Volker Mehrmann - Böcker
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12 produkter
12 produkter
541 kr
Skickas inom 5-8 vardagar
This volume encompasses prototypical, innovative and emerging examples and benchmarks of Differential-Algebraic Equations (DAEs) and their applications, such as electrical networks, chemical reactors, multibody systems, and multiphysics models, to name but a few.
Del 2357 - Lecture Notes in Mathematics
Recent Stability Issues for Linear Dynamical Systems
Cetraro, Italy 2021
Häftad, Engelska, 2024
802 kr
Skickas inom 7-10 vardagar
This book concerns matrix nearness problems in the framework of spectral optimization. It addresses some current research directions in spectral-based stability studies for differential equations, with material on ordinary differential equations (ODEs), differential algebraic equations and dynamical systems. Here, ‘stability’ is interpreted in a broad sense which covers the need to develop stable and reliable algorithms preserving some qualitative properties of the computed solutions, methodologies which are helpful to assess the onset of potential instabilities or loss of robustness, and tools to determine the asymptotic properties of the solution or its discretization.The topics considered include the computation of robustness measures for linear problems, the use of low-rank ODEs to approximate such measures via gradient systems, the regularity, stability, passivity and controllability analysis of structured linear descriptor systems, and the use of acceleration techniques to deal with some of the presented computational problems.Although the emphasis is on the numerical study of differential equations and dynamical systems, the book will also be of interest to researchers in matrix theory, spectral optimization and spectral graph theory, as well as in dynamical systems and systems theory.
537 kr
Skickas inom 10-15 vardagar
This self-contained textbook, now in a thoroughly revised and expanded second edition, takes a matrix-oriented approach to Linear Algebra.
Del 221 - Operator Theory: Advances and Applications
Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations
21st International Workshop on Operator Theory and Applications, Berlin, July 2010
Inbunden, Engelska, 2012
1 067 kr
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The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications. They cover a wide range of themes from the IWOTA 2010 conference held at the TU Berlin, Germany, including spectral theory, function spaces, mathematical system theory, evolution equations and semigroups, and differential and difference operators. The book encompasses new trends and various modern topics in operator theory, and serves as a useful source of information to mathematicians, scientists and engineers.
Del 221 - Operator Theory: Advances and Applications
Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations
21st International Workshop on Operator Theory and Applications, Berlin, July 2010
Häftad, Engelska, 2014
1 067 kr
Skickas inom 10-15 vardagar
The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications. They cover a wide range of themes from the IWOTA 2010 conference held at the TU Berlin, Germany, including spectral theory, function spaces, mathematical system theory, evolution equations and semigroups, and differential and difference operators. The book encompasses new trends and various modern topics in operator theory, and serves as a useful source of information to mathematicians, scientists and engineers.
385 kr
Skickas inom 11-20 vardagar
This self-contained textbook takes a matrix-oriented approach to linear algebra and presents a complete theory, including all details and proofs, culminating in the Jordan canonical form and its proof.
Numerische Mathematik
Eine projektorientierte Einführung für Ingenieure, Mathematiker und Naturwissenschaftler
Häftad, Tyska, 2004
384 kr
Skickas inom 10-15 vardagar
Der Text ist durch Anwendungen motiviert und entwickelt die Bedurfnisse nach numerischen Methoden konzeptionell anhand der Losung von Differentialgleichungen. D.h., es gibt einen roten Faden und die Studierenden sehen, warum jetzt bestimmte Techniken zu erlernen sind. Zwei Anwendungen ziehen sich durch das Buch: ein mechanisches Mehrkorpersystem und ein Warmeleitungsproblem, an denen die Fragestellung und Phanomene erklart werden. Das Buch lasst sich mit oder ohne Beweise verwenden.
