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Stochastic Versus Deterministic Systems Of Iterative Processes
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Book Synopsis Stochastic Versus Deterministic Systems Of Iterative Processes by : Gangaram S Ladde
Download or read book Stochastic Versus Deterministic Systems Of Iterative Processes written by Gangaram S Ladde and published by World Scientific. This book was released on 2024-04-22 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuous state dynamic models can be reformulated into discrete state processes. This process generates numerical schemes that lead theoretical iterative schemes. This type of method of stochastic modelling generates three basic problems. First, the fundamental properties of solution, namely, existence, uniqueness, measurability, continuous dependence on system parameters depend on mode of convergence. Second, the basic probabilistic and statistical properties, namely, the behavior of mean, variance, moments of solutions are described as qualitative/quantitative properties of solution process. We observe that the nature of probability distribution or density functions possess the qualitative/quantitative properties of iterative prosses as a special case. Finally, deterministic versus stochastic modelling of dynamic processes is to what extent the stochastic mathematical model differs from the corresponding deterministic model in the absence of random disturbances or fluctuations and uncertainties.Most literature in this subject was developed in the 1950s, and focused on the theory of systems of continuous and discrete-time deterministic; however, continuous-time and its approximation schemes of stochastic differential equations faced the solutions outlined above and made slow progress in developing problems. This monograph addresses these problems by presenting an account of stochastic versus deterministic issues in discrete state dynamic systems in a systematic and unified way.
Book Synopsis Stochastic Versus Deterministic Systems of Iterative Processes by : Gangaram S Ladde
Download or read book Stochastic Versus Deterministic Systems of Iterative Processes written by Gangaram S Ladde and published by . This book was released on 2024-06-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: State continuous dynamic models can be reformulated into discrete state processes. This process generates numerical schemes that lead theoretical iterative schemes. This type of method of stochastic modelling generates three basic problems. First, the fundamental properties of solution, namely, existence, uniqueness, measurability, continuous dependence on system parameters depend mode of convergence. Second, the basic probabilistic and statistical properties mean, variance, moments of qualitative/quantitative behaviour of solutions are directly described as concept of solution process or via probability distribution or density functions either. Finally, deterministic versus stochastic modelling of dynamic processes is to what extent the stochastic mathematical model differs from the corresponding deterministic model in the absence of random disturbances or fluctuations and uncertainties.Most literature in this subject was developed in the 1950s, and focussed on the theory of systems of continuous and discrete-time deterministic; however, continuous-time and its approximation schemes of stochastic differential equations faced the problems outlined above and made slow progress in developing problems as a result. This monograph addresses these problems by presenting an account of stochastic versus deterministic issues in discrete state dynamic systems in a systematic and unified way.
Book Synopsis Foundations of Deterministic and Stochastic Control by : Jon H. Davis
Download or read book Foundations of Deterministic and Stochastic Control written by Jon H. Davis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This volume is a textbook on linear control systems with an emphasis on stochastic optimal control with solution methods using spectral factorization in line with the original approach of N. Wiener. Continuous-time and discrete-time versions are presented in parallel.... Two appendices introduce functional analytic concepts and probability theory, and there are 77 references and an index. The chapters (except for the last two) end with problems.... [T]he book presents in a clear way important concepts of control theory and can be used for teaching." —Zentralblatt Math "This is a textbook intended for use in courses on linear control and filtering and estimation on (advanced) levels. Its major purpose is an introduction to both deterministic and stochastic control and estimation. Topics are treated in both continuous time and discrete time versions.... Each chapter involves problems and exercises, and the book is supplemented by appendices, where fundamentals on Hilbert and Banach spaces, operator theory, and measure theoretic probability may be found. The book will be very useful for students, but also for a variety of specialists interested in deterministic and stochastic control and filtering." —Applications of Mathematics "The strength of the book under review lies in the choice of specialized topics it contains, which may not be found in this form elsewhere. Also, the first half would make a good standard course in linear control." —Journal of the Indian Institute of Science
Book Synopsis An Introduction to Differential Equations by : Anil G Ladde
Download or read book An Introduction to Differential Equations written by Anil G Ladde and published by World Scientific Publishing Company. This book was released on 2012-05-31 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 2: Stochastic Modeling, Methods, and Analysis This is a twenty-first century book designed to meet the challenges of understanding and solving interdisciplinary problems. The book creatively incorporates “cutting-edge” research ideas and techniques at the undergraduate level. The book also is a unique research resource for undergraduate/graduate students and interdisciplinary researchers. It emphasizes and exhibits the importance of conceptual understandings and its symbiotic relationship in the problem solving process. The book is proactive in preparing for the modeling of dynamic processes in various disciplines. It introduces a “break-down-the problem” type of approach in a way that creates “fun” and “excitement”. The book presents many learning tools like “step-by-step procedures (critical thinking)”, the concept of “math” being a language, applied examples from diverse fields, frequent recaps, flowcharts and exercises. Uniquely, this book introduces an innovative and unified method of solving nonlinear scalar differential equations. This is called the “Energy/Lyapunov Function Method”. This is accomplished by adequately covering the standard methods with creativity beyond the entry level differential equations course.
