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Deterministic and Stochastic Error Bounds in Numerical Analysis (Lecture Notes in Mathematics)
Erich Novak
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Description for Deterministic and Stochastic Error Bounds in Numerical Analysis (Lecture Notes in Mathematics)
Paperback. Investigates different deterministic and stochastic error bounds of numerical analysis. This book considers worst case error bounds and their relation to the theory of n-widths. It studies special problems such approximation, optimization, and integration for different function classes. It compares adaptive and nonadaptive methods. Series: Lecture Notes in Mathematics. Num Pages: 124 pages, biography. BIC Classification: PBCN; PBF; PBW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 236 x 156 x 13. Weight in Grams: 214.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
1988
Publisher
Springer
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
124
Place of Publication
Berlin, Germany
ISBN
9783540503682
SKU
V9783540503682
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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