Model Order Reduction And Applications

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Model Order Reduction: Theory, Research Aspects and Applications

Wilhelmus H. Schilders,Henk A. van der Vorst,Joost Rommes
Model Order Reduction Theory Research Aspects and Applications Book PDF

Author : Wilhelmus H. Schilders,Henk A. van der Vorst,Joost Rommes
Publisher : Springer Science & Business Media
Page : 471 pages
File Size : 47,8 Mb
Release : 2008-08-27
Category : Mathematics
ISBN : 9783540788416

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Model Order Reduction: Theory, Research Aspects and Applications by Wilhelmus H. Schilders,Henk A. van der Vorst,Joost Rommes Pdf

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.

Model Order Reduction Techniques with Applications in Finite Element Analysis

Zu-Qing Qu
Model Order Reduction Techniques with Applications in Finite Element Analysis Book PDF

Author : Zu-Qing Qu
Publisher : Springer Science & Business Media
Page : 379 pages
File Size : 44,6 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781447138273

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Model Order Reduction Techniques with Applications in Finite Element Analysis by Zu-Qing Qu Pdf

Despite the continued rapid advance in computing speed and memory the increase in the complexity of models used by engineers persists in outpacing them. Even where there is access to the latest hardware, simulations are often extremely computationally intensive and time-consuming when full-blown models are under consideration. The need to reduce the computational cost involved when dealing with high-order/many-degree-of-freedom models can be offset by adroit computation. In this light, model-reduction methods have become a major goal of simulation and modeling research. Model reduction can also ameliorate problems in the correlation of widely used finite-element analyses and test analysis models produced by excessive system complexity. Model Order Reduction Techniques explains and compares such methods focusing mainly on recent work in dynamic condensation techniques: - Compares the effectiveness of static, exact, dynamic, SEREP and iterative-dynamic condensation techniques in producing valid reduced-order models; - Shows how frequency shifting and the number of degrees of freedom affect the desirability and accuracy of using dynamic condensation; - Answers the challenges involved in dealing with undamped and non-classically damped models; - Requires little more than first-engineering-degree mathematics and highlights important points with instructive examples. Academics working in research on structural dynamics, MEMS, vibration, finite elements and other computational methods in mechanical, aerospace and structural engineering will find Model Order Reduction Techniques of great interest while it is also an excellent resource for researchers working on commercial finite-element-related software such as ANSYS and Nastran.

Model Order Reduction Techniques with Applications in Electrical Engineering

L. Fortuna,G. Nunnari,A. Gallo
Model Order Reduction Techniques with Applications in Electrical Engineering Book PDF

Author : L. Fortuna,G. Nunnari,A. Gallo
Publisher : Springer Science & Business Media
Page : 242 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447131984

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Model Order Reduction Techniques with Applications in Electrical Engineering by L. Fortuna,G. Nunnari,A. Gallo Pdf

Model Order Reduction Techniqes focuses on model reduction problems with particular applications in electrical engineering. Starting with a clear outline of the technique and their wide methodological background, central topics are introduced including mathematical tools, physical processes, numerical computing experience, software developments and knowledge of system theory. Several model reduction algorithms are then discussed. The aim of this work is to give the reader an overview of reduced-order model design and an operative guide. Particular attention is given to providing basic concepts for building expert systems for model reducution.

Reduced Order Methods for Modeling and Computational Reduction

Alfio Quarteroni,Gianluigi Rozza
Reduced Order Methods for Modeling and Computational Reduction Book PDF

Author : Alfio Quarteroni,Gianluigi Rozza
Publisher : Springer
Page : 338 pages
File Size : 47,5 Mb
Release : 2014-06-05
Category : Mathematics
ISBN : 9783319020907

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Reduced Order Methods for Modeling and Computational Reduction by Alfio Quarteroni,Gianluigi Rozza Pdf

This monograph addresses the state of the art of reduced order methods for modeling and computational reduction of complex parametrized systems, governed by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques and applications in computational mechanics, bioengineering and computer graphics. Several topics are covered, including: design, optimization, and control theory in real-time with applications in engineering; data assimilation, geometry registration, and parameter estimation with special attention to real-time computing in biomedical engineering and computational physics; real-time visualization of physics-based simulations in computer science; the treatment of high-dimensional problems in state space, physical space, or parameter space; the interactions between different model reduction and dimensionality reduction approaches; the development of general error estimation frameworks which take into account both model and discretization effects. This book is primarily addressed to computational scientists interested in computational reduction techniques for large scale differential problems.

