🌌🛩 advanced numerical methods and optimization for physics

👉 integration and differentiation: numerical derivatives, error estimates, simpson's rule.

👉 ordinary differential equations: eulder and euler-cromer methods, verlet method.

👉 linear Aagebra and FFTs: time series for the damped driven pendulum, matrix inverse, conditional number.

👉 advection and Hhperbolic partial differential equations: implicit advection, lax wendroff, non-linear hyperbolic equations.

👉 elliptic partial differential equations.

👉 computational fluid dynamics: rayleigh-taylor instabilities.

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