Computational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett Book

Computational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett


  • Author : Anatoli Torokhti
  • Publisher : Elsevier
  • Release Date : 2007-04-11
  • Genre: Mathematics
  • Pages : 322
  • ISBN 10 : 0080475388

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Computational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett Excerpt :

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. Best operator approximation Non-Lagrange interpolation Generic Karhunen-Loeve transform Generalised low-rank matrix approximation Optimal data compression Optimal nonlinear filtering

Adaptive Learning Methods for Nonlinear System Modeling Book

Adaptive Learning Methods for Nonlinear System Modeling


  • Author : Danilo Comminiello
  • Publisher : Butterworth-Heinemann
  • Release Date : 2018-06-11
  • Genre: Technology & Engineering
  • Pages : 388
  • ISBN 10 : 9780128129777

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Adaptive Learning Methods for Nonlinear System Modeling Excerpt :

Adaptive Learning Methods for Nonlinear System Modeling presents some of the recent advances on adaptive algorithms and machine learning methods designed for nonlinear system modeling and identification. Real-life problems always entail a certain degree of nonlinearity, which makes linear models a non-optimal choice. This book mainly focuses on those methodologies for nonlinear modeling that involve any adaptive learning approaches to process data coming from an unknown nonlinear system. By learning from available data, such methods aim at estimating the nonlinearity introduced by the unknown system. In particular, the methods presented in this book are based on online learning approaches, which process the data example-by-example and allow to model even complex nonlinearities, e.g., showing time-varying and dynamic behaviors. Possible fields of applications of such algorithms includes distributed sensor networks, wireless communications, channel identification, predictive maintenance, wind prediction, network security, vehicular networks, active noise control, information forensics and security, tracking control in mobile robots, power systems, and nonlinear modeling in big data, among many others. This book serves as a crucial resource for researchers, PhD and post-graduate students working in the areas of machine learning, signal processing, adaptive filtering, nonlinear control, system identification, cooperative systems, computational intelligence. This book may be also of interest to the industry market and practitioners working with a wide variety of nonlinear systems. Presents the key trends and future perspectives in the field of nonlinear signal processing and adaptive learning. Introduces novel solutions and improvements over the state-of-the-art methods in the very exciting area of online and adaptive nonlinear identification. Helps readers understand important methods that are effective in nonlinear system modelling, suggesting the right methodology to

Computational Methods for Modeling of Nonlinear Systems Book

Computational Methods for Modeling of Nonlinear Systems


  • Author : Anatoli Torokhti
  • Publisher : Elsevier Science Limited
  • Release Date : 1968
  • Genre: Mathematics
  • Pages : 322
  • ISBN 10 : 0126789509

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Computational Methods for Modeling of Nonlinear Systems Excerpt :

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering

Introduction to Stochastic Control Theory Book

Introduction to Stochastic Control Theory


  • Author : Anonim
  • Publisher : Elsevier Science
  • Release Date : 1970-12-12
  • Genre: Mathematics
  • Pages : 322
  • ISBN 10 : 0120656507

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Introduction to Stochastic Control Theory Excerpt :

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering

Numerical Methods for Nonlinear Engineering Models Book

Numerical Methods for Nonlinear Engineering Models


  • Author : John R. Hauser
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-03-24
  • Genre: Technology & Engineering
  • Pages : 1013
  • ISBN 10 : 9781402099205

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Numerical Methods for Nonlinear Engineering Models Excerpt :

There are many books on the use of numerical methods for solving engineering problems and for modeling of engineering artifacts. In addition there are many styles of such presentations ranging from books with a major emphasis on theory to books with an emphasis on applications. The purpose of this book is hopefully to present a somewhat different approach to the use of numerical methods for - gineering applications. Engineering models are in general nonlinear models where the response of some appropriate engineering variable depends in a nonlinear manner on the - plication of some independent parameter. It is certainly true that for many types of engineering models it is sufficient to approximate the real physical world by some linear model. However, when engineering environments are pushed to - treme conditions, nonlinear effects are always encountered. It is also such - treme conditions that are of major importance in determining the reliability or failure limits of engineering systems. Hence it is essential than engineers have a toolbox of modeling techniques that can be used to model nonlinear engineering systems. Such a set of basic numerical methods is the topic of this book. For each subject area treated, nonlinear models are incorporated into the discussion from the very beginning and linear models are simply treated as special cases of more general nonlinear models. This is a basic and fundamental difference in this book from most books on numerical methods.