Machine Learning for Model Order Reduction

Khaled Salah Mohamed
Machine Learning for Model Order Reduction Book PDF

Author : Khaled Salah Mohamed
Publisher : Springer
Page : 93 pages
File Size : 43,7 Mb
Release : 2018-03-02
Category : Technology & Engineering
ISBN : 9783319757148

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Machine Learning for Model Order Reduction by Khaled Salah Mohamed Pdf

This Book discusses machine learning for model order reduction, which can be used in modern VLSI design to predict the behavior of an electronic circuit, via mathematical models that predict behavior. The author describes techniques to reduce significantly the time required for simulations involving large-scale ordinary differential equations, which sometimes take several days or even weeks. This method is called model order reduction (MOR), which reduces the complexity of the original large system and generates a reduced-order model (ROM) to represent the original one. Readers will gain in-depth knowledge of machine learning and model order reduction concepts, the tradeoffs involved with using various algorithms, and how to apply the techniques presented to circuit simulations and numerical analysis. Introduces machine learning algorithms at the architecture level and the algorithm levels of abstraction; Describes new, hybrid solutions for model order reduction; Presents machine learning algorithms in depth, but simply; Uses real, industrial applications to verify algorithms.

System- and Data-Driven Methods and Algorithms

Peter Benner,et al.
System and Data Driven Methods and Algorithms Book PDF

Author : Peter Benner,et al.
Publisher : Walter de Gruyter GmbH & Co KG
Page : 346 pages
File Size : 41,6 Mb
Release : 2021-11-08
Category : Mathematics
ISBN : 9783110497717

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System- and Data-Driven Methods and Algorithms by Peter Benner,et al. Pdf

An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This first volume focuses on real-time control theory, data assimilation, real-time visualization, high-dimensional state spaces and interaction of different reduction techniques.

Machine Learning, Low-Rank Approximations and Reduced Order Modeling in Computational Mechanics

Felix Fritzen,David Ryckelynck
Machine Learning Low Rank Approximations and Reduced Order Modeling in Computational Mechanics Book PDF

Author : Felix Fritzen,David Ryckelynck
Publisher : MDPI
Page : 254 pages
File Size : 53,8 Mb
Release : 2019-09-18
Category : Technology & Engineering
ISBN : 9783039214099

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Machine Learning, Low-Rank Approximations and Reduced Order Modeling in Computational Mechanics by Felix Fritzen,David Ryckelynck Pdf

The use of machine learning in mechanics is booming. Algorithms inspired by developments in the field of artificial intelligence today cover increasingly varied fields of application. This book illustrates recent results on coupling machine learning with computational mechanics, particularly for the construction of surrogate models or reduced order models. The articles contained in this compilation were presented at the EUROMECH Colloquium 597, « Reduced Order Modeling in Mechanics of Materials », held in Bad Herrenalb, Germany, from August 28th to August 31th 2018. In this book, Artificial Neural Networks are coupled to physics-based models. The tensor format of simulation data is exploited in surrogate models or for data pruning. Various reduced order models are proposed via machine learning strategies applied to simulation data. Since reduced order models have specific approximation errors, error estimators are also proposed in this book. The proposed numerical examples are very close to engineering problems. The reader would find this book to be a useful reference in identifying progress in machine learning and reduced order modeling for computational mechanics.

Reduced-Order Modeling (ROM) for Simulation and Optimization

Winfried Keiper,Anja Milde,Stefan Volkwein
Reduced Order Modeling ROM for Simulation and Optimization Book PDF

Author : Winfried Keiper,Anja Milde,Stefan Volkwein
Publisher : Springer
Page : 179 pages
File Size : 40,5 Mb
Release : 2018-04-11
Category : Mathematics
ISBN : 9783319753195

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Reduced-Order Modeling (ROM) for Simulation and Optimization by Winfried Keiper,Anja Milde,Stefan Volkwein Pdf

This edited monograph collects research contributions and addresses the advancement of efficient numerical procedures in the area of model order reduction (MOR) for simulation, optimization and control. The topical scope includes, but is not limited to, new out-of-the-box algorithmic solutions for scientific computing, e.g. reduced basis methods for industrial problems and MOR approaches for electrochemical processes. The target audience comprises research experts and practitioners in the field of simulation, optimization and control, but the book may also be beneficial for graduate students alike.

