Modeling By Nonlinear Differential Equations
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Modeling By Nonlinear Differential Equations
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Author :
language : en
Publisher:
Release Date :
Modeling By Nonlinear Differential Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Modeling By Nonlinear Differential Equations
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Author : Paul Edgar Phillipson
language : en
Publisher: World Scientific
Release Date : 2009
Modeling By Nonlinear Differential Equations written by Paul Edgar Phillipson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
This book aims to provide mathematical analyses of nonlinear differential equations, which have proved pivotal to understanding many phenomena in physics, chemistry and biology. Topics of focus are autocatalysis and dynamics of molecular evolution, relaxation oscillations, deterministic chaos, reaction diffusion driven chemical pattern formation, solitons and neuron dynamics. Included is a discussion of processes from the viewpoints of reversibility, reflected by conservative classical mechanics, and irreversibility introduced by the dissipative role of diffusion. Each chapter presents the subject matter from the point of one or a few key equations, whose properties and consequences are amplified by approximate analytic solutions that are developed to support graphical display of exact computer solutions. Sample Chapter(s). Chapter 1: Theme and Contents of this Book (85 KB). Contents: Theme and Contents of this Book; Processes in closed and Open Systems; Dynamics of Molecular Evolution; Relaxation Oscillations; Order and Chaos; Reaction Diffusion Dynamics; Solitons; Neuron Pulse Propagation; Time Reversal, Dissipation and Conservation. Readership: Advanced undergraduates, graduate students and researchers in physics, chemistry, biology or bioinformatics who are interested in mathematical modeling.
Nonlinear Differential Equation Models
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Author : Ansgar Jüngel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Differential Equation Models written by Ansgar Jüngel 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 Mathematics categories.
The papers in this book originate from lectures which were held at the "Vienna Workshop on Nonlinear Models and Analysis" – May 20–24, 2002. They represent a cross-section of the research field Applied Nonlinear Analysis with emphasis on free boundaries, fully nonlinear partial differential equations, variational methods, quasilinear partial differential equations and nonlinear kinetic models.
Numerical Methods For Nonlinear Engineering Models
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Author : John R. Hauser
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-24
Numerical Methods For Nonlinear Engineering Models written by John R. Hauser 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 2009-03-24 with Technology & Engineering categories.
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.
Modelling With Ordinary Differential Equations
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Author : T.P. Dreyer
language : en
Publisher: CRC Press
Release Date : 1993-06-28
Modelling With Ordinary Differential Equations written by T.P. Dreyer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-28 with Mathematics categories.
Modelling with Ordinary Differential Equations integrates standard material from an elementary course on ordinary differential equations with the skills of mathematical modeling in a number of diverse real-world situations. Each situation highlights a different aspect of the theory or modeling. Carefully selected exercises and projects present excellent opportunities for tutorial sessions and self-study. This text/reference addresses common types of first order ordinary differential equations and the basic theory of linear second order equations with constant coefficients. It also explores the elementary theory of systems of differential equations, Laplace transforms, and numerical solutions. Theorems on the existence and uniqueness of solutions are a central feature. Topics such as curve fitting, time-delay equations, and phase plane diagrams are introduced. The book includes algorithms for computer programs as an integral part of the answer-finding process. Professionals and students in the social and biological sciences, as well as those in physics and mathematics will find this text/reference indispensable for self-study.
Extracting Knowledge From Time Series
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Author : Boris P. Bezruchko
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-03
Extracting Knowledge From Time Series written by Boris P. Bezruchko 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 2010-09-03 with Science categories.
