Intro to Scientific Computing
Adaptive step size refers to a method in numerical analysis where the size of the steps taken during the integration of differential equations is adjusted dynamically based on the local behavior of the solution. This approach aims to improve accuracy and efficiency by making smaller steps when the solution changes rapidly and larger steps when it varies slowly. It plays a crucial role in numerical methods like Runge-Kutta and in addressing boundary value problems, ensuring that solutions are both precise and computationally feasible.
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