LEADER 04732nam 22007215 450 001 9910299739803321 005 20200706125247.0 010 $a3-319-07671-X 024 7 $a10.1007/978-3-319-07671-3 035 $a(CKB)3710000000205415 035 $a(EBL)1783063 035 $a(OCoLC)889264102 035 $a(SSID)ssj0001295652 035 $a(PQKBManifestationID)11724588 035 $a(PQKBTitleCode)TC0001295652 035 $a(PQKBWorkID)11343891 035 $a(PQKB)11354739 035 $a(MiAaPQ)EBC1783063 035 $a(DE-He213)978-3-319-07671-3 035 $a(PPN)179923072 035 $a(EXLCZ)993710000000205415 100 $a20140722d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNumerical Methods and Optimization $eA Consumer Guide /$fby Éric Walter 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (485 p.) 300 $aDescription based upon print version of record. 311 $a3-319-07670-1 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aFrom Calculus to Computation -- Notation and Norms -- Solving Systems of Linear Equations -- Solving Other Problems in Linear Algebra -- Interpolation and Extrapolation -- Integrating and Differentiating Functions -- Solving Systems of Nonlinear Equations -- Introduction to Optimization -- Optimizing Without Constraint -- Optimizing Under Constraints -- Combinatorial Optimization -- Solving Ordinary Differential Equations -- Solving Partial Differential Equations -- Assessing Numerical Errors -- WEB Resources to go Further -- Problems. 330 $aInitial training in pure and applied sciences tends to present problem-solving as the process of elaborating explicit closed-form solutions from basic principles, and then using these solutions in numerical applications. This approach is only applicable to very limited classes of problems that are simple enough for such closed-form solutions to exist. Unfortunately, most real-life problems are too complex to be amenable to this type of treatment. Numerical Methods and Optimization ? A Consumer Guide presents methods for dealing with them. Shifting the paradigm from formal calculus to numerical computation, the text makes it possible for the reader to ·         discover how to escape the dictatorship of those particular cases that are simple enough to receive a closed-form solution, and thus gain the ability to solve complex, real-life problems; ·         understand the principles behind recognized algorithms used in state-of-the-art numerical software; <·         learn the advantages and limitations of these algorithms, to facilitate the choice of which pre-existing bricks to assemble for solving a given problem; and ·         acquire methods that allow a critical assessment of numerical results. Numerical Methods and Optimization ? A Consumer Guide will be of interest to engineers and researchers who solve problems numerically with computers or supervise people doing so, and to students of both engineering and applied math ematics.  . 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aComputer science?Mathematics 606 $aCalculus of variations 606 $aNumerical analysis 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aMath Applications in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/I17044 606 $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aComputer science?Mathematics. 615 0$aCalculus of variations. 615 0$aNumerical analysis. 615 14$aMathematical and Computational Engineering. 615 24$aMath Applications in Computer Science. 615 24$aCalculus of Variations and Optimal Control; Optimization. 615 24$aNumerical Analysis. 676 $a004.0151 676 $a501.511 676 $a515.64 676 $a518 700 $aWalter$b Éric$4aut$4http://id.loc.gov/vocabulary/relators/aut$0338773 906 $aBOOK 912 $a9910299739803321 996 $aNumerical Methods and Optimization$91954335 997 $aUNINA