Model Reduced Inverse Modeling

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Modeling of Atmospheric Chemistry

Author : Guy P. Brasseur
Publisher : Cambridge University Press
ISBN 13 : 1108210953
Total Pages : 631 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis Modeling of Atmospheric Chemistry by : Guy P. Brasseur

Download or read book Modeling of Atmospheric Chemistry written by Guy P. Brasseur and published by Cambridge University Press. This book was released on 2017-06-19 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modeling of atmospheric composition is a formidable scientific and computational challenge. This comprehensive presentation of the modeling methods used in atmospheric chemistry focuses on both theory and practice, from the fundamental principles behind models, through to their applications in interpreting observations. An encyclopaedic coverage of methods used in atmospheric modeling, including their advantages and disadvantages, makes this a one-stop resource with a large scope. Particular emphasis is given to the mathematical formulation of chemical, radiative, and aerosol processes; advection and turbulent transport; emission and deposition processes; as well as major chapters on model evaluation and inverse modeling. The modeling of atmospheric chemistry is an intrinsically interdisciplinary endeavour, bringing together meteorology, radiative transfer, physical chemistry and biogeochemistry, making the book of value to a broad readership. Introductory chapters and a review of the relevant mathematics make this book instantly accessible to graduate students and researchers in the atmospheric sciences.

Resistivity and Induced Polarization

Author : Andrew Binley
Publisher : Cambridge University Press
ISBN 13 : 1108492746
Total Pages : 409 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Resistivity and Induced Polarization by : Andrew Binley

Download or read book Resistivity and Induced Polarization written by Andrew Binley and published by Cambridge University Press. This book was released on 2020-12-17 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive text on resistivity and induced polarization covering theory and practice for the near-surface Earth supported by modelling software.

Large-Scale Inverse Problems and Quantification of Uncertainty

Author : Lorenz Biegler
Publisher : John Wiley & Sons
ISBN 13 : 1119957583
Total Pages : 403 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Large-Scale Inverse Problems and Quantification of Uncertainty by : Lorenz Biegler

Download or read book Large-Scale Inverse Problems and Quantification of Uncertainty written by Lorenz Biegler and published by John Wiley & Sons. This book was released on 2011-06-24 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on computational methods for large-scale statistical inverse problems and provides an introduction to statistical Bayesian and frequentist methodologies. Recent research advances for approximation methods are discussed, along with Kalman filtering methods and optimization-based approaches to solving inverse problems. The aim is to cross-fertilize the perspectives of researchers in the areas of data assimilation, statistics, large-scale optimization, applied and computational mathematics, high performance computing, and cutting-edge applications. The solution to large-scale inverse problems critically depends on methods to reduce computational cost. Recent research approaches tackle this challenge in a variety of different ways. Many of the computational frameworks highlighted in this book build upon state-of-the-art methods for simulation of the forward problem, such as, fast Partial Differential Equation (PDE) solvers, reduced-order models and emulators of the forward problem, stochastic spectral approximations, and ensemble-based approximations, as well as exploiting the machinery for large-scale deterministic optimization through adjoint and other sensitivity analysis methods. Key Features: Brings together the perspectives of researchers in areas of inverse problems and data assimilation. Assesses the current state-of-the-art and identify needs and opportunities for future research. Focuses on the computational methods used to analyze and simulate inverse problems. Written by leading experts of inverse problems and uncertainty quantification. Graduate students and researchers working in statistics, mathematics and engineering will benefit from this book.

Inverse Problem Theory and Methods for Model Parameter Estimation

Author : Albert Tarantola
Publisher : SIAM
ISBN 13 : 9780898717921
Total Pages : 349 pages
Book Rating : 4.7/5 (179 download)

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Book Synopsis Inverse Problem Theory and Methods for Model Parameter Estimation by : Albert Tarantola

Download or read book Inverse Problem Theory and Methods for Model Parameter Estimation written by Albert Tarantola and published by SIAM. This book was released on 2005-01-01 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: While the prediction of observations is a forward problem, the use of actual observations to infer the properties of a model is an inverse problem. Inverse problems are difficult because they may not have a unique solution. The description of uncertainties plays a central role in the theory, which is based on probability theory. This book proposes a general approach that is valid for linear as well as for nonlinear problems. The philosophy is essentially probabilistic and allows the reader to understand the basic difficulties appearing in the resolution of inverse problems. The book attempts to explain how a method of acquisition of information can be applied to actual real-world problems, and many of the arguments are heuristic.

Inverse Analyses with Model Reduction

Author : Vladimir Buljak
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.

