Wow. What a fantastic video and teacher. You really nailed it. This should be the most recommended R-K Python/Matlab tutorial and explanation on RU-vid. The others don't match your level.
This video came right on time where I need to translate a pre existing epidemiological model from matlab to R where we are using ode45 to solve the ODEs! Thanks!
Great lecture and code to play around and work with. You mentioned stiff ode for a view videos, and google got me an okisch answer. But a video with some intuition what things might brake ode45 or potential potholes might come in handy.
Firstly, thanks. Secondly, I computed the trajectories using three methods, 1. Forward Euler, 2. RK2, and 3. RK4 of the chaotic system. Third, using the reference output from MATLAB's ode45, the RK2 had the most minor error value (used MATLAB's immse function to compute errors). Fourth, why so?
A quick question: how is climate a chaotic system? I understand the reference to Weather but I'm a little unclear on why climate would be chaotic. They are, after all, two different sorts of problems. Weather is an initial value problem, climate is a boundary value problem and one of the boundary values is pretty well understood: namely the insolation.
Is there any info on how these videos are made? Also, the derivation in Numerical Recipes is wrong but the code is correct. I assumed when I noticed this in 1990 that it is an error copied from book to book.
