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Accuracy of Mathematical Models = Di...

Repin, Sergey I.,

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Accuracy of Mathematical Models = Dimension Reduction, Homogenization, and Simplification /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Accuracy of Mathematical Models/ Sergey I. Repin, Stefan A. Sauter
Reminder of title:	Dimension Reduction, Homogenization, and Simplification /
Author:	Repin, Sergey I.,
other author:	Sauter, Stefan A.,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2020,
Description:	1 online resource (333 pages)
Subject:	Differential equations -
Online resource:	https://doi.org/10.4171/206
Online resource:	https://www.ems-ph.org/img/books/repin_mini.jpg
ISBN:	9783037197066

Accuracy of Mathematical Models = Dimension Reduction, Homogenization, and Simplification /
Repin, Sergey I.,

Accuracy of Mathematical ModelsDimension Reduction, Homogenization, and Simplification /[electronic resource] :Sergey I. Repin, Stefan A. Sauter - Zuerich, Switzerland :European Mathematical Society Publishing House,2020 - 1 online resource (333 pages) - EMS Tracts in Mathematics (ETM)33.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

The expansion of scientific knowledge and the development of technology are strongly connected with quantitative analysis of mathematical models. Accuracy and reliability are the key properties we wish to understand and control. This book presents a unified approach to the analysis of accuracy of deterministic mathematical models described by variational problems and partial differential equations of elliptic type. It is based on new mathematical methods developed to estimate the distance between a solution of a boundary value problem and any function in the admissible functional class associated with the problem in question. The theory is presented for a wide class of elliptic variational problems. It is applied to the investigation of modelling errors arising in dimension reduction, homogenization, simplification, and various conversion methods (penalization, linearization, regularization, etc.). A collection of examples illustrates the performance of error estimates.

ISBN: 9783037197066

Standard No.: 10.4171/206doiSubjects--Topical Terms:

704075
Differential equations

Accuracy of Mathematical Models = Dimension Reduction, Homogenization, and Simplification /
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520 $a The expansion of scientific knowledge and the development of technology are strongly connected with quantitative analysis of mathematical models. Accuracy and reliability are the key properties we wish to understand and control. This book presents a unified approach to the analysis of accuracy of deterministic mathematical models described by variational problems and partial differential equations of elliptic type. It is based on new mathematical methods developed to estimate the distance between a solution of a boundary value problem and any function in the admissible functional class associated with the problem in question. The theory is presented for a wide class of elliptic variational problems. It is applied to the investigation of modelling errors arising in dimension reduction, homogenization, simplification, and various conversion methods (penalization, linearization, regularization, etc.). A collection of examples illustrates the performance of error estimates.
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