Iterative Algebra And Dynamic Modeling PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Iterative Algebra And Dynamic Modeling PDF full book. Access full book title Iterative Algebra And Dynamic Modeling.
Author | : Kurt Kreith |
Publisher | : Springer Science & Business Media |
Total Pages | : 350 |
Release | : 1999-06-22 |
Genre | : Mathematics |
ISBN | : 9780387987583 |
Download Iterative Algebra and Dynamic Modeling Book in PDF, ePub and Kindle
Iterative Algebra and Dynamic Modeling links together the use of technology (Excel spreadsheets, Stella modeling software) and modern mathematical techniques to explore the interaction of algebra (at the pre-calculus level) with computer and graphing calculator technology. This book was developed to teach modern applications of mathematics at an introductory level. It is based on the authors well-received teacher-training workshops using the materials.
Author | : Edward Beltrami |
Publisher | : Academic Press |
Total Pages | : 294 |
Release | : 2014-05-10 |
Genre | : Technology & Engineering |
ISBN | : 1483267865 |
Download Mathematics for Dynamic Modeling Book in PDF, ePub and Kindle
Mathematics for Dynamic Modeling provides an introduction to the mathematics of dynamical systems. This book presents the mathematical formulations in terms of linear and nonlinear differential equations. Organized into two parts encompassing nine chapters, this book begins with an overview of the notions of equilibrium and stability in differential equation modeling that occur in the guise of simple models in the plane. This text then focuses on nonlinear models in which the limiting behavior of orbits can be more complicated. Other chapters consider the problems that illustrate the concepts of equilibrium and stability, limit cycles, chaos, and bifurcation. This book discusses as well a variety of topics, including cusp catastrophes, strange attractors, and reaction–diffusion and shock phenomena. The final chapter deals with models that are based on the notion of optimization. This book is intended to be suitable for students in upper undergraduate and first-year graduate course in mathematical modeling.
Author | : James T. Sandefur |
Publisher | : Oxford University Press, USA |
Total Pages | : 448 |
Release | : 1993 |
Genre | : Mathematics |
ISBN | : 9780195084382 |
Download Discrete Dynamical Modeling Book in PDF, ePub and Kindle
An introduction to a wide range of techniques and applications used in dynamical mathematical modelling. Emphasizing algebraic concepts, the text encourages students to develop a different manner of thinking about mathematics in order to apply mathematical concepts to other fields.
Author | : Sergio Amat |
Publisher | : Springer |
Total Pages | : 286 |
Release | : 2018-05-03 |
Genre | : Mathematics |
ISBN | : 9783319818450 |
Download Advances in Iterative Methods for Nonlinear Equations Book in PDF, ePub and Kindle
This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical modeling. In particular, a wide range of problems in Applied Mathematics and in Engineering can be solved by finding the solutions to these equations. The book reveals the importance of studying convergence aspects in iterative methods and shows that selection of the most efficient and robust iterative method for a given problem is crucial to guaranteeing a good approximation. A number of sample criteria for selecting the optimal method are presented, including those regarding the order of convergence, the computational cost, and the stability, including the dynamics. This book will appeal to researchers whose field of interest is related to nonlinear problems and equations, and their approximation.
Author | : Ioannis Konstantinos Argyros |
Publisher | : CRC Press |
Total Pages | : 366 |
Release | : 2017-07-12 |
Genre | : Mathematics |
ISBN | : 1498763626 |
Download Iterative Methods and Their Dynamics with Applications Book in PDF, ePub and Kindle
Iterative processes are the tools used to generate sequences approximating solutions of equations describing real life problems. Intended for researchers in computational sciences and as a reference book for advanced computational method in nonlinear analysis, this book is a collection of the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces and presents several applications and connections with fixed point theory. It contains an abundant and updated bibliography and provides comparisons between various investigations made in recent years in the field of computational nonlinear analysis. The book also provides recent advancements in the study of iterative procedures and can be used as a source to obtain the proper method to use in order to solve a problem. The book assumes a basic background in Mathematical Statistics, Linear Algebra and Numerical Analysis and may be used as a self-study reference or as a supplementary text for an advanced course in Biosciences or Applied Sciences. Moreover, the newest techniques used to study the dynamics of iterative methods are described and used in the book and they are compared with the classical ones.
