Inverse Analyses with Model Reduction

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Publisher : Springer Science & Business Media
ISBN 13 : 3642227031
Total Pages : 216 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Inverse Analyses with Model Reduction by : Vladimir Buljak

Download or read book Inverse Analyses with Model Reduction written by Vladimir Buljak and published by Springer Science & Business Media. This book was released on 2011-11-08 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this self-consistent monograph, the author gathers and describes different mathematical techniques and combines all together to form practical procedures for the inverse analyses. It puts together topics coming from mathematical programming, with soft computing and Proper Orthogonal Decomposition, in order to show, in the context of structural analyses, how the things work and what are the main problems one needs to tackle. Throughout the book a number of examples and exercises are worked out in order to make reader practically familiar with discussed topics.

Turbulence, Coherent Structures, Dynamical Systems and Symmetry

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Publisher : Cambridge University Press
ISBN 13 : 1107008255
Total Pages : 403 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Turbulence, Coherent Structures, Dynamical Systems and Symmetry by : Philip Holmes

Download or read book Turbulence, Coherent Structures, Dynamical Systems and Symmetry written by Philip Holmes and published by Cambridge University Press. This book was released on 2012-02-23 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes methods revealing the structures and dynamics of turbulence for engineering, physical science and mathematics researchers working in fluid dynamics.

Model Order Reduction: Theory, Research Aspects and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3540788417
Total Pages : 471 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Model Order Reduction: Theory, Research Aspects and Applications by : Wilhelmus H. Schilders

Download or read book Model Order Reduction: Theory, Research Aspects and Applications written by Wilhelmus H. Schilders and published by Springer Science & Business Media. This book was released on 2008-08-27 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Data-Driven Science and Engineering

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Publisher : Cambridge University Press
ISBN 13 : 1009098489
Total Pages : 615 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Data-Driven Science and Engineering by : Steven L. Brunton

Download or read book Data-Driven Science and Engineering written by Steven L. Brunton and published by Cambridge University Press. This book was released on 2022-05-05 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.

Online Damage Detection in Structural Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3319025597
Total Pages : 141 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Online Damage Detection in Structural Systems by : Saeed Eftekhar Azam

Download or read book Online Damage Detection in Structural Systems written by Saeed Eftekhar Azam and published by Springer Science & Business Media. This book was released on 2014-01-21 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph assesses in depth the application of recursive Bayesian filters in structural health monitoring. Although the methods and algorithms used here are well established in the field of automatic control, their application in the realm of civil engineering has to date been limited. The monograph is therefore intended as a reference for structural and civil engineers who wish to conduct research in this field. To this end, the main notions underlying the families of Kalman and particle filters are scrutinized through explanations within the text and numerous numerical examples. The main limitations to their application in monitoring of high-rise buildings are discussed and a remedy based on a synergy of reduced order modeling (based on proper orthogonal decomposition) and Bayesian estimation is proposed. The performance and effectiveness of the proposed algorithm is demonstrated via pseudo-experimental evaluations.

Advances in Turbulence

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Publisher : Springer Science & Business Media
ISBN 13 : 3642830455
Total Pages : 597 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Advances in Turbulence by : Genevieve Comte-Bellot

Download or read book Advances in Turbulence written by Genevieve Comte-Bellot and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1964 the main function of the European Mechanics Committee has been to arrange Euromech Colloquia. These are three- or four-day meetings for the discussion of current research on a specified and relatively narrow topic in mechanics, by about 50 specialists chosen for their active involvement in research in that topic. The organization of each Euromech Colloquium is entrusted by the Committee to one or two selected scientists of repute in the field, and these organizers are enjoined to achieve a friendly and informal forum for discussion, with a minimum of paper work and expenditure. Over 220 Euromech Colloquia have been held since 1964 (about 40 each in France, West Germany and Britain and the remainder in 18 countries in both western and eastern Europe) on a wide range of topics drawn from the mechanics of solid materials, hydrodynamics, gas dynamics and mechanical systems. The Committee believes that collectively, Euromech Colloquia have made a significant contribution to the exchange of ideas on topics in mechanics within Europe and have thereby helped to overcome the barriers to easy scientific communication in that sorely divided continent. A few years ago the European Mechanics Committee turned its atten tion to the possible need for European conferences on a larger scale than Euromech Colloquia.

