03799nam 22005775 450 991033825530332120200704024658.03-030-03718-510.1007/978-3-030-03718-5(CKB)4100000008408967(MiAaPQ)EBC5787881(DE-He213)978-3-030-03718-5(PPN)24282451X(EXLCZ)99410000000840896720190608d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierApplications of Differential-Algebraic Equations: Examples and Benchmarks /edited by Stephen Campbell, Achim Ilchmann, Volker Mehrmann, Timo Reis1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (324 pages)Differential-Algebraic Equations Forum,2199-74973-030-03717-7 General 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.This 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.Differential-Algebraic Equations Forum,2199-7497Differential equationsNumerical analysisMathematical modelsOrdinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Mathematical Modeling and Industrial Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M14068Differential equations.Numerical analysis.Mathematical models.Ordinary Differential Equations.Numerical Analysis.Mathematical Modeling and Industrial Mathematics.515.35515.352Campbell Stephenedthttp://id.loc.gov/vocabulary/relators/edtIlchmann Achimedthttp://id.loc.gov/vocabulary/relators/edtMehrmann Volkeredthttp://id.loc.gov/vocabulary/relators/edtReis Timoedthttp://id.loc.gov/vocabulary/relators/edtBOOK9910338255303321Applications of Differential-Algebraic Equations: Examples and Benchmarks1668159UNINA