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Introduction To Differential Equations An Stochastic Modeling Methods And Analysis Volume 2


Introduction To Differential Equations An Stochastic Modeling Methods And Analysis Volume 2
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Introduction To Differential Equations An Stochastic Modeling Methods And Analysis Volume 2


Introduction To Differential Equations An Stochastic Modeling Methods And Analysis Volume 2
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Author : Anilchandra G Ladde
language : en
Publisher: World Scientific Publishing Company
Release Date : 2013-01-11

Introduction To Differential Equations An Stochastic Modeling Methods And Analysis Volume 2 written by Anilchandra G Ladde and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-11 with Mathematics categories.


Volume 1: Deterministic Modeling, Methods and Analysis For more than half a century, stochastic calculus and stochastic differential equations have played a major role in analyzing the dynamic phenomena in the biological and physical sciences, as well as engineering. The advancement of knowledge in stochastic differential equations is spreading rapidly across the graduate and postgraduate programs in universities around the globe. This will be the first available book that can be used in any undergraduate/graduate stochastic modeling/applied mathematics courses and that can be used by an interdisciplinary researcher with a minimal academic background. An Introduction to Differential Equations: Volume 2 is a stochastic version of Volume 1 (“An Introduction to Differential Equations: Deterministic Modeling, Methods and Analysis”). Both books have a similar design, but naturally, differ by calculi. Again, both volumes use an innovative style in the presentation of the topics, methods and concepts with adequate preparation in deterministic Calculus. Errata Errata (32 KB)



An Introduction To Differential Equations


An Introduction To Differential Equations
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Author : Anil G. Ladde
language : en
Publisher: World Scientific Publishing Company
Release Date : 2013

An Introduction To Differential Equations written by Anil G. Ladde and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Differential equations categories.


For more than half a century, stochastic calculus and stochastic differential equations have played a major role in analyzing the dynamic phenomena in the biological and physical sciences, as well as engineering. the advancement of knowledge in stochastic differential equations is spreading rapidly across the graduate and postgraduate programs in universities around the globe. This will be the first available book that can be used in any undergraduate/graduate stochastic modeling/applied mathematics courses and that can be used by an interdisciplinary researcher with a minimal academic background.An Introduction to Differential Equations: Volume 2 is a stochastic version of Volume 1 ("An Introduction to Differential Equations: Deterministic Modeling, Methods and Analysis"). Both books have a similar design, but naturally, differ by calculi. Again, both volumes use an innovative style in the presentation of the topics, methods and concepts with adequate preparation in deterministic Calculus.



Epidemiological Processes In The Biological And Social Sciences


Epidemiological Processes In The Biological And Social Sciences
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Author : Divine Tito F. Wanduku
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2025-05-19

Epidemiological Processes In The Biological And Social Sciences written by Divine Tito F. Wanduku and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-19 with Mathematics categories.


The recent advent of rapid technological changes, scientific developments, and educational expansions have created complex heterogeneities, environmental uncertainties, and socio-economic-ecological inequalities globally. The innovative beneficial resources upgrade and update the existing varieties of structural features such as hereditary, random environmental, spatial and atmospheric perturbations in human population dynamics processes and predator-prey systems. The highly interconnected system under operating random environmental conditions is represented by nonlinear nonstationary large-scale multi-level hierarchical network-centric dynamic processes of Ito-Doob and finite Markovian types with network-centric structural perturbations. For instance, complex spatial, behavioral, and epidemiological structures in human populations vary from citizen to visitor; practicing and adhering to different disease preventive measures at sites in meta-populations; and different ages, stages and resistance levels to infections, respectively. An advantage of the presented results in simple algebraic system parameters form is easy verification and application to planning, prevention, policies, stabilization, monitoring and diseases management.