Download or read book Surgical Research written by Hans Troidl and published by Springer Science & Business Media. This book was released on 1998 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surgical Research: Basic Principles and Clinical Practice, Third Edition is an excellent source book for the young surgical investigator as well as the senior investigator in surgery. It is divided into nine sections: The Surgeon as Investigator, Reading and Writing, Speaking and Listening, Design and Methods, Funding, Implementation, Analyzing Outcomes, Ethical Issues and Perspectives. The Third Edition has been updated and added to with 43 new chapters. This book is of special interest to those surgeons interested in doing research. However, it also has many very interesting chapters that would help all surgeons in approaching their practice in a more scientific way. With many of the foremost surgical investigators contributing, this book is an excellent collection of chapters covering the entire gamut of surgical research.
Book Synopsis Infectious Disease Ecology and Conservation by : Johannes Foufopoulos
Download or read book Infectious Disease Ecology and Conservation written by Johannes Foufopoulos and published by Oxford University Press. This book was released on 2022-02-10 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emerging infectious diseases pose an increasingly serious threat to a number of endangered or sensitive species and are increasingly recognized as one of the major factors driving species extinction. Despite the significant impact of pathogens on conservation, no single book has yet integrated the theoretical principles underlying disease transmission with the practical health considerations for helping wildlife professionals and conservation biologists to manage disease outbreaks and conserve biodiversity. This novel and accessible book starts with a foundational section focusing on the role of pathogens in natural ecosystems, the dynamics of transmission in different environments, and the factors driving wildlife disease outbreaks. It then moves on to more applied issues concerned with the acquisition of field data including sampling, experimental design and analysis, as well as diagnostic analyses in both the laboratory and field. Guidelines for effective modelling and data analysis follow, before a final section is devoted to disease prevention and control including the prevention of novel outbreaks, the use of diseases as biocontrol agents, and the associated issues of ethics, public communication, and outreach. Infectious Disease Ecology and Conservation is primarily aimed at advanced undergraduates, graduate students, and established researchers in the fields of conservation biology, disease ecology, population ecology, and veterinary science. It will also be a valuable reference for conservation practitioners, land managers, and wildlife professionals who are required to deal with disease outbreak problems.
Book Synopsis Encyclopedia of Mathematical Geosciences by : B. S. Daya Sagar
Download or read book Encyclopedia of Mathematical Geosciences written by B. S. Daya Sagar and published by Springer Nature. This book was released on 2023-07-13 with total page 1744 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Mathematical Geosciences is a complete and authoritative reference work. It provides concise explanation on each term that is related to Mathematical Geosciences. Over 300 international scientists, each expert in their specialties, have written around 350 separate articles on different topics of mathematical geosciences including contributions on Artificial Intelligence, Big Data, Compositional Data Analysis, Geomathematics, Geostatistics, Geographical Information Science, Mathematical Morphology, Mathematical Petrology, Multifractals, Multiple Point Statistics, Spatial Data Science, Spatial Statistics, and Stochastic Process Modeling. Each topic incorporates cross-referencing to related articles, and also has its own reference list to lead the reader to essential articles within the published literature. The entries are arranged alphabetically, for easy access, and the subject and author indices are comprehensive and extensive.
Book Synopsis Computational Systems Bioinformatics by : Peter Markstein
Download or read book Computational Systems Bioinformatics written by Peter Markstein and published by Imperial College Press. This book was released on 2008 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains 29 papers covering many of the latest developments in the fast-growing field of bioinformatics. The contributions span a wide range of topics, including computational genomics and genetics, protein function and computational proteomics, the transcriptome, structural bioinformatics, microarray data analysis, motif identification, biological pathways and systems, and biomedical applications.The papers not only cover theoretical aspects of bioinformatics but also delve into the application of new methods, with input from computation, engineering and biology disciplines. This multidisciplinary approach to bioinformatics gives these proceedings a unique viewpoint of the field.
Book Synopsis Finite Difference Methods. Theory and Applications by : Ivan Dimov
Download or read book Finite Difference Methods. Theory and Applications written by Ivan Dimov and published by Springer. This book was released on 2019-01-28 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed conference proceedings of the 7th International Conference on Finite Difference Methods, FDM 2018, held in Lozenetz, Bulgaria, in June 2018.The 69 revised full papers presented together with 11 invited papers were carefully reviewed and selected from 94 submissions. They deal with many modern and new numerical techniques like splitting techniques, Green’s function method, multigrid methods, and immersed interface method.
