user9707
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How do error estimates scale for multidimensional cubature?
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8 votes

Using product quadrature rules for multi-dimensional integrals suffers from the so-called curse of dimensionality. An $O(N^{-2})$ accurate rule using N evaluations in one-dimension is generally $O(N^{...

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Deriving the error bound for Bisection Method
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1 votes

The bisection method for finding the zeros of a continuous function $f$ begins with a selection of points $a_0 < b_0$ that bracket a zero. If $f(a_0)f(b_0) < 0$, then $f(a_0)$ and $f(b_0)$ ...

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