Linear multistep method: Difference between revisions

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=== Example ===
Consider the Adams–Bashforth three-step method
:<math>y_{n+3} = y_{n+2} + h\left( {23\over 12} f(t_{n+2}, y_{n+2}) - {164 \over 123} f(t_{n+1}, y_{n+1}) + {5\over 12}f(t_{n}, y_{n})\right).</math>
The characteristic equation is thus
:<math>\rho(z)=z^3-z^2=z^2(z-1)\,</math>