On the Role of Computable Error Estimates in the Analysis of Numerical Approximation Algorithms

Feng Gao

Chapter 36 in From Topology to Computation: Proceedings of the Smalefest, 1993, pp 387-394 from Springer

Abstract: Abstract Truncation error estimation for methods of numerical approximation, i.e., estimation of their errors of approximation, is an important constituent of numerical analysis. The error estimates obtained can be dichotomized according to whether an error estimate is computable from information that can be used for computing the approximations. For example, the standard error estimate for the bisection method for finding a zero of a function f(x) in an interval [a, b], under the assumption that f is continuous on [a, b] with f(a)f(b)

Keywords: Posteriori Error; Gaussian Measure; Error Criterion; Approximate Zero; Natural Spline (search for similar items in EconPapers)
Date: 1993
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DOI: 10.1007/978-1-4612-2740-3_36

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