LEADER 05291nam 22008175 450 001 9910254064203321 005 20200701213450.0 010 $a3-319-27836-3 024 7 $a10.1007/978-3-319-27836-0 035 $a(CKB)3710000000765121 035 $a(DE-He213)978-3-319-27836-0 035 $a(MiAaPQ)EBC6315118 035 $a(MiAaPQ)EBC5578816 035 $a(Au-PeEL)EBL5578816 035 $a(OCoLC)953828379 035 $a(PPN)194516431 035 $a(EXLCZ)993710000000765121 100 $a20160714d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Modelling /$fby Matti Heiliö, Timo Lähivaara, Erkki Laitinen, Timo Mantere, Jorma Merikoski, Seppo Pohjolainen, Kimmo Raivio, Risto Silvennoinen, Antti Suutala, Tanja Tarvainen, Timo Tiihonen, Jukka Tuomela, Esko Turunen, Marko Vauhkonen ; edited by Seppo Pohjolainen 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XI, 242 p. 56 illus., 13 illus. in color.) 311 $a3-319-27834-7 327 $a1 Introduction by S. Pohjolainen and M. Heiliö -- 2 Models and Applications by M. Heiliö -- 3 Viewpoints on Systems and Models by E. Laitinen -- 4 Integer Models by R. Silvennoinen and J. Merikoski -- 5 Data Based Models by J. Merikoski et al -- 6 Soft Computing Methods by E. Turunen et al -- 7 Dimensional Analysis by T. Tiihonen -- 8 Modelling With Differential Equations by J. Tuomela -- 9 Continuum Models by T. Tiihonen -- 10 Simplification of Models by T. Tiihonen -- 11 Acoustic Modelling by S. Pohjolainen and A. Suutala -- 12 Inverse Problems by M. Vauhkonen et al -- 13 Project Titles by M. Heiliö. . 330 $aThis book provides a thorough introduction to the challenge of applying mathematics in real-world scenarios. Modelling tasks rarely involve well-defined categories, and they often require multidisciplinary input from mathematics, physics, computer sciences, or engineering. In keeping with this spirit of modelling, the book includes a wealth of cross-references between the chapters and frequently points to the real-world context. The book combines classical approaches to modelling with novel areas such as soft computing methods, inverse problems, and model uncertainty. Attention is also paid to the interaction between models, data and the use of mathematical software. The reader will find a broad selection of theoretical tools for practicing industrial mathematics, including the analysis of continuum models, probabilistic and discrete phenomena, and asymptotic and sensitivity analysis. . 606 $aMathematical models 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aComputer science$xMathematics 606 $aComputer simulation 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aSimulation and Modeling$3https://scigraph.springernature.com/ontologies/product-market-codes/I19000 615 0$aMathematical models. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aComputer science$xMathematics. 615 0$aComputer simulation. 615 14$aMathematical Modeling and Industrial Mathematics. 615 24$aMathematical and Computational Engineering. 615 24$aComputational Science and Engineering. 615 24$aSimulation and Modeling. 676 $a511.8 700 $aHeiliö$b Matti$4aut$4http://id.loc.gov/vocabulary/relators/aut$0897054 702 $aLähivaara$b Timo$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aLaitinen$b Erkki$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aMantere$b Timo$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aMerikoski$b Jorma$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aPohjolainen$b Seppo$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aRaivio$b Kimmo$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSilvennoinen$b Risto$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSuutala$b Antti$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aTarvainen$b Tanja$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aTiihonen$b Timo$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aTuomela$b Jukka$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aTurunen$b Esko$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aVauhkonen$b Marko$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aPohjolainen$b Seppo$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254064203321 996 $aMathematical Modelling$92004333 997 $aUNINA