Download or read book Random Integral Equations with Applications to Life Sciences and Engineering written by and published by Academic Press. This book was released on 1974-08-20 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Download or read book Stochastic versus Deterministic Systems of Differential Equations written by G. S. Ladde and published by CRC Press. This book was released on 2003-12-05 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This peerless reference/text unfurls a unified and systematic study of the two types of mathematical models of dynamic processes-stochastic and deterministic-as placed in the context of systems of stochastic differential equations. Using the tools of variational comparison, generalized variation of constants, and probability distribution as its methodological backbone, Stochastic Versus Deterministic Systems of Differential Equations addresses questions relating to the need for a stochastic mathematical model and the between-model contrast that arises in the absence of random disturbances/fluctuations and parameter uncertainties both deterministic and stochastic.

Download or read book Proceedings of the Seventh Conference on Probability Theory written by Marius Iosifescu and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Proceedings of the Seventh Conference on Probability Theory".

Download or read book Stochastic Integral And Differential Equations In Mathematical Modelling written by Santanu Saha Ray and published by World Scientific. This book was released on 2023-04-25 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modelling of systems by differential equations usually requires that the parameters involved be completely known. Such models often originate from problems in physics or economics where we have insufficient information on parameter values. One important class of stochastic mathematical models is stochastic partial differential equations (SPDEs), which can be seen as deterministic partial differential equations (PDEs) with finite or infinite dimensional stochastic processes — either with colour noise or white noise. Though white noise is a purely mathematical construction, it can be a good model for rapid random fluctuations.Stochastic Integral and Differential Equations in Mathematical Modelling concerns the analysis of discrete-time approximations for stochastic differential equations (SDEs) driven by Wiener processes. It also provides a theoretical basis for working with SDEs and stochastic processes.This book is written in a simple and clear mathematical logical language, with basic definitions and theorems on stochastic calculus provided from the outset. Each chapter contains illustrated examples via figures and tables. The reader can also construct new wavelets by using the procedure presented in the book. Stochastic Integral and Differential Equations in Mathematical Modelling fulfils the existing gap in the literature for a comprehensive account of this subject area.

Download or read book Finite Element Methods for Structures with Large Stochastic Variations written by Isaac Elishakoff and published by Oxford University Press, USA. This book was released on 2003 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method (FEM) can be successfully applied to various field problems in solid mechanics, fluid mechanics and electrical engineering. This text discusses finite element methods for structures with large stochastic variations.

Download or read book Mathematical Statistics with Applications in R written by Kandethody M. Ramachandran and published by Elsevier. This book was released on 2014-09-14 with total page 825 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Statistics with Applications in R, Second Edition, offers a modern calculus-based theoretical introduction to mathematical statistics and applications. The book covers many modern statistical computational and simulation concepts that are not covered in other texts, such as the Jackknife, bootstrap methods, the EM algorithms, and Markov chain Monte Carlo (MCMC) methods such as the Metropolis algorithm, Metropolis-Hastings algorithm and the Gibbs sampler. By combining the discussion on the theory of statistics with a wealth of real-world applications, the book helps students to approach statistical problem solving in a logical manner.This book provides a step-by-step procedure to solve real problems, making the topic more accessible. It includes goodness of fit methods to identify the probability distribution that characterizes the probabilistic behavior or a given set of data. Exercises as well as practical, real-world chapter projects are included, and each chapter has an optional section on using Minitab, SPSS and SAS commands. The text also boasts a wide array of coverage of ANOVA, nonparametric, MCMC, Bayesian and empirical methods; solutions to selected problems; data sets; and an image bank for students.Advanced undergraduate and graduate students taking a one or two semester mathematical statistics course will find this book extremely useful in their studies. - Step-by-step procedure to solve real problems, making the topic more accessible - Exercises blend theory and modern applications - Practical, real-world chapter projects - Provides an optional section in each chapter on using Minitab, SPSS and SAS commands - Wide array of coverage of ANOVA, Nonparametric, MCMC, Bayesian and empirical methods

Download or read book Nonlinear Stochastic Systems in Physics and Mechanics written by N. Bellomo and published by World Scientific. This book was released on 1987 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the conceptional line which goes from the observation of physical systems to their modeling and analysis by ordinary differential nonlinear stochastic equations.First, the problems of the mathematical modeling of physical systems are developed. These mathematical models are then classified in terms of ordinary differential stochastic equations from which both qualitative and quantitative results are developed.Each one of the various subjects are methods dealt with ends with an application in mathematical physics or in nonlinear mechanics.

Download or read book Stochastic Systems written by Adomian and published by Academic Press. This book was released on 1983-07-29 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Systems

Download or read book Probabilistic Analysis and Related Topics written by A. T. Bharucha-Reid and published by Elsevier. This book was released on 2014-05-10 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probabilistic Analysis and Related Topics, Volume 3 focuses on the continuity, integrability, and differentiability of random functions, including operator theory, measure theory, and functional and numerical analysis. The selection first offers information on the qualitative theory of stochastic systems and Langevin equations with multiplicative noise. Discussions focus on phase-space evolution via direct integration, phase-space evolution, linear and nonlinear systems, linearization, and generalizations. The text then ponders on the stability theory of stochastic difference systems and Markov properties for random fields. Topics include Markov property of solutions of stochastic partial differential equations; Markov property for generalized Gaussian random fields; Markov properties for generalized random fields; stochastic stability of nonlinear systems; and linear stochastic systems. The publication examines the method of random contractors and its applications to random nonlinear equations, including integral contractors and applications to random equations; random contractors with random nonlinear majorant functions; and random contractors and application to random nonlinear operator equations. The selection is a valuable reference for mathematicians and researchers interested in the general theory of random functions.

