Backward Euler method

Backward Euler advances

y^{'} = f (t, y)

by

y_{n + 1} = y_{n} + h f (t_{n + 1}, y_{n + 1})

. Its stability function

R (z) = (1 - z)^{- 1}

makes it L-stable.

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Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 341 / Section B / 6 / Solution

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