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advanced numerical methods and optimization for physics


๐Ÿ‘‰ integration and differentiation: numerical derivatives, error estimates, simpson's rule

๐Ÿ‘‰ ordinary differential equations: eulder and euler-cromer methods, verlet method

๐Ÿ‘‰ linear Aagebra and FFTs: time series for the damped driven pendulum, matrix inverse, conditional number

๐Ÿ‘‰ advection and Hhperbolic partial differential equations: implicit advection, lax wendroff, non-linear hyperbolic equations

๐Ÿ‘‰ elliptic partial differential equations

๐Ÿ‘‰ computational fluid dynamics: rayleigh-taylor instabilities