Modeling, Identification and Control of Robots

Author : W. Khalil
Publisher : Butterworth-Heinemann
ISBN 13 : 0080536611
Total Pages : 503 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Modeling, Identification and Control of Robots by : W. Khalil

Download or read book Modeling, Identification and Control of Robots written by W. Khalil and published by Butterworth-Heinemann. This book was released on 2004-07-01 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by two of Europe's leading robotics experts, this book provides the tools for a unified approach to the modelling of robotic manipulators, whatever their mechanical structure. No other publication covers the three fundamental issues of robotics: modelling, identification and control. It covers the development of various mathematical models required for the control and simulation of robots.·World class authority·Unique range of coverage not available in any other book·Provides a complete course on robotic control at an undergraduate and graduate level

Model Order Reduction: Theory, Research Aspects and Applications

Author : Wilhelmus H. Schilders
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.

Beyond El Niño

Author : Antonio Navarra
Publisher : Springer Science & Business Media
ISBN 13 : 3642583695
Total Pages : 412 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Beyond El Niño by : Antonio Navarra

Download or read book Beyond El Niño written by Antonio Navarra and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interest and level of research into climate variability has risen dramatically in recent years, and major breakthroughs have been achieved in the understanding and modelling of seasonal to interannual climate variability and prediction. At the same time, the documentation of longer term variability and its underlying mecha nisms have progressed considerably. Within the European Commission's Environment and Climate research programs several important projects have been supported in these areas - including the "Dec adal and Interdecadal Climate variability Experiment" (DICE) which forms the basis of this book. Within the EC supported climate research, we see an increasing importance of research into climate variability, as is evidenced in the upcoming Fifth Framework Programme's Key Action on Global Change, Climate and Biodi versity. This is because of the obvious potential socio-economic benefits from sea sonal to decadal scale climate prediction and equally important for the fundamental understanding of the climate system to help improve the quality and reliability of future climate change and mankind's current interference with it. The DICE group has performed important and pioneering work, and we hope this book will receive the wide distribution and recognition it deserves. We wel come the contributions from distinguished researchers from US, Japan and Canada to the EC's DICE group towards completing the scope of the book and as an exam ple of international cooperation which is essential in such a high-level scientific endeavor.

Applied Groundwater Modeling

Author : Mary P. Anderson
Publisher : Academic Press
ISBN 13 : 0080916384
Total Pages : 632 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Applied Groundwater Modeling by : Mary P. Anderson

Download or read book Applied Groundwater Modeling written by Mary P. Anderson and published by Academic Press. This book was released on 2015-08-13 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition is extensively revised throughout with expanded discussion of modeling fundamentals and coverage of advances in model calibration and uncertainty analysis that are revolutionizing the science of groundwater modeling. The text is intended for undergraduate and graduate level courses in applied groundwater modeling and as a comprehensive reference for environmental consultants and scientists/engineers in industry and governmental agencies. - Explains how to formulate a conceptual model of a groundwater system and translate it into a numerical model - Demonstrates how modeling concepts, including boundary conditions, are implemented in two groundwater flow codes-- MODFLOW (for finite differences) and FEFLOW (for finite elements) - Discusses particle tracking methods and codes for flowpath analysis and advective transport of contaminants - Summarizes parameter estimation and uncertainty analysis approaches using the code PEST to illustrate how concepts are implemented - Discusses modeling ethics and preparation of the modeling report - Includes Boxes that amplify and supplement topics covered in the text - Each chapter presents lists of common modeling errors and problem sets that illustrate concepts

Interpolatory Methods for Model Reduction

Author : A. C. Antoulas
Publisher : SIAM
ISBN 13 : 1611976081
Total Pages : 245 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Interpolatory Methods for Model Reduction by : A. C. Antoulas

Download or read book Interpolatory Methods for Model Reduction written by A. C. Antoulas and published by SIAM. This book was released on 2020-01-13 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Statistical and Computational Inverse Problems

Author : Jari Kaipio
Publisher : Springer Science & Business Media
ISBN 13 : 0387271325
Total Pages : 346 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Statistical and Computational Inverse Problems by : Jari Kaipio

Download or read book Statistical and Computational Inverse Problems written by Jari Kaipio and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the statistical mechanics approach to computational solution of inverse problems, an innovative area of current research with very promising numerical results. The techniques are applied to a number of real world applications such as limited angle tomography, image deblurring, electical impedance tomography, and biomagnetic inverse problems. Contains detailed examples throughout and includes a chapter on case studies where such methods have been implemented in biomedical engineering.