Numerical Methods for Nonlinear Partial Differential Equations Book

Numerical Methods for Nonlinear Partial Differential Equations


  • Author : Sören Bartels
  • Publisher : Springer
  • Release Date : 2015-01-19
  • Genre: Mathematics
  • Pages : 393
  • ISBN 10 : 9783319137971

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Numerical Methods for Nonlinear Partial Differential Equations Excerpt :

The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.

Mathematical and Computational Methods for Modelling  Approximation and Simulation Book

Mathematical and Computational Methods for Modelling Approximation and Simulation


  • Author : Domingo Barrera
  • Publisher : Springer Nature
  • Release Date : 2022-06-09
  • Genre: Mathematics
  • Pages : 256
  • ISBN 10 : 9783030943394

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Mathematical and Computational Methods for Modelling Approximation and Simulation Excerpt :

This book contains plenary lectures given at the International Conference on Mathematical and Computational Modeling, Approximation and Simulation, dealing with three very different problems: reduction of Runge and Gibbs phenomena, difficulties arising when studying models that depend on the highly nonlinear behaviour of a system of PDEs, and data fitting with truncated hierarchical B-splines for the adaptive reconstruction of industrial models. The book includes nine contributions, mostly related to quasi-interpolation. This is a topic that continues to register a high level of interest, both for those working in the field of approximation theory and for those interested in its use in a practical context. Two chapters address the construction of quasi-interpolants, and three others focus on the use of quasi-interpolation in solving integral equations. The remaining four concern a problem related to the heat diffusion equation, new results on the notion of convexity in probabilistic metric spaces (which are applied to the study of the existence and uniqueness of the solution of a Volterra equation), the use of smoothing splines to address an economic problem and, finally, the analysis of poverty measures, which is a topic of increased interest to society. The book is addressed to researchers interested in Applied Mathematics, with particular reference to the aforementioned topics.

Computational Methods in Earthquake Engineering Book

Computational Methods in Earthquake Engineering


  • Author : Manolis Papadrakakis
  • Publisher : Springer
  • Release Date : 2016-12-22
  • Genre: Technology & Engineering
  • Pages : 418
  • ISBN 10 : 9783319477985

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Computational Methods in Earthquake Engineering Excerpt :

This is the third book in a series on Computational Methods in Earthquake Engineering. The purpose of this volume is to bring together the scientific communities of Computational Mechanics and Structural Dynamics, offering a wide coverage of timely issues on contemporary Earthquake Engineering. This volume will facilitate the exchange of ideas in topics of mutual interest and can serve as a platform for establishing links between research groups with complementary activities. The computational aspects are emphasized in order to address difficult engineering problems of great social and economic importance.

Nonlinear Analysis  Problems  Applications and Computational Methods Book

Nonlinear Analysis Problems Applications and Computational Methods


  • Author : Zakia Hammouch
  • Publisher : Springer Nature
  • Release Date : 2020-11-13
  • Genre: Technology & Engineering
  • Pages : 249
  • ISBN 10 : 9783030622992

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Nonlinear Analysis Problems Applications and Computational Methods Excerpt :

This book is a collection of original research papers as proceedings of the 6th International Congress of the Moroccan Society of Applied Mathematics organized by Sultan Moulay Slimane University, Morocco, during 7th–9th November 2019. It focuses on new problems, applications and computational methods in the field of nonlinear analysis. It includes various topics including fractional differential systems of various types, time-fractional systems, nonlinear Jerk equations, reproducing kernel Hilbert space method, thrombin receptor activation mechanism model, labour force evolution model, nonsmooth vector optimization problems, anisotropic elliptic nonlinear problem, viscous primitive equations of geophysics, quadratic optimal control problem, multi-orthogonal projections and generalized continued fractions. The conference aimed at fostering cooperation among students, researchers and experts from diverse areas of applied mathematics and related sciences through fruitful deliberations on new research findings. This book is expected to be resourceful for researchers, educators and graduate students interested in applied mathematics and interactions of mathematics with other branches of science and engineering.

