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8 - Numerical Methods

Published online by Cambridge University Press:  02 April 2020

Joel Franklin
Joel Franklin
Affiliation:
Reed College, Oregon
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Summary

This chapter can be used as a six week “lab" component to a mathematical methods course, one section each week.The chapter is relatively self-contained, and consists of numerical methods that complement the analytic solutions found in the rest of the book.There are methods for solving ODE problems (both in initial and boundary value form) approximating integrals, and finding roots.There is also a discussion of the eigenvalue problem in the context of approximate solutions in quantum mechanics and a section on the discrete Fourier transform.

Keywords

Root findingVerletNumerical solution of ODEsSimpson’s methodFinite differenceEigenvalue problemDiscrete Fourier transformPower method
Type
Chapter
Information
Mathematical Methods for Oscillations and Waves , pp. 207 - 233
Publisher: Cambridge University Press
Print publication year: 2020

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  • Numerical Methods
  • Joel Franklin, Reed College, Oregon
  • Book: Mathematical Methods for Oscillations and Waves
  • Online publication: 02 April 2020
  • Chapter DOI: https://doi.org/10.1017/9781108769228.010
Available formats
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  • Numerical Methods
  • Joel Franklin, Reed College, Oregon
  • Book: Mathematical Methods for Oscillations and Waves
  • Online publication: 02 April 2020
  • Chapter DOI: https://doi.org/10.1017/9781108769228.010
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Numerical Methods
  • Joel Franklin, Reed College, Oregon
  • Book: Mathematical Methods for Oscillations and Waves
  • Online publication: 02 April 2020
  • Chapter DOI: https://doi.org/10.1017/9781108769228.010
Available formats
×