8.3STABILITY OF NUMERICAL INTEGRATORS
We have seen a number of examples where digital simulation of a stable continuous-time system with a bounded input (or even no input with nonzero initial conditions) produced a sequence of numbers that grow without bound as time increases. The unstable conditions can be attributed to a combination of the numerical integrator and integration step size (for fixed-step integrators). Stability of fixed-step numerical integrators is reflected in the natural dynamics of the discrete-time system used to approximate the continuous-time system. The family of explicit multistep Adams–Bashforth integrators introduced in Section 6.4 is now examined in some detail.
8.3.1Adams–Bashforth Numerical Integrators
Difference ...
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