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Multistep method

Characteristic polynomials of a linear multistep method

A linear multistep method has order $p$ exactly when
$$
\sum_j\alpha_jj^q=q\sum_j\beta_jj^{q-1}
$$
for $0\leq q\leq p$, with the right side interpreted as zero for $q=0$, and the identity first fails at $q=p+1$.


Order conditions for a linear multistep method

Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 341 / Section A / 1 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 341 / 2 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 341 / 6 / Solution

Order conditions for a linear multistep method

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Order conditions for a linear multistep method

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