Question: (a) Define local error for a time stepping method. (b) Define global error for a time stepping method. (c) What is meant by a convergent

(a) Define local error for a time stepping method. (b) Define global error for a time stepping method. (c) What is meant by a convergent time stepping method? (d) If the global error en satisfies |Je, | | = O(h") as h -> 0, what is the order of convergence of the method? In particular, what is the order of the explicit Euler method, the implicit Euler method and the trapezoidal method

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