Lecture 30

Runge-Kutta Methods

I gave a general formula for the Runge-Kutta methods and we saw that all of our numerical ODE solver's, excepting the Taylor methods, follow the Runge-Kutta mold.

Adaptive Methods

As we saw in our study of numerical integration formula, the use of variable step sizes adaptively on an ODE problem leads gains in efficiency and accuracy. Examples of adaptive ODE solvers are Matlab's ode23 and ode45.

Posted: Fri - November 17, 2006 at 10:08 AM

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Lecture 30

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