Model Reduction and Approximation

Peter Benner,Albert Cohen,Mario Ohlberger,Karen Willcox
Model Reduction and Approximation Book PDF

Author : Peter Benner,Albert Cohen,Mario Ohlberger,Karen Willcox
Publisher : SIAM
Page : 421 pages
File Size : 41,6 Mb
Release : 2017-07-06
Category : Science
ISBN : 9781611974812

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Model Reduction and Approximation by Peter Benner,Albert Cohen,Mario Ohlberger,Karen Willcox Pdf

Many physical, chemical, biomedical, and technical processes can be described by partial differential equations or dynamical systems. In spite of increasing computational capacities, many problems are of such high complexity that they are solvable only with severe simplifications, and the design of efficient numerical schemes remains a central research challenge. This book presents a tutorial introduction to recent developments in mathematical methods for model reduction and approximation of complex systems. Model Reduction and Approximation: Theory and Algorithms contains three parts that cover (I) sampling-based methods, such as the reduced basis method and proper orthogonal decomposition, (II) approximation of high-dimensional problems by low-rank tensor techniques, and (III) system-theoretic methods, such as balanced truncation, interpolatory methods, and the Loewner framework. It is tutorial in nature, giving an accessible introduction to state-of-the-art model reduction and approximation methods. It also covers a wide range of methods drawn from typically distinct communities (sampling based, tensor based, system-theoretic).?? This book is intended for researchers interested in model reduction and approximation, particularly graduate students and young researchers.

Snapshot-Based Methods and Algorithms

Peter Benner,et al.
Snapshot Based Methods and Algorithms Book PDF

Author : Peter Benner,et al.
Publisher : Walter de Gruyter GmbH & Co KG
Page : 369 pages
File Size : 51,7 Mb
Release : 2020-12-16
Category : Mathematics
ISBN : 9783110671506

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Snapshot-Based Methods and Algorithms by Peter Benner,et al. Pdf

An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This second volume focuses on applications in engineering, biomedical engineering, computational physics and computer science.

Model Order Reduction and Applications

Michael Hinze,J. Nathan Kutz,Olga Mula,Karsten Urban
Model Order Reduction and Applications Book PDF

Author : Michael Hinze,J. Nathan Kutz,Olga Mula,Karsten Urban
Publisher : Springer Nature
Page : 241 pages
File Size : 46,6 Mb
Release : 2023-06-20
Category : Mathematics
ISBN : 9783031295638

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Model Order Reduction and Applications by Michael Hinze,J. Nathan Kutz,Olga Mula,Karsten Urban Pdf

This book addresses the state of the art of reduced order methods for modelling and computational reduction of complex parametrised systems, governed by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques and applications in various fields. Consisting of four contributions presented at the CIME summer school, the book presents several points of view and techniques to solve demanding problems of increasing complexity. The focus is on theoretical investigation and applicative algorithm development for reduction in the complexity – the dimension, the degrees of freedom, the data – arising in these models. The book is addressed to graduate students, young researchers and people interested in the field. It is a good companion for graduate/doctoral classes.

Advanced Model Order Reduction Techniques in VLSI Design

Sheldon Tan,Lei He
Advanced Model Order Reduction Techniques in VLSI Design Book PDF

Author : Sheldon Tan,Lei He
Publisher : Cambridge University Press
Page : 259 pages
File Size : 54,6 Mb
Release : 2007-05-31
Category : Computers
ISBN : 9781139464314

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Advanced Model Order Reduction Techniques in VLSI Design by Sheldon Tan,Lei He Pdf

Model order reduction (MOR) techniques reduce the complexity of VLSI designs, paving the way to higher operating speeds and smaller feature sizes. This book presents a systematic introduction to, and treatment of, the key MOR methods employed in general linear circuits, using real-world examples to illustrate the advantages and disadvantages of each algorithm. Following a review of traditional projection-based techniques, coverage progresses to more advanced MOR methods for VLSI design, including HMOR, passive truncated balanced realization (TBR) methods, efficient inductance modeling via the VPEC model, and structure-preserving MOR techniques. Where possible, numerical methods are approached from the CAD engineer's perspective, avoiding complex mathematics and allowing the reader to take on real design problems and develop more effective tools. With practical examples and over 100 illustrations, this book is suitable for researchers and graduate students of electrical and computer engineering, as well as practitioners working in the VLSI design industry.

Interpolatory Methods for Model Reduction

A. C. Antoulas,C. A. Beattie,S. Güğercin
Interpolatory Methods for Model Reduction Book PDF

Author : A. C. Antoulas,C. A. Beattie,S. Güğercin
Publisher : SIAM
Page : 244 pages
File Size : 43,9 Mb
Release : 2020-01-13
Category : Mathematics
ISBN : 9781611976083

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Interpolatory Methods for Model Reduction by A. C. Antoulas,C. A. Beattie,S. Güğercin Pdf

Dynamical systems are a principal tool in the modeling, prediction, and control of a wide range of complex phenomena. As the need for improved accuracy leads to larger and more complex dynamical systems, direct simulation often becomes the only available strategy for accurate prediction or control, inevitably creating a considerable burden on computational resources. This is the main context where one considers model reduction, seeking to replace large systems of coupled differential and algebraic equations that constitute high fidelity system models with substantially fewer equations that are crafted to control the loss of fidelity that order reduction may induce in the system response. Interpolatory methods are among the most widely used model reduction techniques, and Interpolatory Methods for Model Reduction is the first comprehensive analysis of this approach available in a single, extensive resource. It introduces state-of-the-art methods reflecting significant developments over the past two decades, covering both classical projection frameworks for model reduction and data-driven, nonintrusive frameworks. This textbook is appropriate for a wide audience of engineers and other scientists working in the general areas of large-scale dynamical systems and data-driven modeling of dynamics.

