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On the power of adaption. (English) Zbl 0870.65042

The author compares optimal error bounds for adaptive and nonadaptive methods. He shows that a priori information about the problem strongly influences the type of better method and a small change can produce a different answer.

MSC:

65J05 General theory of numerical analysis in abstract spaces
65D32 Numerical quadrature and cubature formulas
65R20 Numerical methods for integral equations
65H05 Numerical computation of solutions to single equations
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