In these notes different deterministic and stochastic error bounds of numerical analysis are investigated. For many computational problems we have only partial information (such as n function values) and consequently they can only be solved with uncertainty in the answer. Optimal methods and optimal error bounds are sought if only the type of information is indicated. First, worst case error bounds and their relation to the theory of n-widths are considered; special problems such approximation, optimization, and ...
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In these notes different deterministic and stochastic error bounds of numerical analysis are investigated. For many computational problems we have only partial information (such as n function values) and consequently they can only be solved with uncertainty in the answer. Optimal methods and optimal error bounds are sought if only the type of information is indicated. First, worst case error bounds and their relation to the theory of n-widths are considered; special problems such approximation, optimization, and integration for different function classes are studied and adaptive and nonadaptive methods are compared. Deterministic (worst case) error bounds are often unrealistic and should be complemented by different average error bounds. The error of Monte Carlo methods and the average error of deterministic methods are discussed as are the conceptual difficulties of different average errors. An appendix deals with the existence and uniqueness of optimal methods. This book is an introduction to the area and also a research monograph containing new results. It is addressd to a general mathematical audience as well as specialists in the areas of numerical analysis and approximation theory (especially optimal recovery and information-based complexity).
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Add this copy of Deterministic and Stochastic Error Bounds in Numerical to cart. $22.57, fair condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1988 by Springer.
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Volume 1349. This is an ex-library book and may have the usual library/used-book markings inside. This book has soft covers. In fair condition, suitable as a study copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 350grams, ISBN: 3540503684.
Add this copy of Deterministic and Stochastic Error Bounds in Numerical to cart. $27.00, very good condition, Sold by Munster & Company rated 5.0 out of 5 stars, ships from Corvallis, OR, UNITED STATES, published 1988 by Springer-Verlag.
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Very Good. Berlin, Heidelberg, New York: Springer-Verlag, 1988. 113 pp. 24 x 16.5 cm. Stiff paper wrappers printed in yellow and black. Very faint bump to head of spine. Mild to moderate age toning to text block; interior clean and unmarked. Binding firm with no creases or cracks. Soft Cover. Very Good.
Add this copy of Deterministic and Stochastic Error Bounds in Numerical to cart. $46.56, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 1988 by Springer.
Add this copy of Deterministic and Stochastic Error Bounds in Numerical to cart. $54.87, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1988 by Springer.
