Numerical Solutions Of Realistic Nonlinear Phenomena

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Numerical Solutions Of Realistic Nonlinear Phenomena
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Author : J. A. Tenreiro Machado
language : en
Publisher: Springer Nature
Release Date : 2020-02-19
Numerical Solutions Of Realistic Nonlinear Phenomena written by J. A. Tenreiro Machado and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-19 with Mathematics categories.
This collection covers new aspects of numerical methods in applied mathematics, engineering, and health sciences. It provides recent theoretical developments and new techniques based on optimization theory, partial differential equations (PDEs), mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena. Specific topics covered in detail include new numerical methods for nonlinear partial differential equations, global optimization, unconstrained optimization, detection of HIV- Protease, modelling with new fractional operators, analysis of biological models, and stochastic modelling.
Mathematical Analysis For Engineering And Applied Sciences
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Author : Hemen Dutta
language : en
Publisher: CRC Press
Release Date : 2025-03-10
Mathematical Analysis For Engineering And Applied Sciences written by Hemen Dutta and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-10 with Mathematics categories.
The book explores a range of mathematical topics essential for application in engineering and applied sciences. It explores both the theoretical and practical aspects, providing a comprehensive foundation for the development of robust theories applicable to engineering and applied sciences. Mathematical Analysis for Engineering and Applied Sciences: Foundational and Fundamental Aspects discusses the essential mathematical principles that underpin the fields of applied science and engineering. This comprehensive book explores a blend of pure and applied mathematics, demonstrating how mathematical tools and techniques can be utilized to create a wide range of models for practical applications in these disciplines. It addresses the challenges of handling complex phenomena and provides algorithms, methods, and logical concepts that are invaluable for bioengineering, cryptosystems, surface modeling, and various other engineering applications. Individual researchers, educators, students, and department libraries will find this book of interest.
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.
The Optimal Homotopy Asymptotic Method
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Author : Vasile Marinca
language : en
Publisher: Springer
Release Date : 2015-04-02
The Optimal Homotopy Asymptotic Method written by Vasile Marinca and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-02 with Technology & Engineering categories.
This book emphasizes in detail the applicability of the Optimal Homotopy Asymptotic Method to various engineering problems. It is a continuation of the book “Nonlinear Dynamical Systems in Engineering: Some Approximate Approaches”, published at Springer in 2011 and it contains a great amount of practical models from various fields of engineering such as classical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines and so on. The main structure of the book consists of 5 chapters. The first chapter is introductory while the second chapter is devoted to a short history of the development of homotopy methods, including the basic ideas of the Optimal Homotopy Asymptotic Method. The last three chapters, from Chapter 3 to Chapter 5, are introducing three distinct alternatives of the Optimal Homotopy Asymptotic Method with illustrative applications to nonlinear dynamical systems. The third chapter deals with the first alternative of our approach with two iterations. Five applications are presented from fluid mechanics and nonlinear oscillations. The Chapter 4 presents the Optimal Homotopy Asymptotic Method with a single iteration and solving the linear equation on the first approximation. Here are treated 32 models from different fields of engineering such as fluid mechanics, thermodynamics, nonlinear damped and undamped oscillations, electrical machines and even from physics and biology. The last chapter is devoted to the Optimal Homotopy Asymptotic Method with a single iteration but without solving the equation in the first approximation.
Operations Research
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Author : Vilda Purutçuoğlu
language : en
Publisher: CRC Press
Release Date : 2025-05-13
Operations Research written by Vilda Purutçuoğlu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-13 with Mathematics categories.
Operational research (OR) methods are used in many fields of sciences like computer engineering, industrial engineering, social works, business management, medical studies and finance. This book, is the second book in the series of Operational Research (OR) books. It brings together the latest advances of these methods written by experts from all over the world. The book comprises 13 chapters and is split into four main parts, i.e., OR in supply chain management, OR in production planning and inventory management, OR in signal processing and OR in social sciences. The book contains recent methodologies and comprehensive reviews where necessary, so that readers can follow up to date progress in the field while observing various applications with large datasets. The data used in the book is available in public databases. Therefore, the reader can easily access them and try their own approaches for comparison. Furthermore, since the book covers the literature reviews in each chapter, readers can both follow other benchmark techniques in the field and learn the theoretical aspects of the selected methods. In conclusion, the book will be assist in the discovery of new avenues for novel researchers who are interested in OR methods.
Applications Of Nonlinear Dynamics
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Author : Visarath In
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-02-11
Applications Of Nonlinear Dynamics written by Visarath In 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 2009-02-11 with Technology & Engineering categories.
