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Table of Contents
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.
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.