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Progress in Differential-Algebraic Equations II

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Progress in Differential-Algebraic Equations II/ edited by Timo Reis, Sara Grundel, Sebastian Schöps.
other author:	Reis, Timo.
Description:	X, 486 p. 57 illus., 49 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Differential equations. -
Online resource:	https://doi.org/10.1007/978-3-030-53905-4
ISBN:	9783030539054

Progress in Differential-Algebraic Equations II
Progress in Differential-Algebraic Equations II[electronic resource] /edited by Timo Reis, Sara Grundel, Sebastian Schöps. - 1st ed. 2020. - X, 486 p. 57 illus., 49 illus. in color.online resource. - Differential-Algebraic Equations Forum,2199-7497. - Differential-Algebraic Equations Forum,.

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.

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.

ISBN: 9783030539054

Standard No.: 10.1007/978-3-030-53905-4doiSubjects--Topical Terms:

527664
Differential equations.

LC Class. No.: QA372

Dewey Class. No.: 515.352

Progress in Differential-Algebraic Equations II
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505 0 $a 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.
520 $a 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.
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