Notes on Numerical Integration of ODEs
Explicit Euler versus fourth-order Runge-Kutta on a test equation, and why accuracy and stability are separate questions.
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numerical-methods
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What Makes a Simulation Trustworthy?
A short methodological note on verification, validation, and the limits of what a simulation can show.
Floating-Point Rounding in Long Simulations
A short methodological note on how finite precision, summation order and accumulated rounding error can matter in simulations that run for many steps.