Lecture 6: =1=Truncation Error, Consistency, and Convergence
Lecture 6: =1=Truncation Error, Consistency, and Convergence
Lecture 6: =1=Truncation Error, Consistency, and Convergence
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Local truncation errorThis means that the truncation error is determined bye λh − Q(λh).For this, we need two things:1 The Taylor series for e λhe λh = 1+hλ+ 1 2! (hλ)2 + 1 3! (hλ)3 +· · · =r−1 ∑i=02 Q(λh), which is given by the numerical method.1i! (hλ)i +O(h r )() Truncation <strong>Error</strong>, <strong>Consistency</strong>, <strong>and</strong> <strong>Convergence</strong> 8 October 2012 16 / 54
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