Model Reduction for Circuit Simulation

Peter Benner,Michael Hinze,E. Jan W. ter Maten
Model Reduction for Circuit Simulation Book PDF

Author : Peter Benner,Michael Hinze,E. Jan W. ter Maten
Publisher : Springer Science & Business Media
Page : 317 pages
File Size : 48,7 Mb
Release : 2011-03-25
Category : Technology & Engineering
ISBN : 9789400700895

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Model Reduction for Circuit Simulation by Peter Benner,Michael Hinze,E. Jan W. ter Maten Pdf

Simulation based on mathematical models plays a major role in computer aided design of integrated circuits (ICs). Decreasing structure sizes, increasing packing densities and driving frequencies require the use of refined mathematical models, and to take into account secondary, parasitic effects. This leads to very high dimensional problems which nowadays require simulation times too large for the short time-to-market demands in industry. Modern Model Order Reduction (MOR) techniques present a way out of this dilemma in providing surrogate models which keep the main characteristics of the device while requiring a significantly lower simulation time than the full model. With Model Reduction for Circuit Simulation we survey the state of the art in the challenging research field of MOR for ICs, and also address its future research directions. Special emphasis is taken on aspects stemming from miniturisations to the nano scale. Contributions cover complexity reduction using e.g., balanced truncation, Krylov-techniques or POD approaches. For semiconductor applications a focus is on generalising current techniques to differential-algebraic equations, on including design parameters, on preserving stability, and on including nonlinearity by means of piecewise linearisations along solution trajectories (TPWL) and interpolation techniques for nonlinear parts. Furthermore the influence of interconnects and power grids on the physical properties of the device is considered, and also top-down system design approaches in which detailed block descriptions are combined with behavioral models. Further topics consider MOR and the combination of approaches from optimisation and statistics, and the inclusion of PDE models with emphasis on MOR for the resulting partial differential algebraic systems. The methods which currently are being developed have also relevance in other application areas such as mechanical multibody systems, and systems arising in chemistry and to biology. The current number of books in the area of MOR for ICs is very limited, so that this volume helps to fill a gap in providing the state of the art material, and to stimulate further research in this area of MOR. Model Reduction for Circuit Simulation also reflects and documents the vivid interaction between three active research projects in this area, namely the EU-Marie Curie Action ToK project O-MOORE-NICE (members in Belgium, The Netherlands and Germany), the EU-Marie Curie Action RTN-project COMSON (members in The Netherlands, Italy, Germany, and Romania), and the German federal project System reduction in nano-electronics (SyreNe).

Computer-Aided Control Systems Design

Cheng Siong Chin
Computer Aided Control Systems Design Book PDF

Author : Cheng Siong Chin
Publisher : CRC Press
Page : 385 pages
File Size : 45,8 Mb
Release : 2012-12-12
Category : Technology & Engineering
ISBN : 9781466568518

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Computer-Aided Control Systems Design by Cheng Siong Chin Pdf

Computer-Aided Control Systems Design: Practical Applications Using MATLAB® and Simulink® supplies a solid foundation in applied control to help you bridge the gap between control theory and its real-world applications. Working from basic principles, the book delves into control systems design through the practical examples of the ALSTOM gasifier system in power stations and underwater robotic vehicles in the marine industry. It also shows how powerful software such as MATLAB® and Simulink® can aid in control systems design. Make Control Engineering Come Alive with Computer-Aided Software Emphasizing key aspects of the design process, the book covers the dynamic modeling, control structure design, controller design, implementation, and testing of control systems. It begins with the essential ideas of applied control engineering and a hands-on introduction to MATLAB and Simulink. It then discusses the analysis, model order reduction, and controller design for a power plant and the modeling, simulation, and control of a remotely operated vehicle (ROV) for pipeline tracking. The author explains how to obtain the ROV model and verify it by using computational fluid dynamic software before designing and implementing the control system. In addition, the book details the nonlinear subsystem modeling and linearization of the ROV at vertical plane equilibrium points. Throughout, the author delineates areas for further study. Appendices provide additional information on various simulation models and their results. Learn How to Perform Simulations on Real Industry Systems A step-by-step guide to computer-aided applied control design, this book supplies the knowledge to help you deal with control problems in industry. It is a valuable reference for anyone who wants a better understanding of the theory and practice of basic control systems design, analysis, and implementation.