E-Book, Englisch, 486 Seiten, eBook
E-Book, Englisch, 486 Seiten, eBook
Reihe: Differential-Algebraic Equations Forum
ISBN: 978-3-030-53905-4
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Part 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.