On Computable Bounds of Modeling Errors

S. Repin () and T. Samrowski ()
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S. Repin: V.A. Steklov Institute of Mathematics
T. Samrowski: Zurich University, Institute of Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 53-61 from Springer

Abstract: Abstract We give an overview of results related to computable and guaranteed bounds of modeling errors derived with the help of a posteriori estimates of the functional type and discuss estimates of errors arising in dimension reduction, defeaturing (simplification) of highly structured models, and homogenization.

Keywords: Computable Bound; Dimension Reduction Model; Adaptive Numerical Scheme; Diffusion-type Problems; Arbitrary Vector-valued Function (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_6

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DOI: 10.1007/978-3-642-33134-3_6

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