Accuracy of mathematical models: dimension reduction, homogenization, and simplification (Record no. 54559)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01689 a2200241 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 210307b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783037192061 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511.8 |
| Item number | REP |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Repin, Sergey |
| 245 ## - TITLE STATEMENT | |
| Title | Accuracy of mathematical models: dimension reduction, homogenization, and simplification |
| 250 ## - EDITION STATEMENT | |
| Edition statement | Vol.33 |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher, distributor, etc | European Mathematical Society, |
| Date of publication, distribution, etc | 2020. |
| Place of publication, distribution, etc | Berlin: |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xvi, 313 p. : ill. ; |
| Other physical details | hb, |
| Dimensions | 25 cm, |
| 365 ## - TRADE PRICE | |
| Price type code | EURO |
| Price amount | 59.00 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical models |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Principles of Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Penalization |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Linearization |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Regularization |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Sauter, Stefan |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Copy number | Cost, replacement price | Koha item type | Public note |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | General | IIT Gandhinagar | IIT Gandhinagar | 05/03/2021 | Himanshu Books | 0.00 | 511.8 REP | 029991 | 05/03/2021 | 1 | 0.00 | Books | Currency: INR; Invoice no.: 120781; Invoice date: 02-03-2021 |
