LEADER 05229nam 22006975 450 001 9910299787103321 005 20200702002040.0 010 $a3-319-17689-7 024 7 $a10.1007/978-3-319-17689-5 035 $a(CKB)3710000000449530 035 $a(EBL)3567777 035 $a(SSID)ssj0001534800 035 $a(PQKBManifestationID)11820815 035 $a(PQKBTitleCode)TC0001534800 035 $a(PQKBWorkID)11513911 035 $a(PQKB)11224013 035 $a(DE-He213)978-3-319-17689-5 035 $a(MiAaPQ)EBC3567777 035 $a(PPN)187687005 035 $a(EXLCZ)993710000000449530 100 $a20150716d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNumerical Analysis and Optimization $eNAO-III, Muscat, Oman, January 2014 /$fedited by Mehiddin Al-Baali, Lucio Grandinetti, Anton Purnama 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (351 p.) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v134 300 $aDescription based upon print version of record. 311 $a3-319-17688-9 320 $aIncludes bibliographical references at the end of each chapters. 327 $aA Conic Representation of the Convex Hull of Disjunctive Sets and Conic Cuts for Integer Second Order Cone Optimization -- Runge?Kutta methods for ordinary differential equations -- A Positive Barzilai-Borwein-Like Stepsize and An Extension for Symmetric Linear Systems -- Necessary Optimality Conditions for the Control of Partial Integro-Differential Equations -- The AMPL Modeling Language?an Aid to Formulating and Solving Optimization Problems -- An Interior-Point L1-Penalty Method for Nonlinear Optimization -- An L1-Penalty Scheme for the Optimal Control of Elliptic Variational Inequalities -- Dynamics Characterization Based Geo-Statistical Prior Sampling -- Solving Multiscale Linear Programs Using the Simplex Method in Quadruple Precision -- Real and Integer Extended Rank Reduction Formulas and Matrix Decompositions: A Review -- Distributed Block Coordinate Descent for Minimizing Partially Separable Functions -- Models for Optimization of Power Systems -- On Chubanov?s Method for Solving a Homogeneous Inequality System. 330 $aPresenting the latest findings in the field of numerical analysis and optimization, this volume balances pure research with practical applications of the subject. Accompanied by detailed tables, figures, and examinations of useful software tools, this volume will equip the reader to perform detailed and layered analysis of complex datasets. Many real-world complex problems can be formulated as optimization tasks. Such problems can be characterized as large scale, unconstrained, constrained, non-convex, non-differentiable, and discontinuous, and therefore require adequate computational methods, algorithms, and software tools. These same tools are often employed by researchers working in current IT hot topics such as big data, optimization and other complex numerical algorithms on the cloud, devising special techniques for supercomputing systems. The list of topics covered include, but are not limited to: numerical analysis, numerical optimization, numerical linear algebra, numerical differential equations, optimal control, approximation theory, applied mathematics, algorithms and software developments, derivative free optimization methods and programming models. The volume also examines challenging applications to various types of computational optimization methods which usually occur in statistics, econometrics, finance, physics, medicine, biology, engineering and industrial sciences. 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v134 606 $aNumerical analysis 606 $aPartial differential equations 606 $aDifferential equations 606 $aMathematical optimization 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008 615 0$aNumerical analysis. 615 0$aPartial differential equations. 615 0$aDifferential equations. 615 0$aMathematical optimization. 615 14$aNumerical Analysis. 615 24$aPartial Differential Equations. 615 24$aOrdinary Differential Equations. 615 24$aOptimization. 676 $a510 702 $aAl-Baali$b Mehiddin$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aGrandinetti$b Lucio$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aPurnama$b Anton$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910299787103321 996 $aNumerical analysis and optimization$91522631 997 $aUNINA