Fast Numerical Methods for Mixed Integer Nonlinear Model Predictive Control Book

Fast Numerical Methods for Mixed Integer Nonlinear Model Predictive Control


  • Author : Christian Kirches
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-11-23
  • Genre: Computers
  • Pages : 367
  • ISBN 10 : 9783834882028

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Fast Numerical Methods for Mixed Integer Nonlinear Model Predictive Control Excerpt :

Christian Kirches develops a fast numerical algorithm of wide applicability that efficiently solves mixed-integer nonlinear optimal control problems. He uses convexification and relaxation techniques to obtain computationally tractable reformulations for which feasibility and optimality certificates can be given even after discretization and rounding.

Numerical Methods for Unconstrained Optimization and Nonlinear Equations Book

Numerical Methods for Unconstrained Optimization and Nonlinear Equations


  • Author : J. E. Dennis, Jr.
  • Publisher : SIAM
  • Release Date : 1996-12-01
  • Genre: Mathematics
  • Pages : 394
  • ISBN 10 : 1611971209

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Numerical Methods for Unconstrained Optimization and Nonlinear Equations Excerpt :

This book has become the standard for a complete, state-of-the-art description of the methods for unconstrained optimization and systems of nonlinear equations. Originally published in 1983, it provides information needed to understand both the theory and the practice of these methods and provides pseudocode for the problems. The algorithms covered are all based on Newton's method or "quasi-Newton" methods, and the heart of the book is the material on computational methods for multidimensional unconstrained optimization and nonlinear equation problems. The republication of this book by SIAM is driven by a continuing demand for specific and sound advice on how to solve real problems. The level of presentation is consistent throughout, with a good mix of examples and theory, making it a valuable text at both the graduate and undergraduate level. It has been praised as excellent for courses with approximately the same name as the book title and would also be useful as a supplemental text for a nonlinear programming or a numerical analysis course. Many exercises are provided to illustrate and develop the ideas in the text. A large appendix provides a mechanism for class projects and a reference for readers who want the details of the algorithms. Practitioners may use this book for self-study and reference. For complete understanding, readers should have a background in calculus and linear algebra. The book does contain background material in multivariable calculus and numerical linear algebra.

Computational Methods in Nonlinear Structural and Solid Mechanics Book

Computational Methods in Nonlinear Structural and Solid Mechanics


  • Author : Ahmed K. Noor
  • Publisher : Elsevier
  • Release Date : 2014-05-20
  • Genre: Technology & Engineering
  • Pages : 470
  • ISBN 10 : 9781483145648

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Computational Methods in Nonlinear Structural and Solid Mechanics Excerpt :

Computational Methods in Nonlinear Structural and Solid Mechanics covers the proceedings of the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics. The book covers the development of efficient discretization approaches; advanced numerical methods; improved programming techniques; and applications of these developments to nonlinear analysis of structures and solids. The chapters of the text are organized into 10 parts according to the issue they tackle. The first part deals with nonlinear mathematical theories and formulation aspects, while the second part covers computational strategies for nonlinear programs. Part 3 deals with time integration and numerical solution of nonlinear algebraic equations, while Part 4 discusses material characterization and nonlinear fracture mechanics, and Part 5 tackles nonlinear interaction problems. The sixth part discusses seismic response and nonlinear analysis of concrete structure, and the seventh part tackles nonlinear problems for nuclear reactors. Part 8 covers crash dynamics and impact problems, while Part 9 deals with nonlinear problems of fibrous composites and advanced nonlinear applications. The last part discusses computerized symbolic manipulation and nonlinear analysis software systems. The book will be of great interest to numerical analysts, computer scientists, structural engineers, and other professionals concerned with nonlinear structural and solid mechanics.