Dimension Reduction of Large-Scale Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540279091
Total Pages : 397 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Dimension Reduction of Large-Scale Systems by : Peter Benner

Download or read book Dimension Reduction of Large-Scale Systems written by Peter Benner and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Recent Trends in Civil Engineering

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Publisher : Springer Nature
ISBN 13 : 9811582939
Total Pages : 547 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Recent Trends in Civil Engineering by : Bibhuti Bhusan Das

Download or read book Recent Trends in Civil Engineering written by Bibhuti Bhusan Das and published by Springer Nature. This book was released on 2020-11-23 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises select peer-reviewed proceedings of the International Conference Trending Moments and Steer Forces – Civil Engineering Today (TMSF 2019). It presents latest research in different domains of civil engineering like structural and concrete engineering, geotechnical engineering, transportation engineering, environmental engineering, and construction technology and management. The contents also include miscellaneous applications of civil engineering in a wide range of technical and societal problems making use of engineering principles and relational data structures involving measurement sciences. Given the range of topics covered, this book can be useful for students, researchers as well as practitioners working in the field of civil engineering.

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

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Author :
Publisher : MDPI
ISBN 13 : 3039214098
Total Pages : 254 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Machine Learning, Low-Rank Approximations and Reduced Order Modeling in Computational Mechanics by : Felix Fritzen

Download or read book Machine Learning, Low-Rank Approximations and Reduced Order Modeling in Computational Mechanics written by Felix Fritzen and published by MDPI. This book was released on 2019-09-18 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Certified Reduced Basis Methods for Parametrized Partial Differential Equations

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Publisher : Springer
ISBN 13 : 3319224700
Total Pages : 139 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Certified Reduced Basis Methods for Parametrized Partial Differential Equations by : Jan S Hesthaven

Download or read book Certified Reduced Basis Methods for Parametrized Partial Differential Equations written by Jan S Hesthaven and published by Springer. This book was released on 2015-08-20 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods are discussed in detail for coercive problems. More advanced aspects associated with time-dependent problems, non-compliant and non-coercive problems and applications with geometric variation are also discussed as examples.

Particle Image Velocimetry

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Publisher : Springer Science & Business Media
ISBN 13 : 3540723072
Total Pages : 460 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Particle Image Velocimetry by : Markus Raffel

Download or read book Particle Image Velocimetry written by Markus Raffel and published by Springer Science & Business Media. This book was released on 2007-08-09 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This immensely practical guide to PIV provides a condensed, yet exhaustive guide to most of the information needed for experiments employing the technique. This second edition has updated chapters on the principles and extra information on microscopic, high-speed and three component measurements as well as a description of advanced evaluation techniques. What’s more, the huge increase in the range of possible applications has been taken into account as the chapter describing these applications of the PIV technique has been expanded.

Dynamic Mode Decomposition

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Publisher : SIAM
ISBN 13 : 1611974496
Total Pages : 241 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Dynamic Mode Decomposition by : J. Nathan Kutz

Download or read book Dynamic Mode Decomposition written by J. Nathan Kutz and published by SIAM. This book was released on 2016-11-23 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data-driven dynamical systems is a burgeoning field?it connects how measurements of nonlinear dynamical systems and/or complex systems can be used with well-established methods in dynamical systems theory. This is a critically important new direction because the governing equations of many problems under consideration by practitioners in various scientific fields are not typically known. Thus, using data alone to help derive, in an optimal sense, the best dynamical system representation of a given application allows for important new insights. The recently developed dynamic mode decomposition (DMD) is an innovative tool for integrating data with dynamical systems theory. The DMD has deep connections with traditional dynamical systems theory and many recent innovations in compressed sensing and machine learning. Dynamic Mode Decomposition: Data-Driven Modeling of Complex Systems, the first book to address the DMD algorithm, presents a pedagogical and comprehensive approach to all aspects of DMD currently developed or under development; blends theoretical development, example codes, and applications to showcase the theory and its many innovations and uses; highlights the numerous innovations around the DMD algorithm and demonstrates its efficacy using example problems from engineering and the physical and biological sciences; and provides extensive MATLAB code, data for intuitive examples of key methods, and graphical presentations.