Dimension Reduction of Large-Scale Systems
Proceedings of a Workshop held in Oberwolfach, Germany, October 19-25, 2003
Häftad, Engelska, 2005
1 582 kr
Skickas inom 10-15 vardagar
In the past decades, model reduction has become an ubiquitous tool in analysis and simulation of dynamical systems, control design, circuit simulation, structural dynamics, CFD, and many other disciplines dealing with complex physical models. The aim of this book is to survey some of the most successful model reduction methods in tutorial style articles and to present benchmark problems from several application areas for testing and comparing existing and new algorithms. As the discussed methods have often been developed in parallel in disconnected application areas, the intention of the mini-workshop in Oberwolfach and its proceedings is to make these ideas available to researchers and practitioners from all these different disciplines.
537 kr
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Mathematics as a production factor or driving force for innovation? Those, who want to know and understand why mathematics is deeply involved in the design of products, the layout of production processes and supply chains will find this book an indispensable and rich source.
537 kr
Skickas inom 10-15 vardagar
This unique book presents real world success stories of collaboration between mathematicians and industrial partners, showcasing first-hand case studies, and lessons learned from the experiences, technologies, and business challenges that led to the successful development of industrial solutions based on mathematics.
354 kr
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Dieses Lehrbuch über die Lineare Algebra deckt den gesamten Stoff der zweisemestrigen Grundvorlesung ab. Seine anschauliche und konsequent matrizenorientierte Herangehensweise ermöglicht Studierenden ein intuitives Verständnis der abstrakten Objekte. Die im Buch präsentierten vielfältigen Anwendungen und Beispiele motivieren Studierende zur intensiven Auseinandersetzung mit der Linearen Algebra als leistungsfähiges mathematisches Werkzeug. In vielen „MATLAB-Minuten“ können sich Studierende wichtige Sätze und Konzepte am Rechner erarbeiten. Alle notwendigen Vorkenntnisse werden in einer MATLAB-Kurzeinführung erläutert. Das Buch enthält zudem über 350 Übungsaufgaben, die das Erlernen des Stoffes unterstützen. Interessierte Studierende finden darüber hinaus historische Notizen zur Entwicklung des Gebiets. Für diese vierte Auflage wurde das Buch durchgesehen und ergänzt. Zu den Ergänzungen gehören insbesondere die genauere Betrachtung von Projektionen, die Herleitung der Frobenius-Normalform von Endomorphismen sowie der Beweis eines wichtigen Satzes über Matrixfunktionen basierend auf der Lösung des Hermite-Interpolationsproblems. Hinzugekommen sind außerdem mehr als 20 neue Aufgaben sowie Begriffe wie der Bidualraum, derogatorische Matrizen, Invariantenteiler und Isometrien. Der übersichtliche Aufbau und das bewährte Konzept des Lehrbuchs wurden beibehalten.
Del 199 - Operator Theory: Advances and Applications
Numerical Methods for Structured Matrices and Applications
The Georg Heinig Memorial Volume
Inbunden, Engelska, 2010
1 582 kr
Skickas inom 10-15 vardagar
Georg Heing, a charming, erudite man, and a ?rst rate mathematician died un- pectedly of a heart attack on May 10, 2005. Georg is survived by his wife Gerti, his daughter Susanne, and his son Peter. We have lost one the leading experts in the ?eld of structured matrices, a wonderful colleague, and a terri?c friend. GeorgHeinig'sresults,approaches,andhisscienti?ctastein?uencedourc- munity of researchers working on structured matrices. In fact, the community's focus grew to re?ect his interdisciplinary vision ranging from applications (e.g., in systems and control theory and signal processing) through fundamental mat- matics(structuredmatrices,periodicJacobi,Toeplitz,andWiener-Hopfoperators, classesofsingularintegraloperators,resultantsandBezoutiansforoperator-valued polynomials and continual analogs thereof) to numerical analysis and fast al- rithms. The broad spectrum of Georg Heinig's interests are represented in this collection. Georg served as an Associate Editor of two top journals: Integral Equations andOperatorTheoryand LinearAlgebraand Its Applications. This volumestarts with two eulogies published earlier by IEOT and LAA. The ?rst one, published in IEOT is by Albrecht Bot .. tcher, Israel Gohberg (who was Georg's advisor during his Ph.D. studies), and Bernd Silbermann. The second one, published in LAA is by Karla Rost who collaborated with Georg during last three decades until day of his death. They have produced together more than 30 papers and a monograph.