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--- gibson:juliablog:kuramoto_sivashinksy [2017/07/09 06:23]
gibson [The benchmark algorithm]
+++ gibson:juliablog:kuramoto_sivashinksy [2017/07/09 07:30] (current)
gibson
@@ Line 21: / Line 21: @@
 ==== The results ====
-First, the results. The left plot shows execution time of 3200 time steps of the algorithm as a function of $N_x$, the number of gridpoints in the Fourier decomposition. The dominant cost of the algorithm should be the FFTs
+**The left plot** shows execution time of 3200 time steps of the algorithm as a function of $N_x$, the number of gridpoints in the Fourier decomposition. The dominant cost of the algorithm should be the FFTs, which should scale as $N_x \log N_x$. All the codes use the same FFTW libraries, so ideally, they should all collapse onto the same $N_x \log N_x$ line as linear and fixed-size overheads costs decrease relative to that.
 {{:gibson:juliablog:cputime.png?400|}} {{:gibson:juliablog:timeloc.png?400|}}
 The right plot shows

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