Progress in Differential-Algebraic Equations II

图书简介

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.

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 AndModel Order Reduction.- Inter/Extrapolation-Based Multirate Schemes: A Dynamic-Iteration Perspective.- Least-Squares Collocation for Higher-Index Daes: Global Approach and Attempts Towardsa Time-Stepping Version.- Exponential Integrators for Semi-Linear Parabolic Problems with Linear Constraints.- Improvement of Rosenbrock-Wanner Method RODASP: Enhanced Coefficient Set And MATLAB Implementation.- Towards Model Reduction of Systems with Polynomial Nonlinearities 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 Daesand Bang-Bang Solutions.- Part 4 Applications.- Port–HamiltonianModeling of District Heating Networks.- Partially Mesoscopic Systems with Holonomic Constraints.- Generalized Circuit Elements.- Singularities of the Robotic Arm Problem.

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Progress in Differential-Algebraic Equations II（Differential-Algebraic Equations Forum） 微分代数方程的进展 II 数学史

Progress in Differential-Algebraic Equations II（Differential-Algebraic Equations Forum）

微分代数方程的进展 II
数学史