Erickson’s Reviews > Computational Physics > Status Update

The principles of Gaussian quadrature are interesting. Also the footnote on more complicated techniques such as Clenshaw-Curtis and Gauss-Kronrod rules was helpful. It seems, however, that so long as I am using Mathematica at the moment, basic integration (not huge calculations for clusters etc.) is better done by Mathematica.

Tomorrow's exercise: implementing Romberg integration rule.

Error estimation of Simpson's rule and trapezoid rule, first time I saw it explicitly.

Finished Chapter 4; the examples are easy enough that I don't see the need to do it explicitly. An interesting refresher about accuracy and error, and how to estimate the number of operations to be reasonable time. TLDR for speed: ~ 1 billion operations is reasonable time.

Too oddly long time to do Mandelbrot set.

Skipped animation section. Before going to next chapter, try the logistic map and Mandelbrot set.

Started Chapter 3, skipped scatter plot. The 2D contour plot I will focus on just producing interference pattern tomorrow.

Finished the basics in Chapter 2. Glad to see that I can still do prime factorization code.

For subsequent chapters I will be selective somewhat, but try to learn the essence of everything (but less complete).

User-defined functions.

"For" loop.