Math — Numerical Solution of ODEs
Euler and Runge–Kutta stepping.
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y_{n+1} = y_n + h\,f(x_n, y_n) \;\text{(Euler)}
\text{RK4: weighted average of 4 slopes}
\text{Euler local error } O(h^2)
\text{smaller } h \Rightarrow \text{more accurate}