Runge-Kutta Integrator Overview - All Purpose Numerical Integration of Differential Equations

This course teaches learners how to perform numerical integration of differential equations using the Runge-Kutta schemes. The learning outcomes include understanding and implementing 2nd-order and 4th-order accurate RK schemes (RK2 and RK4) through simple and intuitive steps. The course covers the geometric intuition behind the RK2 integrator and provides explanations with visuals. The teaching method involves a video lecture format. This course is intended for individuals interested in numerical methods for solving ordinary differential equations.