Deterministic and Stochastic Error Bounds in Numerical Analysis

Name: Deterministic and Stochastic Error Bounds in Numerical Analysis
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783540503682
Price: 783 CZK
Availability: InStock

Autor: Erich Novak

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Dostupnost: Skladem u dodavatele

Odesíláme za 10-18 dnů

783 Kč

In these notes different deterministic and stochastic error bounds of numerical analysis are investi...

Informace o knize

Autor

Erich Novak

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Stránek

124

EAN

9783540503682

ISBN

3540503684

Enbook ID

01565131

Vydavatel

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Hmotnost

454

Rozměry

156 x 236 x 13

Kompletní popis

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).

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také

Nejčastěji hledané

Categories

Authors

Publishers

Produkty

Produkty

Nejčastěji hledané

Categories

Authors

Publishers

Produkty

Produkty

Deterministic and Stochastic Error Bounds in Numerical Analysis

Informace o knize

Kompletní popis

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také