Mathematical modelling is ubiquitous. Almost every book in exact science touches on mathematical models of a certain class of phenomena, on more or less speci?c approaches to construction and investigation of models, on their applications, etc. As many textbooks with similar titles, Part I of our book is devoted to general qu- tions of modelling. Part II re?ects our professional interests as physicists who spent much time to investigations in the ?eld of non-linear dynamics and mathematical modelling from discrete sequences of experimental measurements (time series). The latter direction of research is known for a long time as “system identi?cation” in the framework of mathematical statistics and automatic control theory. It has its roots in the problem of approximating experimental data points on a plane with a smooth curve. Currently, researchers aim at the description of complex behaviour (irregular, chaotic, non-stationary and noise-corrupted signals which are typical of real-world objects and phenomena) with relatively simple non-linear differential or difference model equations rather than with cumbersome explicit functions of time. In the second half of the twentieth century, it has become clear that such equations of a s- ?ciently low order can exhibit non-trivial solutions that promise suf?ciently simple modelling of complex processes; according to the concepts of non-linear dynamics, chaotic regimes can be demonstrated already by a third-order non-linear ordinary differential equation, while complex behaviour in a linear model can be induced either by random in?uence (noise) or by a very high order of equations.
Mathematical Modeling And Applications In Nonlinear Dynamics
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Author : Albert C.J. Luo
language : en
Publisher: Springer
Release Date : 2016-01-28
Mathematical Modeling And Applications In Nonlinear Dynamics written by Albert C.J. Luo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-28 with Technology & Engineering categories.
The book covers nonlinear physical problems and mathematical modeling, including molecular biology, genetics, neurosciences, artificial intelligence with classical problems in mechanics and astronomy and physics. The chapters present nonlinear mathematical modeling in life science and physics through nonlinear differential equations, nonlinear discrete equations and hybrid equations. Such modeling can be effectively applied to the wide spectrum of nonlinear physical problems, including the KAM (Kolmogorov-Arnold-Moser (KAM)) theory, singular differential equations, impulsive dichotomous linear systems, analytical bifurcation trees of periodic motions, and almost or pseudo- almost periodic solutions in nonlinear dynamical systems.
Differential Equations
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Author : Sergio E. Serrano
language : en
Publisher: Hydroscience Incorporated
Release Date : 2016-07-01
Differential Equations written by Sergio E. Serrano and has been published by Hydroscience Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-01 with Mathematics categories.
An introduction to ordinary differential equations and systems of ordinary differential equations, including new analytical methods to solve nonlinear equations, mathematical modeling, computer programming, computer graphics with Maple, and applications in science and engineering. ... a new textbook that will thoroughly revolutionize the teaching and learning of differential equations with the vital goal of student retention always in sight. Dr. Randolph Rach, original coauthor of the Adomian s Decomposition Method. New modern methods to solve nonlinear differential equations. Integrated, balanced presentation of model development, solution methods, computer implementation, and analysis of system s response. Designed to increase engineering and science student retention. Mathematical and computer modeling with Maple. No prior knowledge of Maple required. Emphasis on problem solving over mathematical rigorousness. Clear and simple presentation of concepts with multitude of examples: 125 solved examples, 70 computer programs, 146 proposed problems, 17 illustrations, 118 computer graphs, answers to problems, detailed bibliography. Preference of general, systematic, analytical methods over complex numerical methods. Self contained. Except for calculus, all necessary background is included."
Nonlinear Equations Methods Models And Applications
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Author : Daniela Lupo
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Nonlinear Equations Methods Models And Applications written by Daniela Lupo and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
A collection of research articles originating from the Workshop on Nonlinear Analysis and Applications held in Bergamo in July 2001. Classical topics of nonlinear analysis were considered, such as calculus of variations, variational inequalities, critical point theory and their use in various aspects of the study of elliptic differential equations and systems, equations of Hamilton-Jacobi, Schrödinger and Navier-Stokes, and free boundary problems. Moreover, various models were focused upon: travelling waves in supported beams and plates, vortex condensation in electroweak theory, information theory, non-geometrical optics, and Dirac-Fock models for heavy atoms.
Lectures On Nonlinear Differential Equation Models In Biology
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Author : James Dickson Murray
language : en
Publisher: Oxford University Press, USA
Release Date : 1977
Lectures On Nonlinear Differential Equation Models In Biology written by James Dickson Murray and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.