Stochastic Models Information Theory And Lie Groups Volume 2


Stochastic Models Information Theory And Lie Groups Volume 2
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Author : Gregory S. Chirikjian
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-15

Stochastic Models Information Theory And Lie Groups Volume 2 written by Gregory S. Chirikjian 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 2011-11-15 with Mathematics categories.


This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises, motivating examples, and real-world applications make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.



Stochastic Versus Deterministic Systems Of Iterative Processes


Stochastic Versus Deterministic Systems Of Iterative Processes
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Author : Gangaram S Ladde
language : en
Publisher: World Scientific
Release Date : 2024-04-22

Stochastic Versus Deterministic Systems Of Iterative Processes written by Gangaram S Ladde and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-22 with Mathematics categories.


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.



Applied Stochastic Differential Equations


Applied Stochastic Differential Equations
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Author : Simo Särkkä
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-02

Applied Stochastic Differential Equations written by Simo Särkkä and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-02 with Business & Economics categories.


With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.



The Non Uniform Riemann Approach To Stochastic Integration


The Non Uniform Riemann Approach To Stochastic Integration
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Author : Varayu Boonpogkrong
language : en
Publisher: World Scientific
Release Date : 2024-09-17

The Non Uniform Riemann Approach To Stochastic Integration written by Varayu Boonpogkrong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-17 with Mathematics categories.


This is the first book that presents the theory of stochastic integral using the generalized Riemann approach. Readers who are familiar with undergraduate calculus and want to have an easy access to the theory of stochastic integral will find most of this book pleasantly readable, especially the first four chapters. The references to the theory of classical stochastic integral and stochastic processes are also included for the convenience of readers who are familiar with the measure theoretic approach.



Applied Mathematical Analysis Theory Methods And Applications


Applied Mathematical Analysis Theory Methods And Applications
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Author : Hemen Dutta
language : en
Publisher: Springer
Release Date : 2019-02-21

Applied Mathematical Analysis Theory Methods And Applications written by Hemen Dutta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-21 with Computers categories.


This book addresses key aspects of recent developments in applied mathematical analysis and its use. It also highlights a broad range of applications from science, engineering, technology and social perspectives. Each chapter investigates selected research problems and presents a balanced mix of theory, methods and applications for the chosen topics. Special emphasis is placed on presenting basic developments in applied mathematical analysis, and on highlighting the latest advances in this research area. The book is presented in a self-contained manner as far as possible, and includes sufficient references to allow the interested reader to pursue further research in this still-developing field. The primary audience for this book includes graduate students, researchers and educators; however, it will also be useful for general readers with an interest in recent developments in applied mathematical analysis and applications.



An Introduction To Stochastic Modeling


An Introduction To Stochastic Modeling
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Author : Howard M. Taylor
language : en
Publisher: Academic Press
Release Date : 2014-05-10

An Introduction To Stochastic Modeling written by Howard M. Taylor and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.


An Introduction to Stochastic Modeling, Revised Edition provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.



Mathematical Methods In Engineering And Applied Sciences


Mathematical Methods In Engineering And Applied Sciences
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Author : Hemen Dutta
language : en
Publisher: CRC Press
Release Date : 2020-01-03

Mathematical Methods In 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 2020-01-03 with Technology & Engineering categories.


This book covers tools and techniques used for developing mathematical methods and modelling related to real-life situations. It brings forward significant aspects of mathematical research by using different mathematical methods such as analytical, computational, and numerical with relevance or applications in engineering and applied sciences. Presents theory, methods, and applications in a balanced manner Includes the basic developments with full details Contains the most recent advances and offers enough references for further study Written in a self-contained style and provides proof of necessary results Offers research problems to help early career researchers prepare research proposals Mathematical Methods in Engineering and Applied Sciences makes available for the audience, several relevant topics in one place necessary for crucial understanding of research problems of an applied nature. This should attract the attention of general readers, mathematicians, and engineers interested in new tools and techniques required for developing more accurate mathematical methods and modelling corresponding to real-life situations.