Newton S Method And Dynamical Systems
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Newton S Method And Dynamical Systems
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Author : H.-O. Peitgen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Newton S Method And Dynamical Systems written by H.-O. Peitgen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Solving Nonlinear Equations With Newton S Method
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Author : C. T. Kelley
language : en
Publisher: SIAM
Release Date : 2003-01-01
Solving Nonlinear Equations With Newton S Method written by C. T. Kelley and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Mathematics categories.
This book on Newton's method is a user-oriented guide to algorithms and implementation. In just over 100 pages, it shows, via algorithms in pseudocode, in MATLAB, and with several examples, how one can choose an appropriate Newton-type method for a given problem, diagnose problems, and write an efficient solver or apply one written by others. It contains trouble-shooting guides to the major algorithms, their most common failure modes, and the likely causes of failure. It also includes many worked-out examples (available on the SIAM website) in pseudocode and a collection of MATLAB codes, allowing readers to experiment with the algorithms easily and implement them in other languages.
Dynamical Systems Graphs And Algorithms
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Author : George Osipenko
language : en
Publisher: Springer
Release Date : 2006-10-28
Dynamical Systems Graphs And Algorithms written by George Osipenko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-28 with Mathematics categories.
This book describes a family of algorithms for studying the global structure of systems. By a finite covering of the phase space we construct a directed graph with vertices corresponding to cells of the covering and edges corresponding to admissible transitions. The method is used, among other things, to locate the periodic orbits and the chain recurrent set, to construct the attractors and their basins, to estimate the entropy, and more.
Structural Dynamic Systems Computational Techniques And Optimization
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Author : Cornelius T. Leondes
language : en
Publisher: Routledge
Release Date : 2021-09-01
Structural Dynamic Systems Computational Techniques And Optimization written by Cornelius T. Leondes and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-01 with Mathematics categories.
The finite element, an approximation method for solving differential equations of mathematical physics, is a highly effective technique in the analysis and design, or synthesis, of structural dynamic systems. Starting from the system differential equations and its boundary conditions, what is referred to as a weak form of the problem (elaborated in the text) is developed in a variational sense. This variational statement is used to define elemental properties that may be written as matrices and vectors as well as to identify primary and secondary boundaries and all possible boundary conditions. Specific equilibrium problems are also solved. This book clearly reveals the effectiveness and great significance of the finite element method available and the essential role it will play in the future as further development occurs.
Semismooth Newton Methods For Variational Inequalities And Constrained Optimization Problems In Function Spaces
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Author : Michael Ulbrich
language : en
Publisher: SIAM
Release Date : 2011-01-01
Semismooth Newton Methods For Variational Inequalities And Constrained Optimization Problems In Function Spaces written by Michael Ulbrich and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Mathematics categories.
Semismooth Newton methods are a modern class of remarkably powerful and versatile algorithms for solving constrained optimization problems with partial differential equations (PDEs), variational inequalities, and related problems. This book provides a comprehensive presentation of these methods in function spaces, striking a balance between thoroughly developed theory and numerical applications. Although largely self-contained, the book also covers recent developments in the field, such as state-constrained problems, and offers new material on topics such as improved mesh independence results. The theory and methods are applied to a range of practically important problems, including: optimal control of nonlinear elliptic differential equations, obstacle problems, and flow control of instationary Navier-Stokes fluids. In addition, the author covers adjoint-based derivative computation and the efficient solution of Newton systems by multigrid and preconditioned iterative methods.
Iterative Methods For Linear And Nonlinear Equations
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Author : C. T. Kelley
language : en
Publisher: SIAM
Release Date : 1995-01-01
Iterative Methods For Linear And Nonlinear Equations written by C. T. Kelley and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Mathematics categories.
Mathematics of Computing -- Numerical Analysis.
Newton Methods For Nonlinear Problems
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Author : Peter Deuflhard
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-01-13
Newton Methods For Nonlinear Problems written by Peter Deuflhard and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-13 with Mathematics categories.
This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite and in infinite dimension. Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. Lots of numerical illustrations, comparison tables, and exercises make the text useful in computational mathematics classes. At the same time, the book opens many directions for possible future research.
Control And Dynamic Systems V41 Analysis And Control System Techniques For Electric Power Systems Part 1 Of 4
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Author : C.T. Leonides
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Control And Dynamic Systems V41 Analysis And Control System Techniques For Electric Power Systems Part 1 Of 4 written by C.T. Leonides and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Analysis and Control System Techniques for Electric Power Systems, Part 1 is the first volume of a four volume sequence in this series devoted to the significant theme of ""Analysis and Control Techniques for Electric Power Systems."" The broad topics involved include transmission line and transformer modeling. Since the issues in these two fields are rather well in hand, although advances continue to be made, this four volume sequence will focus on advances in areas including power flow analysis, economic operation of power systems, generator modeling, power system stability, voltage and power control techniques, and system protection, among others. This book comprises seven chapters, with the first focusing on modern approaches to modeling and control of electric power systems. Succeeding chapters then discuss dynamic state estimation techniques for large-scale electric power systems; optimal power how algorithms; sparsity in large-scale network computation; techniques for decentralized control for interconnected systems; knowledge based systems for power system security assessment; and neural networks and their application to power engineering. This book will be of interest to practitioners in the fields of electrical and computer engineering.
Control And Dynamic Systems V42 Analysis And Control System Techniques For Electric Power Systems Part 2
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Author : C.T. Leonides
language : en
Publisher: Academic Press
Release Date : 2012-12-02
Control And Dynamic Systems V42 Analysis And Control System Techniques For Electric Power Systems Part 2 written by C.T. Leonides and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Technology & Engineering categories.
Control and Dynamic Systems: Advances in Theory and Applications, Volume 42: Analysis and Control System Techniques for Electric Power Systems, Part 2 of 4 covers the research studies on the significant advances in areas including economic operation of power systems and voltage and power control techniques. This book is composed of eight chapters and begins with a survey of the application of parallel processing to power system analysis as motivated by the requirement for faster computation. The next chapters deal with the issues of power system protection from a system point of view, the voltage stability phenomenon, and an overview of the techniques used in the reliability evaluation of large electric power systems. These chapters also look into the reliability assessment of bulk power systems, which are the composite of generation and high-voltage transmission, often called composite systems. These topics are followed by investigations of the potential of integer quadratic optimization to improve efficiency in a radial electric distribution system through the coordination of switched capacitors and regulators. Other chapters consider the issues of the optimal operation of a power system that are substantially complicated as a result of the large system scale nature of these issues. The final chapters explore the techniques for achieving requisite speed improvements that are essential to electric power systems and the problems on effective methods in hydro optimization. This book will be of value to electrical engineers, designers, and researchers.
Introduction To Embedded Systems And Robotics
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Author : Nayan M. Kakoty
language : en
Publisher: Springer Nature
Release Date : 2024-12-12
Introduction To Embedded Systems And Robotics written by Nayan M. Kakoty and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-12 with Technology & Engineering categories.
This book is a technical guide to fundamentals of embedded systems and robotics, and their application to practical problems. The book hosts the concepts of different elements related to the amalgamation of embedded system and robotics before tackling the physics of robotic systems. This book is the ABC of embedded system and robotics: A for acquiring the concepts, B for building robotic systems, and C for creating solutions. It is appropriate for undergraduate and post-graduate students of electronics and electrical engineering, robotics engineering, computer science and engineering, mechanical engineering, and allied disciplines. Specifically, it will act as a guide for students doing robotics projects in their final semesters.