Henk van der Vorst's Books

Templates for the Solution of Linear Systems

Building Blocks for Iterative Methods

By: Richard Barrett,Michael W. Berry,Tony F. Chan,James Demmel,June Donato,Jack Dongarra,Victor Eijkhout,Roldan Pozo,Charles Romine,Henk van der Vorst

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Templates for the Solution of Linear Systems

Building Blocks for Iterative Methods

By: Richard Barrett,Michael W. Berry,Tony F. Chan,James Demmel,June Donato,Jack Dongarra,Victor Eijkhout,Roldan Pozo,Charles Romine,Henk van der Vorst

In this book, which focuses on the use of iterative methods for solving large sparse systems of linear equations, templates are introduced to meet the needs of both the traditional user and the high-performance specialist. Templates, a description of a general algorithm rather than the executable object or source code more commonly found in a conventional software library, offer whatever degree of customization the user may desire. Templates offer three distinct advantages: they are general and reusable; they are not language specific; and they exploit the expertise of both the numerical analyst, who creates a template reflecting in-depth knowledge of a specific numerical technique, and the computational scientist, who then provides "value-added" capability to the general template description, customizing it for specific needs. For each template that is presented, the authors provide: a mathematical description of the flow of algorithm; discussion of convergence and stopping criteria to use in the iteration; suggestions for applying a method to special matrix types; advice for tuning the template; tips on parallel implementations; and hints as to when and why a method is useful.

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Page Count

141

Publisher

SIAM

Published Date

ISBN 10

1611971535

ISBN 13

9781611971538

Numerical Linear Algebra on High-Performance Computers

By: Jack J. Dongarra,Iain S. Duff,Danny C. Sorensen,Henk A. van der Vorst

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Numerical Linear Algebra on High-Performance Computers

By: Jack J. Dongarra,Iain S. Duff,Danny C. Sorensen,Henk A. van der Vorst

Provides a rapid introduction to the world of vector and parallel processing for these linear algebra applications.

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Page Count

353

Publisher

SIAM

Published Date

ISBN 10

0898714281

ISBN 13

9780898714289

Dynamics and Bifurcations of Non-Smooth Mechanical Systems

By: Remco Leine,Henk Nijmeijer

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Dynamics and Bifurcations of Non-Smooth Mechanical Systems

By: Remco Leine,Henk Nijmeijer

This monograph combines the knowledge of both the field of nonlinear dynamics and non-smooth mechanics, presenting a framework for a class of non-smooth mechanical systems using techniques from both fields. The book reviews recent developments, and opens the field to the nonlinear dynamics community. This book addresses researchers and graduate students in engineering and mathematics interested in the modelling, simulation and dynamics of non-smooth systems and nonlinear dynamics.

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Page Count

252

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540219870

ISBN 13

9783540219873

Bifurcation Analysis of Fluid Flows

By: Henk A. Dijkstra,Fred W. Wubs

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Bifurcation Analysis of Fluid Flows

By: Henk A. Dijkstra,Fred W. Wubs

A guide to computing bifurcation diagrams for fluid flows, including relevant code, with broad applicability to industrial, environmental, astrophysical flows.

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Page Count

343

Publisher

Cambridge University Press

Published Date

ISBN 10

1108495818

ISBN 13

9781108495813

Nonlinear Physical Oceanography

A Dynamical Systems Approach to the Large Scale Ocean Circulation and El Niño

By: Henk A. Dijkstra

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Nonlinear Physical Oceanography

A Dynamical Systems Approach to the Large Scale Ocean Circulation and El Niño

By: Henk A. Dijkstra

In this book, the methodology of dynamical systems theory is applied to investigate the physics of the global ocean circulation. Topics include the dynamics of the Gulf Stream in the Atlantic Ocean, the stability of the thermohaline circulation and the El Niño/Southern Oscillation phenomenon in the Tropical Pacific. On the other hand, the book also deals with the numerical methods for applying bifurcation analysis on large dimensional dynamical systems, with thousands or more degrees of freedom, which arise through discretization of ocean models. The novel approach in understanding the phenomena of climate variability is through a systematic analysis within a hierarchy of models using these techniques. In this way, a nice overview is obtained of the relations between the results of the different models within the hierarchy. Mechanistic description of the physics of the results is provided and, where possible, links with results of state-of-the-art models and observations are sought. The reader is expected to have a background in basic incompressible fluid dynamics and applied mathematics, although the level of the text is mixed and sometimes quite introductory. Each chapter is rather self-contained and many details of derivations are provided. The book is aimed at graduate students and researchers in meteorology, oceanography, and related fields who are interested in tackling fundamental problems in dynamical oceanography and climate dynamics.

