Author: Samuel ShyePublisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 404
Book Description
Multiple Scaling
Author: Samuel ShyePublisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 404
Book Description
Applications of Multiple Scaling in Mechanics
Author: Philippe G. CiarletPublisher: Elsevier Masson
ISBN:
Category : Continuum mechanics
Languages : en
Pages : 368
Book Description
A Theory and Procedure of Scale Analysis
Author: R. J. MokkenPublisher: Walter de Gruyter
ISBN: 3110813203
Category : Social Science
Languages : en
Pages : 369
Book Description
Multiple Scale and Singular Perturbation Methods
Author: J.K. KevorkianPublisher: Springer Science & Business Media
ISBN: 1461239680
Category : Mathematics
Languages : en
Pages : 642
Book Description
This book is a revised and updated version, including a substantial portion of new material, of our text Perturbation Methods in Applied Mathematics (Springer Verlag, 1981). We present the material at a level that assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as a text in either an advanced undergraduate course or a graduate-level course on the subject. Perturbation methods, first used by astronomers to predict the effects of small disturbances on the nominal motions of celestial bodies, have now become widely used analytical tools in virtually all branches of science. A problem lends itself to perturbation analysis if it is "close" to a simpler problem that can be solved exactly. Typically, this closeness is measured by the occurrence of a small dimensionless parameter, E, in the governing system (consisting of differential equations and boundary conditions) so that for E = 0 the resulting system is exactly solvable. The main mathematical tool used is asymptotic expansion with respect to a suitable asymptotic sequence of functions of E. In a regular perturbation problem, a straightforward procedure leads to a system of differential equations and boundary conditions for each term in the asymptotic expansion. This system can be solved recursively, and the accuracy of the result improves as E gets smaller, for all values of the independent variables throughout the domain of interest. We discuss regular perturbation problems in the first chapter.
Multiple Scale and Singular Perturbation Methods
Author: J.K. KevorkianPublisher: Springer
ISBN: 0387942025
Category : Mathematics
Languages : en
Pages : 634
Book Description
This book is a revised and updated version, including a substantial portion of new material, of our text Perturbation Methods in Applied Mathematics (Springer Verlag, 1981). We present the material at a level that assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as a text in either an advanced undergraduate course or a graduate-level course on the subject. Perturbation methods, first used by astronomers to predict the effects of small disturbances on the nominal motions of celestial bodies, have now become widely used analytical tools in virtually all branches of science. A problem lends itself to perturbation analysis if it is "close" to a simpler problem that can be solved exactly. Typically, this closeness is measured by the occurrence of a small dimensionless parameter, E, in the governing system (consisting of differential equations and boundary conditions) so that for E = 0 the resulting system is exactly solvable. The main mathematical tool used is asymptotic expansion with respect to a suitable asymptotic sequence of functions of E. In a regular perturbation problem, a straightforward procedure leads to a system of differential equations and boundary conditions for each term in the asymptotic expansion. This system can be solved recursively, and the accuracy of the result improves as E gets smaller, for all values of the independent variables throughout the domain of interest. We discuss regular perturbation problems in the first chapter.
Multiple Time Scale Dynamics
Author: Christian KuehnPublisher: Springer
ISBN: 3319123165
Category : Mathematics
Languages : en
Pages : 816
Book Description
This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a wide variety of different mathematical techniques into a more unified framework. The book is highly illustrated with many examples and exercises and an extensive bibliography. The target audience of this book are senior undergraduates, graduate students as well as researchers interested in using the multiple time scale dynamics theory in nonlinear science, either from a theoretical or a mathematical modeling perspective.