Inverse Methods for Atmospheric Sounding

Author : Clive D. Rodgers
Publisher : World Scientific
ISBN 13 : 981022740X
Total Pages : 256 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Inverse Methods for Atmospheric Sounding by : Clive D. Rodgers

Download or read book Inverse Methods for Atmospheric Sounding written by Clive D. Rodgers and published by World Scientific. This book was released on 2000 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation Rodgers (U. of Oxford) provides graduate students and other researchers a background to the inverse problem and its solution, with applications relating to atmospheric measurements. He introduces the stages in the reverse order than the usual approach in order to develop the learner's intuition about the nature of the inverse problem. Annotation copyrighted by Book News, Inc., Portland, OR.

The Factorization Method for Inverse Problems

Author : Andreas Kirsch
Publisher : Oxford University Press, USA
ISBN 13 : 0199213534
Total Pages : 216 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis The Factorization Method for Inverse Problems by : Andreas Kirsch

Download or read book The Factorization Method for Inverse Problems written by Andreas Kirsch and published by Oxford University Press, USA. This book was released on 2008 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 'factorization method', discovered by Professor Kirsch, is a relatively new method for solving certain types of inverse scattering problems and problems in tomography. The text introduces the reader to this promising approach and discusses the wide applicability of this method by choosing typical examples.

Determination of Stream Reaeration Coefficients by Use of Tracers

Author : F. A. Kilpatrick
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Determination of Stream Reaeration Coefficients by Use of Tracers by : F. A. Kilpatrick

Download or read book Determination of Stream Reaeration Coefficients by Use of Tracers written by F. A. Kilpatrick and published by . This book was released on 1989 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Neuronal Dynamics

Author : Wulfram Gerstner
Publisher : Cambridge University Press
ISBN 13 : 1107060834
Total Pages : 591 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Neuronal Dynamics by : Wulfram Gerstner

Download or read book Neuronal Dynamics written by Wulfram Gerstner and published by Cambridge University Press. This book was released on 2014-07-24 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This solid introduction uses the principles of physics and the tools of mathematics to approach fundamental questions of neuroscience.

Parameter Estimation and Inverse Problems

Author : Richard C. Aster
Publisher : Elsevier
ISBN 13 : 0128134232
Total Pages : 406 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Parameter Estimation and Inverse Problems by : Richard C. Aster

Download or read book Parameter Estimation and Inverse Problems written by Richard C. Aster and published by Elsevier. This book was released on 2018-10-16 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parameter Estimation and Inverse Problems, Third Edition, is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate students in the physical sciences who do not have an extensive mathematical background. The book is complemented by a companion website that includes MATLAB codes that correspond to examples that are illustrated with simple, easy to follow problems that illuminate the details of particular numerical methods. Updates to the new edition include more discussions of Laplacian smoothing, an expansion of basis function exercises, the addition of stochastic descent, an improved presentation of Fourier methods and exercises, and more. - Features examples that are illustrated with simple, easy to follow problems that illuminate the details of a particular numerical method - Includes an online instructor's guide that helps professors teach and customize exercises and select homework problems - Covers updated information on adjoint methods that are presented in an accessible manner

Model Calibration and Parameter Estimation

Author : Ne-Zheng Sun
Publisher : Springer
ISBN 13 : 1493923234
Total Pages : 638 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Model Calibration and Parameter Estimation by : Ne-Zheng Sun

Download or read book Model Calibration and Parameter Estimation written by Ne-Zheng Sun and published by Springer. This book was released on 2015-07-01 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-part book provides a comprehensive and systematic introduction to these challenging topics such as model calibration, parameter estimation, reliability assessment, and data collection design. Part 1 covers the classical inverse problem for parameter estimation in both deterministic and statistical frameworks, Part 2 is dedicated to system identification, hyperparameter estimation, and model dimension reduction, and Part 3 considers how to collect data and construct reliable models for prediction and decision-making. For the first time, topics such as multiscale inversion, stochastic field parameterization, level set method, machine learning, global sensitivity analysis, data assimilation, model uncertainty quantification, robust design, and goal-oriented modeling, are systematically described and summarized in a single book from the perspective of model inversion, and elucidated with numerical examples from environmental and water resources modeling. Readers of this book will not only learn basic concepts and methods for simple parameter estimation, but also get familiar with advanced methods for modeling complex systems. Algorithms for mathematical tools used in this book, such as numerical optimization, automatic differentiation, adaptive parameterization, hierarchical Bayesian, metamodeling, Markov chain Monte Carlo, are covered in details. This book can be used as a reference for graduate and upper level undergraduate students majoring in environmental engineering, hydrology, and geosciences. It also serves as an essential reference book for professionals such as petroleum engineers, mining engineers, chemists, mechanical engineers, biologists, biology and medical engineering, applied mathematicians, and others who perform mathematical modeling.