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

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  • Publisher : Elsevier
  • Release : 11 April 2007
  • ISBN : 0080475388
  • Page : 322 pages
  • Rating : 4.5/5 from 103 voters

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

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

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

Computational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett
  • Author : Anatoli Torokhti,Phil Howlett
  • Publisher : Elsevier
  • Release Date : 2007-04-11
  • ISBN : 0080475388
DOWNLOAD BOOKComputational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett

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

Adaptive Learning Methods for Nonlinear System Modeling

Adaptive Learning Methods for Nonlinear System Modeling
  • Author : Danilo Comminiello,Jose C. Principe
  • Publisher : Butterworth-Heinemann
  • Release Date : 2018-06-11
  • ISBN : 9780128129777
DOWNLOAD BOOKAdaptive Learning Methods for Nonlinear System Modeling

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

Computational Methods for Modeling of Nonlinear Systems

Computational Methods for Modeling of Nonlinear Systems
  • Author : Anatoli Torokhti,Phil Howlett
  • Publisher : Elsevier Science Limited
  • Release Date : 1967-02-12
  • ISBN : 0124708501
DOWNLOAD BOOKComputational Methods for Modeling of Nonlinear Systems

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

Computational Methods for Modeling of Nonlinear Systems

Computational Methods for Modeling of Nonlinear Systems
  • Author : Anatoli Torokhti,Phil Howlett
  • Publisher : Elsevier Science Limited
  • Release Date : 1967
  • ISBN : 0124474500
DOWNLOAD BOOKComputational Methods for Modeling of Nonlinear Systems

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

Introduction to Stochastic Control Theory

Introduction to Stochastic Control Theory
  • Author : Anonim
  • Publisher : Elsevier Science
  • Release Date : 1970-12-12
  • ISBN : 0120656507
DOWNLOAD BOOKIntroduction to Stochastic Control Theory

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

Numerical Methods for Nonlinear Engineering Models

Numerical Methods for Nonlinear Engineering Models
  • Author : John R. Hauser
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-03-24
  • ISBN : 9781402099205
DOWNLOAD BOOKNumerical Methods for Nonlinear Engineering Models

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

Numerical Methods for Nonlinear Partial Differential Equations

Numerical Methods for Nonlinear Partial Differential Equations
  • Author : Sören Bartels
  • Publisher : Springer
  • Release Date : 2015-01-19
  • ISBN : 9783319137971
DOWNLOAD BOOKNumerical Methods for Nonlinear Partial Differential Equations

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

Computational Solution of Nonlinear Systems of Equations

Computational Solution of Nonlinear Systems of Equations
  • Author : Eugene L. Allgower,Kurt Georg
  • Publisher : American Mathematical Soc.
  • Release Date : 1990-04-03
  • ISBN : 0821896946
DOWNLOAD BOOKComputational Solution of Nonlinear Systems of Equations

Nonlinear equations arise in essentially every branch of modern science, engineering, and mathematics. However, in only a very few special cases is it possible to obtain useful solutions to nonlinear equations via analytical calculations. As a result, many scientists resort to computational methods. This book contains the proceedings of the Joint AMS-SIAM Summer Seminar, ``Computational Solution of Nonlinear Systems of Equations,'' held in July 1988 at Colorado State University. The aim of the book is to give a wide-ranging survey

Computational Methods in Nonlinear Analysis

Computational Methods in Nonlinear Analysis
  • Author : Ioannis K. Argyros,Sa‹d Hilout
  • Publisher : World Scientific
  • Release Date : 2013
  • ISBN : 9789814405836
DOWNLOAD BOOKComputational Methods in Nonlinear Analysis

The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient computational methods for finding the solutions of fixed point problems, nonlinear equations and variational inclusions are the first goal

Mathematical and Computational Methods for Modelling, Approximation and Simulation

Mathematical and Computational Methods for Modelling, Approximation and Simulation
  • Author : Domingo Barrera,Sara Remogna,Driss Sbibih
  • Publisher : Springer Nature
  • Release Date : 2022-06-09
  • ISBN : 9783030943394
DOWNLOAD BOOKMathematical and Computational Methods for Modelling, Approximation and Simulation

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

Computational Methods in Earthquake Engineering

Computational Methods in Earthquake Engineering
  • Author : Manolis Papadrakakis,Vagelis Plevris,Nikos D. Lagaros
  • Publisher : Springer
  • Release Date : 2016-12-22
  • ISBN : 9783319477985
DOWNLOAD BOOKComputational Methods in Earthquake Engineering

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

Nonlinear Analysis: Problems, Applications and Computational Methods

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  • Author : Zakia Hammouch,Hemen Dutta,Said Melliani,Michael Ruzhansky
  • Publisher : Springer Nature
  • Release Date : 2020-11-13
  • ISBN : 9783030622992
DOWNLOAD BOOKNonlinear Analysis: Problems, Applications and Computational Methods

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

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  • Author : Christian Kirches
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-11-23
  • ISBN : 9783834882028
DOWNLOAD BOOKFast Numerical Methods for Mixed-Integer Nonlinear Model-Predictive Control

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

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  • Author : J. E. Dennis, Jr.,Robert B. Schnabel
  • Publisher : SIAM
  • Release Date : 1996-12-01
  • ISBN : 1611971209
DOWNLOAD BOOKNumerical Methods for Unconstrained Optimization and Nonlinear Equations

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

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  • Author : Ahmed K. Noor,Harvey G. McComb
  • Publisher : Elsevier
  • Release Date : 2014-05-20
  • ISBN : 9781483145648
DOWNLOAD BOOKComputational Methods in Nonlinear Structural and Solid Mechanics

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