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Progress in Differential-Algebraic Equations II

2020-10-10 Mathematics
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Release : 2020-10-10
Genre : Mathematics
Kind : eBook
Book Rating : 059/5 ( reviews)

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Book Synopsis Progress in Differential-Algebraic Equations II by : Timo Reis

Download or read book Progress in Differential-Algebraic Equations II written by Timo Reis. This book was released on 2020-10-10. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Solving Ordinary Differential Equations II

2013-03-14 Mathematics
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Release : 2013-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 470/5 ( reviews)

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Book Synopsis Solving Ordinary Differential Equations II by : Ernst Hairer

Download or read book Solving Ordinary Differential Equations II written by Ernst Hairer. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: "Whatever regrets may be, we have done our best." (Sir Ernest Shackleton, turning back on 9 January 1909 at 88°23' South.) Brahms struggled for 20 years to write his first symphony. Compared to this, the 10 years we have been working on these two volumes may even appear short. This second volume treats stiff differential equations and differential alge braic equations. It contains three chapters: Chapter IV on one-step (Runge Kutta) methods for stiff problems, Chapter Von multistep methods for stiff problems, and Chapter VI on singular perturbation and differential-algebraic equations. Each chapter is divided into sections. Usually the first sections of a chapter are of an introductory nature, explain numerical phenomena and exhibit numerical results. Investigations of a more theoretieal nature are presented in the later sections of each chapter. As in Volume I, the formulas, theorems, tables and figures are numbered consecutively in each section and indicate, in addition, the section num ber. In cross references to other chapters the (latin) chapter number is put first. References to the bibliography are again by "author" plus "year" in parentheses. The bibliography again contains only those papers which are discussed in the text and is in no way meant to be complete.

Progress in Differential-Algebraic Equations

2014-11-30
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Release : 2014-11-30
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Kind : eBook
Book Rating : 271/5 ( reviews)

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Book Synopsis Progress in Differential-Algebraic Equations by : Sebastian Schops

Download or read book Progress in Differential-Algebraic Equations written by Sebastian Schops. This book was released on 2014-11-30. Available in PDF, EPUB and Kindle. Book excerpt:

Control and Optimization with Differential-Algebraic Constraints

2012-11-01 Mathematics
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Release : 2012-11-01
Genre : Mathematics
Kind : eBook
Book Rating : 248/5 ( reviews)

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Book Synopsis Control and Optimization with Differential-Algebraic Constraints by : Lorenz T. Biegler

Download or read book Control and Optimization with Differential-Algebraic Constraints written by Lorenz T. Biegler. This book was released on 2012-11-01. Available in PDF, EPUB and Kindle. Book excerpt: A cutting-edge guide to modelling complex systems with differential-algebraic equations, suitable for applied mathematicians, engineers and computational scientists.

Progress in Differential-Algebraic Equations

2014-11-13 Mathematics
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Release : 2014-11-13
Genre : Mathematics
Kind : eBook
Book Rating : 269/5 ( reviews)

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Book Synopsis Progress in Differential-Algebraic Equations by : Sebastian Schöps

Download or read book Progress in Differential-Algebraic Equations written by Sebastian Schöps. This book was released on 2014-11-13. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the 8th Workshop on Coupled Descriptor Systems held March 2013 in the Castle of Eringerfeld, Geseke in the neighborhood of Paderborn, Germany. It examines the wide range of current research topics in descriptor systems, including mathematical modeling, index analysis, wellposedness of problems, stiffness and different time-scales, cosimulation and splitting methods and convergence analysis. In addition, the book also presents applications from the automotive and circuit industries that show that descriptor systems provide challenging problems from the point of view of both theory and practice. The book contains nine papers and is organized into three parts: control, simulation, and model order reduction. It will serve as an ideal resource for applied mathematicians and engineers, in particular those from mechanics and electromagnetics, who work with coupled differential equations.

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