Author | : Ioannis K. Argyros |
Publisher | : Springer Science & Business Media |
Total Pages | : 513 |
Release | : 2008-06-12 |
Genre | : Mathematics |
ISBN | : 0387727434 |
Download Convergence and Applications of Newton-type Iterations Book in PDF, ePub and Kindle
This monograph is devoted to a comprehensive treatment of iterative methods for solving nonlinear equations with particular emphasis on semi-local convergence analysis. Theoretical results are applied to engineering, dynamic economic systems, input-output systems, nonlinear and linear differential equations, and optimization problems. Accompanied by many exercises, some with solutions, the book may be used as a supplementary text in the classroom for an advanced course on numerical functional analysis.
Author | : A. J. Roberts |
Publisher | : SIAM |
Total Pages | : 760 |
Release | : 2014-12-18 |
Genre | : Mathematics |
ISBN | : 1611973554 |
Download Model Emergent Dynamics in Complex Systems Book in PDF, ePub and Kindle
Arising out of the growing interest in and applications of modern dynamical systems theory, this book explores how to derive relatively simple dynamical equations that model complex physical interactions. The author’s objectives are to use sound theory to explore algebraic techniques, develop interesting applications, and discover general modeling principles. Model Emergent Dynamics in Complex Systems unifies into one powerful and coherent approach the many varied extant methods for mathematical model reduction and approximation. Using mathematical models at various levels of resolution and complexity, the book establishes the relationships between such multiscale models and clarifying difficulties and apparent paradoxes and addresses model reduction for systems, resolves initial conditions, and illuminates control and uncertainty. The basis for the author’s methodology is the theory and the geometric picture of both coordinate transforms and invariant manifolds in dynamical systems; in particular, center and slow manifolds are heavily used. The wonderful aspect of this approach is the range of geometric interpretations of the modeling process that it produces—simple geometric pictures inspire sound methods of analysis and construction. Further, pictures drawn of state spaces also provide a route to better assess a model’s limitations and strengths. Geometry and algebra form a powerful partnership and coordinate transforms and manifolds provide a powerfully enhanced and unified view of a swathe of other complex system modeling methodologies such as averaging, homogenization, multiple scales, singular perturbations, two timing, and WKB theory. Audience Advanced undergraduate and graduate students, engineers, scientists, and other researchers who need to understand systems and modeling at different levels of resolution and complexity will all find this book useful.
Author | : Granino Arthur Korn |
Publisher | : CRC Press |
Total Pages | : 234 |
Release | : 1998-10-28 |
Genre | : Technology & Engineering |
ISBN | : 9789056991562 |
Download Interactive Dynamic-System Simulation Book in PDF, ePub and Kindle
A hands-on tutorial, covering interactive simulation of dynamical systems such as aerospace vehicles, power plants, chemical processes, control systems, and physiological systems. In practice, simulation experiments are employed for iterative decision-making, whereby programs are run, modified, and run again and again. It is very important to emphasize interactive simulation programming. To this end, the user-friendly Microsoft Windows 95 interface is combined with the DESIRE (Direct Executing Simulation) language. The first chapter introduces dynamical system models and the principles of differential-equation-solving problems. The following chapters provide a tutorial on effective simulation programming, with examples from physics, aerospace, engineering, population dynamics, and physiology. The remaining chapters provide more detailed programming know-how.
Author | : Daniele Bertaccini |
Publisher | : CRC Press |
Total Pages | : 366 |
Release | : 2018-02-19 |
Genre | : Mathematics |
ISBN | : 1351649612 |
Download Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications Book in PDF, ePub and Kindle
This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems. The solution of large and sparse linear systems is the most time-consuming part for most of the scientific computing simulations. Indeed, mathematical models become more and more accurate by including a greater volume of data, but this requires the solution of larger and harder algebraic systems. In recent years, research has focused on the efficient solution of large sparse and/or structured systems generated by the discretization of numerical models by using iterative solvers.
Author | : Professor Vasilis Z. Marmarelis |
Publisher | : John Wiley & Sons |
Total Pages | : 564 |
Release | : 2004-09-03 |
Genre | : Medical |
ISBN | : 9780471469605 |
Download Nonlinear Dynamic Modeling of Physiological Systems Book in PDF, ePub and Kindle
The study of nonlinearities in physiology has been hindered by the lack of effective ways to obtain nonlinear dynamic models from stimulus-response data in a practical context. A considerable body of knowledge has accumulated over the last thirty years in this area of research. This book summarizes that progress, and details the most recent methodologies that offer practical solutions to this daunting problem. Implementation and application are discussed, and examples are provided using both synthetic and actual experimental data. This essential study of nonlinearities in physiology apprises researchers and students of the latest findings and techniques in the field.