LEADER 04464nam 22006135 450 001 9910337821703321 005 20200706051845.0 010 $a3-030-15679-6 024 7 $a10.1007/978-3-030-15679-4 035 $a(CKB)4100000008493304 035 $a(DE-He213)978-3-030-15679-4 035 $a(MiAaPQ)EBC5921486 035 $a(PPN)258058889 035 $a(EXLCZ)994100000008493304 100 $a20190618d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn Introduction to Computational Science /$fby Allen Holder, Joseph Eichholz 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XVI, 470 p. 164 illus., 158 illus. in color.) 225 1 $aInternational Series in Operations Research & Management Science,$x0884-8289 ;$v278 311 $a3-030-15677-X 327 $aChapter 1. Solving Single Variable Equations -- Chapter 2. Solving Systems of Equations -- Chapter 3. Approximation -- Chapter 4. Optimization -- Chapter 5. Ordinary Di?erential Equations -- Chapter 6. Stochastic Methods & Simulation -- Chapter 7. Computing Considerations -- Chapter 8. Modeling with Matrices -- Chapter 9. Modeling with Ordinary Di?erential Equations -- Chapter 10. Modeling with Delayed Di?erential Equations -- Chapter 11. Partial Di?erential Equations -- Chapter 12. Modeling with Optimization and Simulation -- Chapter 13. Regression Modeling -- Appendix A. 330 $aThis textbook provides an introduction to the growing interdisciplinary field of computational science. It combines a foundational development of numerical methods with a variety of illustrative applications spread across numerous areas of science and engineering. The intended audience is the undergraduate who has completed introductory coursework in mathematics and computer science. Students gain computational acuity by authoring their own numerical routines and by practicing with numerical methods as they solve computational models. This education encourages students to learn the importance of answering: How expensive is a calculation, how trustworthy is a calculation, and how might we model a problem to apply a desired numerical method? The text is written in two parts. Part I provides a succinct, one-term inauguration into the primary routines on which a further study of computational science rests. The material is organized so that the transition to computational science from coursework in calculus, differential equations, and linear algebra is natural. Beyond the mathematical and computational content of Part I, students gain proficiency with elemental programming constructs and visualization, which are presented in MATLAB syntax. The focus of Part II is modeling, wherein students build computational models, compute solutions, and report their findings. The models purposely intersect numerous areas of science and engineering to demonstrate the pervasive role played by computational science. 410 0$aInternational Series in Operations Research & Management Science,$x0884-8289 ;$v278 606 $aOperations research 606 $aDecision making 606 $aManagement science 606 $aComputer mathematics 606 $aOperations Research/Decision Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/521000 606 $aOperations Research, Management Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M26024 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 615 0$aOperations research. 615 0$aDecision making. 615 0$aManagement science. 615 0$aComputer mathematics. 615 14$aOperations Research/Decision Theory. 615 24$aOperations Research, Management Science. 615 24$aComputational Science and Engineering. 676 $a004.0151 676 $a004 700 $aHolder$b Allen$4aut$4http://id.loc.gov/vocabulary/relators/aut$0976179 702 $aEichholz$b Joseph$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910337821703321 996 $aAn Introduction to Computational Science$92223525 997 $aUNINA