LEADER 04248nam 22006375 450 001 9910863192403321 005 20251113194418.0 010 $a3-030-53905-9 024 7 $a10.1007/978-3-030-53905-4 035 $a(CKB)4100000011505377 035 $a(DE-He213)978-3-030-53905-4 035 $a(MiAaPQ)EBC6370709 035 $a(PPN)269152180 035 $a(EXLCZ)994100000011505377 100 $a20201010d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aProgress in Differential-Algebraic Equations II /$fedited by Timo Reis, Sara Grundel, Sebastian Schöps 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (X, 486 p. 57 illus., 49 illus. in color.) 225 1 $aDifferential-Algebraic Equations Forum,$x2199-840X 311 08$a3-030-53904-0 327 $aPart 1 Analysis and Decoupling -- A Projector Based Decoupling of Daes Obtained from the Derivative Array -- Basic Characteristics of Differential-Algebraic Operators -- Part 2 Numerical Methods and Model Order Reduction -- Inter/Extrapolation-Based Multirate Schemes: A Dynamic-Iteration Perspective -- Least-Squares Collocation for Higher-Index DAEs: Global Approach and Attempts Towards a Time-Stepping Version -- Exponential Integrators for Semi-Linear Parabolic Problems with Linear Constraints -- Improvement of Rosenbrock-Wanner Method RODASP -- Data-Driven Model Reduction for a Class of Semi-Explicit DAEs Using the Loewner Framework -- Part 3 Closed-Loop and Optimal Control -- Vector Relative Degree and Funnel Control for Differential-Algebraic Systems -- Observers for Differential-Algebraic Systems with Lipschitz or Monotone Nonlinearities -- Error Analysis for the Implicit Euler Discretization of Linear-Quadratic Control Problems with Higher Index DAEs and Bang?Bang Solutions -- Part 4 Applications -- Port-Hamiltonian Modeling of District Heating Networks -- Coupled Systems of Linear Differential-Algebraic and Kinetic Equations with Application to the Mathematical Modelling of Muscle Tissue -- Generalized Circuit Elements -- Singularities of the Robotic Arm DAE. 330 $aThis book contains articles presented at the 9th Workshop on Differential-Algebraic Equations held in Paderborn, Germany, from 17?20 March 2019. The workshop brought together more than 40 mathematicians and engineers from various fields, such as numerical and functional analysis, control theory, mechanics and electromagnetic field theory. The participants focussed on the theoretical and numerical treatment of ?descriptor? systems, i.e., differential-algebraic equations (DAEs). The book contains 14 contributions and is organized into four parts: mathematical analysis, numerics and model order reduction, control as well as applications. It is a useful resource for applied mathematicians with interest in recent developments in the field of differential algebraic equations but also for engineers, in particular those interested in modelling of constraint mechanical systems, thermal networks or electric circuits. 410 0$aDifferential-Algebraic Equations Forum,$x2199-840X 606 $aDifferential equations 606 $aNumerical analysis 606 $aComputer simulation 606 $aMathematical models 606 $aDifferential Equations 606 $aNumerical Analysis 606 $aComputer Modelling 606 $aMathematical Modeling and Industrial Mathematics 615 0$aDifferential equations. 615 0$aNumerical analysis. 615 0$aComputer simulation. 615 0$aMathematical models. 615 14$aDifferential Equations. 615 24$aNumerical Analysis. 615 24$aComputer Modelling. 615 24$aMathematical Modeling and Industrial Mathematics. 676 $a515.35 702 $aGrundel$b Sara 702 $aScho?ps$b Sebastian 702 $aReis$b Timo 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910863192403321 996 $aProgress in differential-algebraic equations II$92369391 997 $aUNINA