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Page Count

469

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9401594503

ISBN 13

9789401594509

Dynamics and Control of Hybrid Mechanical Systems

By: Gennadi? Alekseevich Leonov,Henk Nijmeijer,Alexander Pogromsky

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Dynamics and Control of Hybrid Mechanical Systems

By: Gennadi? Alekseevich Leonov,Henk Nijmeijer,Alexander Pogromsky

The papers in this edited volume aim to provide a better understanding of the dynamics and control of a large class of hybrid dynamical systems that are described by different models in different state space domains. They not only cover important aspects and tools for hybrid systems analysis and control, but also a number of experimental realizations. Special attention is given to synchronization a universal phenomenon in nonlinear science that gained tremendous significance since its discovery by Huygens in the 17th century. Possible applications of the results introduced in the book include control of mobile robots, control of CD/DVD players, flexible manufacturing lines, and complex networks of interacting agents. The book is based on the material presented at a similarly entitled minisymposium at the 6th European Nonlinear Dynamics Conference held in St Petersburg in 2008. It is unique in that it contains results of several international and interdisciplinary collaborations in the field, and reflects state-of-the-art technological development in the area of hybrid mechanical systems at the forefront of the 21st century.

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Page Count

261

Publisher

World Scientific

Published Date

ISBN 10

9814282316

ISBN 13

9789814282314

Model Order Reduction: Theory, Research Aspects and Applications

By: Wilhelmus H. Schilders,Henk A. van der Vorst,Joost Rommes

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Model Order Reduction: Theory, Research Aspects and Applications

By: Wilhelmus H. Schilders,Henk A. van der Vorst,Joost Rommes

The idea for this book originated during the workshop “Model order reduction, coupled problems and optimization” held at the Lorentz Center in Leiden from S- tember 19–23, 2005. During one of the discussion sessions, it became clear that a book describing the state of the art in model order reduction, starting from the very basics and containing an overview of all relevant techniques, would be of great use for students, young researchers starting in the ?eld, and experienced researchers. The observation that most of the theory on model order reduction is scattered over many good papers, making it dif?cult to ?nd a good starting point, was supported by most of the participants. Moreover, most of the speakers at the workshop were willing to contribute to the book that is now in front of you. The goal of this book, as de?ned during the discussion sessions at the workshop, is three-fold: ?rst, it should describe the basics of model order reduction. Second, both general and more specialized model order reduction techniques for linear and nonlinear systems should be covered, including the use of several related numerical techniques. Third, the use of model order reduction techniques in practical appli- tions and current research aspects should be discussed. We have organized the book according to these goals. In Part I, the rationale behind model order reduction is explained, and an overview of the most common methods is described.

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Page Count

471

Publisher

Springer

Published Date

ISBN 10

3540788409

ISBN 13

9783540788409

Book's by Henk van der Vorst

Templates for the Solution of Linear Systems

Templates for the Solution of Linear Systems

Numerical Linear Algebra on High-Performance Computers

Numerical Linear Algebra on High-Performance Computers

Dynamics and Bifurcations of Non-Smooth Mechanical Systems

Dynamics and Bifurcations of Non-Smooth Mechanical Systems

Bifurcation Analysis of Fluid Flows

Bifurcation Analysis of Fluid Flows

Nonlinear Physical Oceanography

Nonlinear Physical Oceanography

Dynamics and Control of Hybrid Mechanical Systems

Dynamics and Control of Hybrid Mechanical Systems

Model Order Reduction: Theory, Research Aspects and Applications

Model Order Reduction: Theory, Research Aspects and Applications

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