October 2011
Beginner to intermediate
558 pages
16h 30m
English
book
The Essential Guide to Physics for Flash Games, Animation, and Simulations
by Dev Ramtal, Adrian Dobre
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Runge-Kutta integration
Runge-Kutta schemes are more complex than the Euler scheme, but they pay off in terms of considerably greater accuracy. If accuracy is critical for your simulation, you should seriously consider Runge-Kutta. It does come at a performance price, though, especially if you opt for the higher-order schemes. We'll describe two of the most popular Runge-Kutta schemes.
Second-order Runge-Kutta scheme (RK2)
The second-order Runge-Kutta method (RK2) is also known as Heun's method or the improved Euler method. It is a two-stage predictor-corrector method that uses the explicit Euler's method as predictor and a so-called trapezoidal method as corrector. Here are the equations defining the method:
The temporary variables p1, v1
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I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
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