Book Synopsis Computational Systems Bioinformatics by : Peter Markstein
Download or read book Computational Systems Bioinformatics written by Peter Markstein and published by World Scientific. This book was released on 2008-08-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains 29 papers covering many of the latest developments in the fast-growing field of bioinformatics. The contributions span a wide range of topics, including computational genomics and genetics, protein function and computational proteomics, the transcriptome, structural bioinformatics, microarray data analysis, motif identification, biological pathways and systems, and biomedical applications. The papers not only cover theoretical aspects of bioinformatics but also delve into the application of new methods, with input from computation, engineering and biology disciplines. This multidisciplinary approach to bioinformatics gives these proceedings a unique viewpoint of the field. Contents: Voting Algorithms for the Motif Finding Problem (X-W Liu et al.)MSDash: Mass Spectrometry Database and Search (Z Wu et al.)GaborLocal: Peak Detection in Mass Spectrum by Gabor Filters and Gaussian Local Maxima (N Nguyen et al.)Designing Secondary Structure Profiles for Fast ncRNA Identification (Y Sun & J Buhler)Iterative Non-sequential Protein Structural Alignment (S Salem & M J Zaki)Consistent Alignment of Metabolic Pathways Without Abstraction (F Ay et al.)On the Accurate Construction of Consensus Genetic Maps (Y-H Wu et al.)Graph Wavelet Alignment Kernels for Drug Virtual Screening (A Smalter et al.)and other papers Readership: Graduate students, postdoctoral fellows, researchers, and practitioners in the field of bioinformatics and systems biology; biotech and pharmaceutical companies; computational scientists and engineers interested in biology. Keywords:Bioinformatics;Computational Systems Biology;Computational Techniques;Systems Biology ProblemsKey Features:The CSB meetings accept only the highest-quality research papers, with a paper-acceptance rate of below 20%The CSB meetings represent a unique bioinformatics conference in which papers blend bioinformatic tool development with in silico biologyCSB meetings have become one of the most well-attended bioinformatics conferencesCSB proceedings are indexed by Medline
Book Synopsis Smart Delivery Systems by : Jakub Nalepa
Download or read book Smart Delivery Systems written by Jakub Nalepa and published by Elsevier. This book was released on 2019-11-15 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Smart Delivery Systems: Solving Complex Vehicle Routing Problems examines both exact and approximate methods for delivering optimal solutions to rich vehicle routing problems, showing both the advantages and disadvantages of each approach. It shows how to apply machine learning and advanced data analysis techniques to improve routing systems, familiarizing readers with the concepts and technologies used in successfully implemented delivery systems. The book explains both the latest theoretical and practical advances in intelligent delivery and scheduling systems and presents practical applications for designing new algorithms for real-life scenarios. Emphasizes both sequential and parallel algorithms Uniquely combines methods and algorithms, real-life applications, and parallel computing Includes recommendations on how to choose between different methods for solving applications Provides learning aids, end of chapter references, bibliography, worked examples and exercises
Book Synopsis Mathematical Modelling and Computer Simulation of Activated Sludge Systems by : Jacek Makinia
Download or read book Mathematical Modelling and Computer Simulation of Activated Sludge Systems written by Jacek Makinia and published by IWA Publishing. This book was released on 2020-03-02 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modelling and Computer Simulation of Activated Sludge Systems – Second Edition provides, from the process engineering perspective, a comprehensive and up-to-date overview regarding various aspects of the mechanistic (“white box”) modelling and simulation of advanced activated sludge systems performing biological nutrient removal. In the new edition of the book, a special focus is given to nitrogen removal and the latest developments in modelling the innovative nitrogen removal processes. Furthermore, a new section on micropollutant removal has been added. The focus of modelling has been shifting in the last years to models that can describe the performance of a whole plant (plant-wide modelling). The expanded part of this new edition introduces models describing the most important processes interrelated with the mainstream activated sludge systems as well as models describing the energy balance, operating costs and environmental impact. The complex process evaluation, including minimization of energy consumption and carbon footprint, is in line with the present and future wastewater treatment goals. By combining a general introduction and a textbook, this book serves both intermediate and more experienced model users, both researchers and practitioners, as a comprehensive guide to modelling and simulation studies. The book can be used as a supplemental material at graduate and post-graduate levels of wastewater engineering/modelling courses.
