
    90012944
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    xvi, 509 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
Page Top