Deterministic and stochastic error bounds in numerical analysis / Erich Novak

Auteur: Novak, Erich (1953-) - AuteurType de document: Livre numériqueCollection: Lecture notes in mathematics, (Online) ; 1349Langue: anglaisÉditeur: Berlin : Springer-Verlag, 1988 ISBN: 9783540503682 ISSN: 1617-9692Note: The author investigates various deterministic and stochastic error bounds in numerical analysis; he is mainly interested in problems of approximation, optimization, and integration. The framework of these computational problems is the information-centered approach. This approach asks for optimal methods and optimal error bounds corresponding to a given function class if only the available information is used. Different function classes are considered for both adaptive and nonadaptive methods. The main function classes are Lipschitz ones. ... (MathSciNet) Sujets MSC: 65Gxx Numerical analysis -- Error analysis and interval analysis
65C05 Numerical analysis -- Probabilistic methods, simulation and stochastic differential equations -- Monte Carlo methods
65Dxx Numerical analysis -- Numerical approximation and computational geometry (primarily algorithms)
65Kxx Numerical analysis -- Mathematical programming, optimization and variational techniques
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The author investigates various deterministic and stochastic error bounds in numerical analysis; he is mainly interested in problems of approximation, optimization, and integration. The framework of these computational problems is the information-centered approach. This approach asks for optimal methods and optimal error bounds corresponding to a given function class if only the available information is used. Different function classes are considered for both adaptive and nonadaptive methods. The main function classes are Lipschitz ones. ... (MathSciNet)

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