Journal of the Korean Mathematical Society (대한수학회지)
- Volume 33 Issue 2
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- Pages.235-247
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- 1996
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
AN ERROR OF SIMPONS'S QUADRATURE IN THE AVERAGE CASE SETTING
- Park, Sung-Hee (Department of Computer Science Sun Moon University) ;
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Hong, Bum-Il
(Department of Mathematics Kyung Hee University )
- Published : 1996.05.01
Abstract
Many numerical computations in science and engineering can only be solved approximately since the available infomation is partial. For instance, for problems defined ona space of functions, information about f is typically provided by few function values, $N(f) = [f(x_1), f(x_2), \ldots, f(x_n)]$. Knwing N(f), the solution is approximated by a numerical method. The error between the true and the approximate solutions can be reduced by acquiring more information. However, this increases the cost. Hence there is a trade-off between the error and the cost.