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Stability region of multistep method (Milne-Simpson's) watch

    • Thread Starter

    Hi, I'm trying to show that the stability region of this multistep method Name:  image.gif
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    is a line segment [-√3 i, √3 i]
    So far I've got
    π(λ,z)= λ² - 1 - /3 (λ² + 4λ + 1)
    = (1 - z/3)λ² + (-4z/3)λ + (-1 - z/3)
    I've tried solving for λ using the quadratic formula but haven't gotten anywhere
    Could anyone help me with how to go about doing this?
    Thank you in advance
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