Random Integral Equations With Applications To Life Sciences And Engineering

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Random Integral Equations with Applications to Life Sciences and Engineering

Author :
Publisher : Academic Press
ISBN 13 : 0080956173
Total Pages : 289 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Random Integral Equations with Applications to Life Sciences and Engineering by :

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

Random Integral Equations with Applications to Life Sciences and Engineering [by] Chris P. Tsokos [and] W.J. Padgett

Author : Chris P. Tsokos
Publisher :
ISBN 13 :
Total Pages : 278 pages
Book Rating : 4.:/5 (976 download)

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Book Synopsis Random Integral Equations with Applications to Life Sciences and Engineering [by] Chris P. Tsokos [and] W.J. Padgett by : Chris P. Tsokos

Download or read book Random Integral Equations with Applications to Life Sciences and Engineering [by] Chris P. Tsokos [and] W.J. Padgett written by Chris P. Tsokos and published by . This book was released on 1974 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Random Integral Equations

Author : Bharucha-Reid
Publisher : Academic Press
ISBN 13 : 008095605X
Total Pages : 283 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Random Integral Equations by : Bharucha-Reid

Download or read book Random Integral Equations written by Bharucha-Reid and published by Academic Press. This book was released on 1973-03-02 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random Integral Equations

Random Integral Equations with Applications to Stochastic Systems

Author : C. P. Tsokos
Publisher : Springer
ISBN 13 : 3540369929
Total Pages : 181 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Random Integral Equations with Applications to Stochastic Systems by : C. P. Tsokos

Download or read book Random Integral Equations with Applications to Stochastic Systems written by C. P. Tsokos and published by Springer. This book was released on 2006-11-15 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors have two main objectives in these notes. First, they wish to give a complete presentation of the theory of existence and uniqueness of random solutions of the most general random Volterra and Fredholm equations which have been studied heretofore. Second, to emphasize the application of their theory to stochastic systems which have not been extensively studied before due to mathematical difficulties that arise. These notes will be of value to mathematicians, probabilists, and engineers who are working in the area of systems theory or to those who are interested in the theory of random equations.

Proceedings of the Seventh Conference on Probability Theory

Author : Marius Iosifescu
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112314034
Total Pages : 676 pages
Book Rating : 4.1/5 (123 download)

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Book Synopsis Proceedings of the Seventh Conference on Probability Theory by : Marius Iosifescu

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".

Stochastic Integral And Differential Equations In Mathematical Modelling

Author : Santanu Saha Ray
Publisher : World Scientific
ISBN 13 : 1800613598
Total Pages : 319 pages
Book Rating : 4.8/5 (6 download)

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Book Synopsis Stochastic Integral And Differential Equations In Mathematical Modelling by : Santanu Saha Ray

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.

Random Integral Equations

Author : Albert T. Bharucha-Reid
Publisher :
ISBN 13 : 9781282290099
Total Pages : 0 pages
Book Rating : 4.2/5 (9 download)

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Book Synopsis Random Integral Equations by : Albert T. Bharucha-Reid

Download or read book Random Integral Equations written by Albert T. Bharucha-Reid and published by . This book was released on 1972 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Element Methods for Structures with Large Stochastic Variations

Author : Isaac Elishakoff
Publisher : Oxford University Press, USA
ISBN 13 : 9780198526315
Total Pages : 282 pages
Book Rating : 4.5/5 (263 download)

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Book Synopsis Finite Element Methods for Structures with Large Stochastic Variations by : Isaac Elishakoff

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.

Integral Methods in Science and Engineering, Volume 2

Author : Christian Constanda
Publisher : Birkhäuser
ISBN 13 : 3319593870
Total Pages : 318 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Integral Methods in Science and Engineering, Volume 2 by : Christian Constanda

Download or read book Integral Methods in Science and Engineering, Volume 2 written by Christian Constanda and published by Birkhäuser. This book was released on 2017-09-08 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume contains a collection of articles on the most recent advances in integral methods. The second of two volumes, this work focuses on the applications of integral methods to specific problems in science and engineering. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Fourteenth International Conference on Integral Methods in Science and Engineering, held July 25-29, 2016, in Padova, Italy. A broad range of topics is addressed, such as:• Boundary elements• Transport problems• Option pricing• Gas reservoirs• Electromagnetic scattering This collection will be of interest to researchers in applied mathematics, physics, and mechanical and petroleum engineering, as well as graduate students in these disciplines, and to other professionals who use integration as an essential tool in their work.

Topological Methods for Differential Equations and Inclusions

Author : John R. Graef
Publisher : CRC Press
ISBN 13 : 0429822618
Total Pages : 430 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Topological Methods for Differential Equations and Inclusions by : John R. Graef

Download or read book Topological Methods for Differential Equations and Inclusions written by John R. Graef and published by CRC Press. This book was released on 2018-09-25 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations. The equivalence between a control system and the corresponding differential inclusion is the central idea used to prove existence theorems in optimal control theory. Since the dynamics of economic, social, and biological systems are multi-valued, differential inclusions serve as natural models in macro systems with hysteresis.

Stochastic Differential Equations With Markovian Switching

Author : Mao Xuerong
Publisher : World Scientific
ISBN 13 : 1911299271
Total Pages : 428 pages
Book Rating : 4.9/5 (112 download)

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Book Synopsis Stochastic Differential Equations With Markovian Switching by : Mao Xuerong

Download or read book Stochastic Differential Equations With Markovian Switching written by Mao Xuerong and published by World Scientific. This book was released on 2006-08-10 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides the first systematic presentation of the theory of stochastic differential equations with Markovian switching. It presents the basic principles at an introductory level but emphasizes current advanced level research trends. The material takes into account all the features of Ito equations, Markovian switching, interval systems and time-lag. The theory developed is applicable in different and complicated situations in many branches of science and industry./a

Mathematical Statistics with Applications in R

Author : Kandethody M. Ramachandran
Publisher : Elsevier
ISBN 13 : 012417132X
Total Pages : 825 pages
Book Rating : 4.1/5 (241 download)

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Book Synopsis Mathematical Statistics with Applications in R by : Kandethody M. Ramachandran

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

Nonlinear Stochastic Systems in Physics and Mechanics

Author : N. Bellomo
Publisher : World Scientific
ISBN 13 : 9789971502492
Total Pages : 268 pages
Book Rating : 4.5/5 (24 download)

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Book Synopsis Nonlinear Stochastic Systems in Physics and Mechanics by : N. Bellomo

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.

Stochastic Systems

Author : Adomian
Publisher : Academic Press
ISBN 13 : 0080956750
Total Pages : 352 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Stochastic Systems by : Adomian

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

Probabilistic Analysis and Related Topics

Author : A. T. Bharucha-Reid
Publisher : Elsevier
ISBN 13 : 1483275469
Total Pages : 271 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Probabilistic Analysis and Related Topics by : A. T. Bharucha-Reid

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.

nonlinear analysis and applications

Author : Lakshmikantham
Publisher : CRC Press
ISBN 13 : 1000147037
Total Pages : 678 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis nonlinear analysis and applications by : Lakshmikantham

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.

The Joy of Finite Mathematics

Author : Chris P. Tsokos
Publisher : Academic Press
ISBN 13 : 0128029854
Total Pages : 556 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis The Joy of Finite Mathematics by : Chris P. Tsokos

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