Aug 19, 2017

Write down the connection between the coefficients ck in Section 13.3 and the coefficients for the real representation ak and bk of Section 13.2.

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1. Write down the connection between the coefficients ck in Section 13.3 and the coefficients for the real representation ak and bk of Section 13.2.

2. Repeat the calculations of Examples 13.4 and 13.5 using the MATLAB function fft.

Examples 13.4

Consider the function

on the interval [−1,2].

Examples 13.5

Continuing Example 13.4, with the prospect of spectral accuracy it is natural to ask why, then, does the error in Figure 13.4 behave like that of a second order method?



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