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• W2022230044 endingPage "202" @default.
• W2022230044 startingPage "181" @default.
• W2022230044 abstract "In this paper we are concerned with finite element approximations to the evaluation of American options. First, following W. Allegretto etc., SIAM J. Numer. Anal. 39 (2001), 834–857, we introduce a novel practical approach to the discussed problem, which involves the exact reformulation of the original problem and the implementation of the numerical solution over a very small region so that this algorithm is very rapid and highly accurate. Secondly by means of a superapproximation and interpolation postprocessing analysis technique, we present sharp L 2-, L ∞-norm error estimates and an H 1-norm superconvergence estimate for this finite element method. As a by-product, the global superconvergence result can be used to generate an efficient a posteriori error estimator." @default.
• W2022230044 created "2016-06-24" @default.
• W2022230044 creator A5002857417 @default.
• W2022230044 creator A5023320871 @default.
• W2022230044 creator A5081424240 @default.
• W2022230044 date "2009-06-01" @default.
• W2022230044 modified "2023-09-26" @default.
• W2022230044 title "Superconvergence estimates of finite element methods for American options" @default.
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• W2022230044 doi "https://doi.org/10.1007/s10492-009-0012-x" @default.
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