Error analysis of the Tau Method: Dependence of the error on the degree and on the length of the interval of approximation
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Abstract In this paper, we discuss the dependence of Tau Method approximations on (i) the degree of approximant n and (ii) the length of the interval of approximation h . We shall show that the Tau Method parameters τ i (i) decay exponentially in terms of n and (ii) for a fixed n they decay in terms of h as ( h /2) n .
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