000			01689 a2200241 4500
999			_c54559 _d54559
008			210307b ||||| |||| 00| 0 eng d
020			_a9783037192061
082			_a511.8 _bREP
100			_aRepin, Sergey
245			_aAccuracy of mathematical models: dimension reduction, homogenization, and simplification
250			_aVol.33
260			_bEuropean Mathematical Society, _c2020. _aBerlin:
300			_axvi, 313 p. : ill. ; _bhb, _c25 cm,
365			_aEURO _b59.00
520			_aThe 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.
650			_aMathematical models
650			_aPrinciples of Mathematics
650			_aPenalization
650			_aLinearization
650			_aRegularization
700			_aSauter, Stefan
942			_2ddc _cTD