Reduced Order Methods for Modeling and Computational Reduction

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Publisher : Springer
ISBN 13 : 3319020900
Total Pages : 338 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Reduced Order Methods for Modeling and Computational Reduction by : Alfio Quarteroni

Download or read book Reduced Order Methods for Modeling and Computational Reduction written by Alfio Quarteroni and published by Springer. This book was released on 2014-06-05 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advanced Topics in Applied Mathematics

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Publisher : Cambridge University Press
ISBN 13 : 1139499289
Total Pages : 233 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Advanced Topics in Applied Mathematics by : Sudhakar Nair

Download or read book Advanced Topics in Applied Mathematics written by Sudhakar Nair and published by Cambridge University Press. This book was released on 2011-03-07 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is ideal for engineering, physical science and applied mathematics students and professionals who want to enhance their mathematical knowledge. Advanced Topics in Applied Mathematics covers four essential applied mathematics topics: Green's functions, integral equations, Fourier transforms and Laplace transforms. Also included is a useful discussion of topics such as the Wiener–Hopf method, finite Hilbert transforms, the Cagniard–De Hoop method and the proper orthogonal decomposition. This book reflects Sudhakar Nair's long classroom experience and includes numerous examples of differential and integral equations from engineering and physics to illustrate the solution procedures. The text includes exercise sets at the end of each chapter and a solutions manual, which is available for instructors.

Fundamentals of Artificial Neural Networks

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Publisher : MIT Press
ISBN 13 : 9780262082396
Total Pages : 546 pages
Book Rating : 4.0/5 (823 download)

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Book Synopsis Fundamentals of Artificial Neural Networks by : Mohamad H. Hassoun

Download or read book Fundamentals of Artificial Neural Networks written by Mohamad H. Hassoun and published by MIT Press. This book was released on 1995 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic account of artificial neural network paradigms that identifies fundamental concepts and major methodologies. Important results are integrated into the text in order to explain a wide range of existing empirical observations and commonly used heuristics.

Solving Least Squares Problems

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Publisher : SIAM
ISBN 13 : 0898713560
Total Pages : 348 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Solving Least Squares Problems by : Charles L. Lawson

Download or read book Solving Least Squares Problems written by Charles L. Lawson and published by SIAM. This book was released on 1995-12-01 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Classic edition includes a new appendix which summarizes the major developments since the book was originally published in 1974. The additions are organized in short sections associated with each chapter. An additional 230 references have been added, bringing the bibliography to over 400 entries. Appendix C has been edited to reflect changes in the associated software package and software distribution method.

Stochastic Tools in Turbulence

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Publisher : Courier Corporation
ISBN 13 : 0486462706
Total Pages : 210 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Stochastic Tools in Turbulence by : John L. Lumley

Download or read book Stochastic Tools in Turbulence written by John L. Lumley and published by Courier Corporation. This book was released on 2007-01-01 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible treatment offers the mathematical tools for describing and solving problems related to stochastic vector fields. Advanced undergraduates and graduate students will find its use of generalized functions a relatively simple method of resolving mathematical questions. It will prove a valuable reference for applied mathematicians and professionals in the fields of aerospace, chemical, civil, and nuclear engineering. The author, Professor Emeritus of Engineering at Cornell University, starts with a survey of probability distributions and densities and proceeds to examinations of moments, characteristic functions, and the Gaussian distribution; random functions; and random processes in more dimensions. Extensive appendixes—which include information on Fourier transforms, tensors, generalized functions, and invariant theory—contribute toward making this volume mathematically self-contained.