Book Synopsis Handbook of Dynamics and Probability by : Peter Müller
Download or read book Handbook of Dynamics and Probability written by Peter Müller and published by Springer Nature. This book was released on 2021-11-20 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our time is characterized by an explosive growth in the use of ever more complicated and sophisticated (computer) models. These models rely on dynamical systems theory for the interpretation of their results and on probability theory for the quantification of their uncertainties. A conscientious and intelligent use of these models requires that both these theories are properly understood. This book is to provide such understanding. It gives a unifying treatment of dynamical systems theory and probability theory. It covers the basic concepts and statements of these theories, their interrelations, and their applications to scientific reasoning and physics. The book stresses the underlying concepts and mathematical structures but is written in a simple and illuminating manner without sacrificing too much mathematical rigor. The book is aimed at students, post-docs, and researchers in the applied sciences who aspire to better understand the conceptual and mathematical underpinnings of the models that they use. Despite the peculiarities of any applied science, dynamics and probability are the common and indispensable tools in any modeling effort. The book is self-contained, with many technical aspects covered in appendices, but does require some basic knowledge in analysis, linear algebra, and physics. Peter Müller, now a professor emeritus at the University of Hawaii, has worked extensively on ocean and climate models and the foundations of complex system theories.
Book Synopsis Deterministic and Stochastic Time-Delay Systems by : El-Kebir Boukas
Download or read book Deterministic and Stochastic Time-Delay Systems written by El-Kebir Boukas and published by Springer Science & Business Media. This book was released on 2002-03-01 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most practical processes such as chemical reactor, industrial furnace, heat exchanger, etc., are nonlinear stochastic systems, which makes their con trol in general a hard problem. Currently, there is no successful design method for this class of systems in the literature. One common alterna tive consists of linearizing the nonlinear dynamical stochastic system in the neighborhood of an operating point and then using the techniques for linear systems to design the controller. The resulting model is in general an approximation of the real behavior of a dynamical system. The inclusion of the uncertainties in the model is therefore necessary and will certainly improve the performance of the dynamical system we want to control. The control of uncertain systems has attracted a lot of researchers from the control community. This topic has in fact dominated the research effort of the control community during the last two decades, and many contributions have been reported in the literature. Some practical dynamical systems have time delay in their dynamics, which makes their control a complicated task even in the deterministic case. Recently, the class ofuncertain dynamical deterministic systems with time delay has attracted some researchers, and some interesting results have been reported in both deterministic and stochastic cases. But wecan't claim that the control problem ofthis class ofsystems is completely solved; more work must be done for this class of systems.
Book Synopsis Advanced Design of Mechanical Systems: From Analysis to Optimization by : Jorge A.C. Ambrosio
Download or read book Advanced Design of Mechanical Systems: From Analysis to Optimization written by Jorge A.C. Ambrosio and published by Springer Science & Business Media. This book was released on 2009-11-25 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multibody systems are used extensively in the investigation of mechanical systems including structural and non-structural applications. It can be argued that among all the areas in solid mechanics the methodologies and applications associated to multibody dynamics are those that provide an ideal framework to aggregate d- ferent disciplines. This idea is clearly reflected, e. g. , in the multidisciplinary applications in biomechanics that use multibody dynamics to describe the motion of the biological entities, in finite elements where multibody dynamics provides - werful tools to describe large motion and kinematic restrictions between system components, in system control where the methodologies used in multibody dynamics are the prime form of describing the systems under analysis, or even in many - plications that involve fluid-structure interaction or aero elasticity. The development of industrial products or the development of analysis tools, using multibody dynamics methodologies, requires that the final result of the devel- ments are the best possible within some limitations, i. e. , they must be optimal. Furthermore, the performance of the developed systems must either be relatively insensitive to some of their design parameters or be sensitive in a controlled manner to other variables. Therefore, the sensitivity analysis of such systems is fundamental to support the decision making process. This book presents a broad range of tools for designing mechanical systems ranging from the kinematic and dynamic analysis of rigid and flexible multibody systems to their advanced optimization.
Book Synopsis Probability for Machine Learning by : Jason Brownlee
Download or read book Probability for Machine Learning written by Jason Brownlee and published by Machine Learning Mastery. This book was released on 2019-09-24 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability is the bedrock of machine learning. You cannot develop a deep understanding and application of machine learning without it. Cut through the equations, Greek letters, and confusion, and discover the topics in probability that you need to know. Using clear explanations, standard Python libraries, and step-by-step tutorial lessons, you will discover the importance of probability to machine learning, Bayesian probability, entropy, density estimation, maximum likelihood, and much more.
Book Synopsis Proceedings of the 1991 Symposium on Systems Analysis in Forest Resources by :
Download or read book Proceedings of the 1991 Symposium on Systems Analysis in Forest Resources written by and published by . This book was released on 1991 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
