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8 - Numerical Methods
Joel Franklin, Reed College, Oregon
Book:

Mathematical Methods for Oscillations and Waves

Published online:

02 April 2020

Print publication:

05 March 2020, pp 207-233
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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.