Nonlinear Systems Book

Nonlinear Systems


  • Author : Anonim
  • Publisher : BoD – Books on Demand
  • Release Date : 2018-07-18
  • Genre: Mathematics
  • Pages : 262
  • ISBN 10 : 9781789234046

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Nonlinear Systems Excerpt :

This book focuses on several key aspects of nonlinear systems including dynamic modeling, state estimation, and stability analysis. It is intended to provide a wide range of readers in applied mathematics and various engineering disciplines an excellent survey of recent studies of nonlinear systems. With its thirteen chapters, the book brings together important contributions from renowned international researchers to provide an excellent survey of recent studies of nonlinear systems. The first section consists of eight chapters that focus on nonlinear dynamic modeling and analysis techniques, while the next section is composed of five chapters that center on state estimation methods and stability analysis for nonlinear systems.

Simulation Of Nonlinear Systems In Physics   Proceedings Of The Enea Workshops On Nonlinear Dynamics   Book

Simulation Of Nonlinear Systems In Physics Proceedings Of The Enea Workshops On Nonlinear Dynamics


  • Author : Pettini M
  • Publisher : World Scientific
  • Release Date : 1991-10-31
  • Genre: Uncategoriezed
  • Pages : 236
  • ISBN 10 : 9789814569729

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Simulation Of Nonlinear Systems In Physics Proceedings Of The Enea Workshops On Nonlinear Dynamics Excerpt :

Data mining and data modeling are hot topics and are under fast development. Because of their wide applications and rich research contents, many practitioners and academics are attracted to work in these areas. With a view to promoting communication and collaboration among the practitioners and researchers in Hong Kong, a workshop on data mining and modeling was held in June 2002. Prof Ngaiming Mok, Director of the Institute of Mathematical Research, The University of Hong Kong, and Prof Tze Leung Lai (Stanford University), C V Starr Professor of the University of Hong Kong, initiated the workshop.This book contains selected papers presented at the workshop. The papers fall into two main categories: data mining and data modeling. Data mining papers deal with pattern discovery, clustering algorithms, classification and practical applications in the stock market. Data modeling papers treat neural network models, time series models, statistical models and practical applications.

Computational Methods in Stochastic Dynamics Book

Computational Methods in Stochastic Dynamics


  • Author : Manolis Papadrakakis
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-10-03
  • Genre: Technology & Engineering
  • Pages : 356
  • ISBN 10 : 9789400751347

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Computational Methods in Stochastic Dynamics Excerpt :

The considerable influence of inherent uncertainties on structural behavior has led the engineering community to recognize the importance of a stochastic approach to structural problems. Issues related to uncertainty quantification and its influence on the reliability of the computational models are continuously gaining in significance. In particular, the problems of dynamic response analysis and reliability assessment of structures with uncertain system and excitation parameters have been the subject of continuous research over the last two decades as a result of the increasing availability of powerful computing resources and technology. This book is a follow up of a previous book with the same subject (ISBN 978-90-481-9986-0) and focuses on advanced computational methods and software tools which can highly assist in tackling complex problems in stochastic dynamic/seismic analysis and design of structures. The selected chapters are authored by some of the most active scholars in their respective areas and represent some of the most recent developments in this field. The book consists of 21 chapters which can be grouped into several thematic topics including dynamic analysis of stochastic systems, reliability-based design, structural control and health monitoring, model updating, system identification, wave propagation in random media, seismic fragility analysis and damage assessment. This edited book is primarily intended for researchers and post-graduate students who are familiar with the fundamentals and wish to study or to advance the state of the art on a particular topic in the field of computational stochastic structural dynamics. Nevertheless, practicing engineers could benefit as well from it as most code provisions tend to incorporate probabilistic concepts in the analysis and design of structures.