LEADER 03799nam 22005775 450 001 9910338255303321 005 20200704024658.0 010 $a3-030-03718-5 024 7 $a10.1007/978-3-030-03718-5 035 $a(CKB)4100000008408967 035 $a(MiAaPQ)EBC5787881 035 $a(DE-He213)978-3-030-03718-5 035 $a(PPN)24282451X 035 $a(EXLCZ)994100000008408967 100 $a20190608d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aApplications of Differential-Algebraic Equations: Examples and Benchmarks /$fedited by Stephen Campbell, Achim Ilchmann, Volker Mehrmann, Timo Reis 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (324 pages) 225 1 $aDifferential-Algebraic Equations Forum,$x2199-7497 311 $a3-030-03717-7 327 $aGeneral Nonlinear Differential Algebraic Equations and Tracking Problems: A Robotics Example -- DAE Aspects in Vehicle Dynamics and Mobile Robotics -- Open-loop Control of Underactuated Mechanical Systems Using Servo-constraints: Analysis and Some Examples -- Systems of Differential Algebraic Equations in Computational Electromagnetics -- Gas Network Benchmark Models -- Topological Index Analysis Applied to Coupled Flow Networks -- Nonsmooth DAEs with Applications in Modeling Phase Changes -- Continuous, Semi-Discrete, and Fully Discretized Navier-Stokes Equations. 330 $aThis volume encompasses prototypical, innovative and emerging examples and benchmarks of Differential-Algebraic Equations (DAEs) and their applications, such as electrical networks, chemical reactors, multibody systems, and multiphysics models, to name but a few. Each article begins with an exposition of modelling, explaining whether the model is prototypical and for which applications it is used. This is followed by a mathematical analysis, and if appropriate, a discussion of the numerical aspects including simulation. Additionally, benchmark examples are included throughout the text. Mathematicians, engineers, and other scientists, working in both academia and industry either on differential-algebraic equations and systems or on problems where the tools and insight provided by differential-algebraic equations could be useful, would find this book resourceful. 410 0$aDifferential-Algebraic Equations Forum,$x2199-7497 606 $aDifferential equations 606 $aNumerical analysis 606 $aMathematical models 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 615 0$aDifferential equations. 615 0$aNumerical analysis. 615 0$aMathematical models. 615 14$aOrdinary Differential Equations. 615 24$aNumerical Analysis. 615 24$aMathematical Modeling and Industrial Mathematics. 676 $a515.35 676 $a515.352 702 $aCampbell$b Stephen$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aIlchmann$b Achim$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMehrmann$b Volker$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aReis$b Timo$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910338255303321 996 $aApplications of Differential-Algebraic Equations: Examples and Benchmarks$91668159 997 $aUNINA