Download or read book nonlinear analysis and applications written by Lakshmikantham and published by CRC Press. This book was released on 2020-11-26 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book attempts to put together the works of a wide range of mathematical scientists. It consists of the proceedings of the Seventh Conference on "Nonlinear Analysis and Applications" including papers that were delivered as invited talks and research reports.

Download or read book The Joy of Finite Mathematics written by Chris P. Tsokos and published by Academic Press. This book was released on 2015-10-27 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Joy of Finite Mathematics: The Language and Art of Math teaches students basic finite mathematics through a foundational understanding of the underlying symbolic language and its many dialects, including logic, set theory, combinatorics (counting), probability, statistics, geometry, algebra, and finance. Through detailed explanations of the concepts, step-by-step procedures, and clearly defined formulae, readers learn to apply math to subjects ranging from reason (logic) to finance (personal budget), making this interactive and engaging book appropriate for non-science, undergraduate students in the liberal arts, social sciences, finance, economics, and other humanities areas. The authors utilize important historical facts, pose interesting and relevant questions, and reference real-world events to challenge, inspire, and motivate students to learn the subject of mathematical thinking and its relevance. The book is based on the authors' experience teaching Liberal Arts Math and other courses to students of various backgrounds and majors, and is also appropriate for preparing students for Florida's CLAST exam or similar core requirements. - Highlighted definitions, rules, methods, and procedures, and abundant tables, diagrams, and graphs, clearly illustrate important concepts and methods - Provides end-of-chapter vocabulary and concept reviews, as well as robust review exercises and a practice test - Contains information relevant to a wide range of topics, including symbolic language, contemporary math, liberal arts math, social sciences math, basic math for finance, math for humanities, probability, and the C.L.A.S.T. exam - Optional advanced sections and challenging problems are included for use at the discretion of the instructor - Online resources include PowerPoint Presentations for instructors and a useful student manual

Download or read book Inequalities for Finite Difference Equations written by B.G. Pachpatte and published by CRC Press. This book was released on 2001-12-13 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A treatise on finite difference ineuqalities that have important applications to theories of various classes of finite difference and sum-difference equations, including several linear and nonlinear finite difference inequalities appearing for the first time in book form."

Download or read book Reliability Maintainability and Supportability written by Michael Tortorella and published by John Wiley & Sons. This book was released on 2015-02-25 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on the core systems engineering tasks of writing,managing, and tracking requirements for reliability,maintainability, and supportability that are most likely to satisfycustomers and lead to success for suppliers This book helps systems engineers lead the development ofsystems and services whose reliability, maintainability, andsupportability meet and exceed the expectations of their customersand promote success and profit for their suppliers. This book isorganized into three major parts: reliability, maintainability, andsupportability engineering. Within each part, there is material onrequirements development, quantitative modelling, statisticalanalysis, and best practices in each of these areas. Heavy emphasisis placed on correct use of language. The author discusses the useof various sustainability engineering methods and techniques incrafting requirements that are focused on the customers’needs, unambiguous, easily understood by the requirements’stakeholders, and verifiable. Part of each major division of thebook is devoted to statistical analyses needed to determine whenrequirements are being met by systems operating in customerenvironments. To further support systems engineers in writing,analyzing, and interpreting sustainability requirements, this bookalso Contains “Language Tips” to help systems engineerslearn the different languages spoken by specialists andnon-specialists in the sustainability disciplines Provides exercises in each chapter, allowing the reader to tryout some of the ideas and procedures presented in the chapter Delivers end-of-chapter summaries of the current reliability,maintainability, and supportability engineering best practices forsystems engineers Reliability, Maintainability, and Supportability is a referencefor systems engineers and graduate students hoping to learn how toeffectively determine and develop appropriate requirements so thatdesigners may fulfil the intent of the customer.

Download or read book Monte Carlo Frameworks written by Daniel J. Duffy and published by John Wiley & Sons. This book was released on 2011-08-02 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is one of the first books that describe all the steps that are needed in order to analyze, design and implement Monte Carlo applications. It discusses the financial theory as well as the mathematical and numerical background that is needed to write flexible and efficient C++ code using state-of-the art design and system patterns, object-oriented and generic programming models in combination with standard libraries and tools. Includes a CD containing the source code for all examples. It is strongly advised that you experiment with the code by compiling it and extending it to suit your needs. Support is offered via a user forum on www.datasimfinancial.com where you can post queries and communicate with other purchasers of the book. This book is for those professionals who design and develop models in computational finance. This book assumes that you have a working knowledge of C ++.

Download or read book Method of Variation of Parameters for Dynamic Systems written by V. Lakshmikantham and published by Routledge. This book was released on 2019-09-10 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Method of Variation of Parameters for Dynamic Systems presents a systematic and unified theory of the development of the theory of the method of variation of parameters, its unification with Lyapunov's method and typical applications of these methods. No other attempt has been made to bring all the available literature into one volume. This book is a clear exposition of this important topic in control theory, which is not covered by any other text. Such an exposition finally enables the comparison and contrast of the theory and the applications, thus facilitating further development in this fascinating field.

Download or read book Catalog of Copyright Entries Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1976 with total page 1520 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Random Perturbation Methods with Applications in Science and Engineering written by Anatoli V. Skorokhod and published by Springer Science & Business Media. This book was released on 2007-06-21 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops methods for describing random dynamical systems, and it illustrats how the methods can be used in a variety of applications. Appeals to researchers and graduate students who require tools to investigate stochastic systems.