For the Adams-Bashforth and Adams-Moulton methods of order four, a. Show that if / = 0

Chapter 5, Problem 2

(choose chapter or problem)

For the Adams-Bashforth and Adams-Moulton methods of order four, a. Show that if / = 0, then F{thh, Wi+],w,+!_,) = 0. b. Show thatif /satisfies a Lipschitz condition with constant L, then a constant C exists with m h, Wi+U , w,+!_,) - F(ti, ll. Ui+I, . . . , Uj+lm) | \Wi+\-j - ul+|_;|.

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