Reis T., Grundel S., Schöps S. (Eds.) Progress in Differential-Algebraic Equations II

Springer, 2020. — 486 p. — (Differential-Algebraic Equations Forum). — ISBN: 978-3-030-53905-4.This 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.A Projector Based Decoupling of DAEs Obtained from the Derivative Array
Basic Characteristics of Differential-Algebraic Operators
Inter/Extrapolation-Based Multirate Schemes: A Dynamic-Iteration Perspective
Least-Squares Collocation for Higher-Index DAEs: Global Approach and Attempts Toward 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
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
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 Elements for a Structural Analysis of Circuits
Singularities of the Robotic Arm DAE