Diagonal Infinity, The: Problems Of Multiple Scales (With Cd-rom)
Author: Haci-murat HubeyPublisher: World Scientific
ISBN: 9814497606
Category : Computers
Languages : en
Pages : 546
Book Description
Contents:Diagonal of DiagonalizationDiagonal of a Single Dimension: Redefinition Limit OrdinalInfinite NumbersSimple Orthogonal Functions and Other Periodic FunctionsMore Parametric Fractals and Transfinites AgainThe Iteration MachineLinear Equations and PeriodicityIntermittency and Fluctuating FrequencyDifferent Kind of IntermittencySerial Language or Parallel PictureSemantics of ConnectivesContinuous Infinite Valued LogicsKnowledge and ProvabilityThe Turing Test and IntelligenceLife's Metalogical Koansand other topics Readership: Computer scientists and mathematicians. keywords:Diagonal Proofs;Nonlinear Differential Equations;Fuzzy Logic;Infinity;Infinite Sets “This book is well written and contains interesting philosophical ideas.” Zentralblatt MATH
Multidimensional Scaling
Author: Joseph B. KruskalPublisher: SAGE Publications
ISBN: 1506320880
Category : Social Science
Languages : en
Pages : 100
Book Description
Outlines a set of techniques that enables a researcher to explore the hidden structure of large databases. These techniques use proximities to find a configuration of points that reflect the structure in the data.
Advances in Computational Intelligence
Author: Fei-Yue WangPublisher: World Scientific
ISBN: 9812773924
Category : Technology & Engineering
Languages : en
Pages : 478
Book Description
Computational Intelligence (CI) is a recently emerging area in fundamental and applied research, exploiting a number of advanced information processing technologies that mainly embody neural networks, fuzzy logic and evolutionary computation. With a major concern to exploiting the tolerance for imperfection, uncertainty, and partial truth to achieve tractability, robustness and low solution cost, it becomes evident that composing methods of CI should be working concurrently rather than separately. It is this conviction that research on the synergism of CI paradigms has experienced significant growth in the last decade with some areas nearing maturity while many others remaining unresolved. This book systematically summarizes the latest findings and sheds light on the respective fields that might lead to future breakthroughs. Contents: A Quest for Granular Computing and Logic Processing (W Pedrycz); Abstraction and Linguistic Analysis of Conventional Numerical Dynamic Systems (F-Y Wang); Slicing: A Distributed Learning Approach (S A Eschrich & L O Hall); Marginal Learning Algorithms in Statistical Machine Learning (Q Tao & J Wang); Constraint Handling in Genetic Algorithm for Optimization (G G Yen); Hybrid PSO-EA Algorithm for Training Feedforward and Recurrent Neural Networks for Challenging Problems (X Cai et al.); Modular Wavelet-Fuzzy Networks (Y Lin & F-Y Wang); Ant Colony Algorithms: The State-of-the-Art (J Zhang et al.); Motif Discoveries in DNA and Protein Sequences Using Self-Organizing Neural Networks (D Liu & X Xiong); Computational Complexities of Combinatorial Problems with Applications to Reverse Engineering of Biological Networks (P Berman et al.); Advances in Fingerprint Recognition Algorithms with Application (J Tian et al.); Adaptation and Predictive Control Observed in Neuromuscular Control Systems (J He); Robust Adaptive Approximation Based Backstepping via Localized Adaptive Bounding (Y Zhao & J A Farrell); Dynamically Connected Fuzzy Single Input Rule Modules and Application to Underactuated Systems (J Yi et al.). Readership: Researchers, graduate and senior level undergraduate students in electrical & electronic engineering, computer engineering, neural networks, fuzzy logic and artificial intelligence.
Lasers, Molecules, and Methods, Volume 73
Author: Joseph O. HirschfelderPublisher: John Wiley & Sons
ISBN: 0470141832
Category : Science
Languages : en
Pages : 1042
Book Description
Based on a symposium on lasers, molecules, and methods held at the Los Alamos Center for Nonlinear Studies held in July 1986. Contributors present recent advances in theoretical and experimental research on a diversity of dynamical and optical phenomena resulting from the interactions of laser beams with molecules. They describe the predictive results of sophisticated mathematical models, the equipment involved in experiments, and reveal new insights into molecular structure and behavior.