The ?eld of applied nonlinear dynamics has attracted scientists and engineers across many different disciplines to develop innovative ideas and methods to study c- plex behavior exhibited by relatively simple systems. Examples include: population dynamics, ?uidization processes, applied optics, stochastic resonance, ?ocking and ?ightformations,lasers,andmechanicalandelectricaloscillators. Acommontheme among these and many other examples is the underlying universal laws of nonl- ear science that govern the behavior, in space and time, of a given system. These laws are universal in the sense that they transcend the model-speci?c features of a system and so they can be readily applied to explain and predict the behavior of a wide ranging phenomena, natural and arti?cial ones. Thus the emphasis in the past decades has been in explaining nonlinear phenomena with signi?cantly less att- tion paid to exploiting the rich behavior of nonlinear systems to design and fabricate new devices that can operate more ef?ciently. Recently, there has been a series of meetings on topics such as Experimental Chaos, Neural Coding, and Stochastic Resonance, which have brought together many researchers in the ?eld of nonlinear dynamics to discuss, mainly, theoretical ideas that may have the potential for further implementation. In contrast, the goal of the 2007 ICAND (International Conference on Applied Nonlinear Dynamics) was focused more sharply on the implementation of theoretical ideas into actual - vices and systems.
Advanced Petroleum Reservoir Simulation
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Author : M. R. Islam
language : en
Publisher: John Wiley & Sons
Release Date : 2016-07-20
Advanced Petroleum Reservoir Simulation written by M. R. Islam and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-20 with Technology & Engineering categories.
This second edition of the original volume adds significant new innovations for revolutionizing the processes and methods used in petroleum reservoir simulations. With the advent of shale drilling, hydraulic fracturing, and underbalanced drilling has come a virtual renaissance of scientific methodologies in the oil and gas industry. New ways of thinking are being pioneered, and Dr. Islam and his team have, for years now, been at the forefront of these important changes. This book clarifies the underlying mathematics and physics behind reservoir simulation and makes it easy to have a range of simulation results along with their respective probability. This makes the risk analysis based on knowledge rather than guess work. The book offers by far the strongest tool for engineers and managers to back up reservoir simulation predictions with real science. The book adds transparency and ease to the process of reservoir simulation in way never witnessed before. Finally, No other book provides readers complete access to the 3D, 3-phase reservoir simulation software that is available with this text. A must-have for any reservoir engineer or petroleum engineer working upstream, whether in exploration, drilling, or production, this text is also a valuable textbook for advanced students and graduate students in petroleum or chemical engineering departments.
Practical Bifurcation And Stability Analysis
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Author : Rüdiger U. Seydel
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-27
Practical Bifurcation And Stability Analysis written by Rüdiger U. Seydel 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 2009-11-27 with Mathematics categories.
Fifteen years have elapsed after the second edition of Practical Bifurcation and Stability Analysis was published. During that time period the ?eld of computational bifurcation has become mature. Today, bifurcation mec- nisms are widely accepted as decisive phenomena for explaining and - derstanding stability and structural change. Along with the high level of sophistication that bifurcation analysis has reached, the research on basic computational bifurcation algorithms is essentially completed, at least in - dinary di?erential equations. The focus has been shifting from mathematical foundations towards applications. The evolution from equilibrium to chaos has become commonplace and is no longer at the cutting edge of innovation. But the corresponding methods of practical bifurcation and stability analysis remain indispensable instruments in all applications of mathematics. This constant need for practical bifur- tion and stability analysis has stimulated an e?ort to maintain this book on a present-day level. The author’s endeavor has resulted in this third edition. It is based on more than three decades of practical experience with the subject, and on many courses given at several universities.
Molecular Electronics And Molecular Electronic Devices
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Author : Kristof Sienicki
language : en
Publisher: CRC Press
Release Date : 1993-09-27
Molecular Electronics And Molecular Electronic Devices written by Kristof Sienicki and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09-27 with Technology & Engineering categories.
Molecular Electronics and Molecular Electronic Devices is a book that provides a comprehensive review of current problems and information regarding aspects of molecular electronics and molecular electronic devices. Experimental and theoretical aspects of molecular electronics and molecular electronic devices are reviewed by distinguished researchers working in chemistry, physics, computer science, and various areas of biology. These books will be an excellent reference for physicists, chemists, electronics engineers and researchers interested in molecular electronics and molecular electronic devices.
Numerical Solution Of Nonlinear Structural Problems
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Author : American Society of Mechanical Engineers. Committee on Computing in Applied Mechanics
language : en
Publisher:
Release Date : 1973
Numerical Solution Of Nonlinear Structural Problems written by American Society of Mechanical Engineers. Committee on Computing in Applied Mechanics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Electronic data processing categories.