Nonlinear Stochastic Operator Equations

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Nonlinear Stochastic Operator Equations

Author : George Adomian
Publisher : Academic Press
ISBN 13 : 1483259099
Total Pages : 304 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Nonlinear Stochastic Operator Equations by : George Adomian

Download or read book Nonlinear Stochastic Operator Equations written by George Adomian and published by Academic Press. This book was released on 2014-05-09 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Stochastic Operator Equations deals with realistic solutions of the nonlinear stochastic equations arising from the modeling of frontier problems in many fields of science. This book also discusses a wide class of equations to provide modeling of problems concerning physics, engineering, operations research, systems analysis, biology, medicine. This text discusses operator equations and the decomposition method. This book also explains the limitations, restrictions and assumptions made in differential equations involving stochastic process coefficients (the stochastic operator case), which yield results very different from the needs of the actual physical problem. Real-world application of mathematics to actual physical problems, requires making a reasonable model that is both realistic and solvable. The decomposition approach or model is an approximation method to solve a wide range of problems. This book explains an inherent feature of real systems—known as nonlinear behavior—that occurs frequently in nuclear reactors, in physiological systems, or in cellular growth. This text also discusses stochastic operator equations with linear boundary conditions. This book is intended for students with a mathematics background, particularly senior undergraduate and graduate students of advanced mathematics, of the physical or engineering sciences.

Nonlinear Stochastic Systems Theory and Applications to Physics

Author : G. Adomian
Publisher : Springer Science & Business Media
ISBN 13 : 902772525X
Total Pages : 248 pages
Book Rating : 4.0/5 (277 download)

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Book Synopsis Nonlinear Stochastic Systems Theory and Applications to Physics by : G. Adomian

Download or read book Nonlinear Stochastic Systems Theory and Applications to Physics written by G. Adomian and published by Springer Science & Business Media. This book was released on 1988-12-31 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end and begin with the answers. Then one day, perhaps you will find the final answer. "The Hermit Clad In Crane Feathers" In R. van Gullk's The Chinese Haze Hurders. It Isn't that they can't see the solution. It IS that they can't see the problem. G. K. Chesterton. The Scandal of Father Brown. "The POint of a Pin." Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of k now ledge of m athemat i cs and re I ated fie I ds does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, COding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And In addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely Integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the eXisting classificatIOn schemes.

Nonlinear Stochastic Integrators, Equations and Flows

Author : René Carmona
Publisher : CRC Press
ISBN 13 : 9782881247330
Total Pages : 184 pages
Book Rating : 4.2/5 (473 download)

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Book Synopsis Nonlinear Stochastic Integrators, Equations and Flows by : René Carmona

Download or read book Nonlinear Stochastic Integrators, Equations and Flows written by René Carmona and published by CRC Press. This book was released on 1990-01-01 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highly technical monograph in which the authors, writing on the basis of their own recent research for the benefit of expert readers, describe a general theory of stochastic integration appropriate to situations in which the integral is a nonlinear function of the integrand. Book club price, $37. (NW) Annotation copyrighted by Book News, Inc., Portland, OR

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

Applied Stochastic Differential Equations

Author : Simo Särkkä
Publisher : Cambridge University Press
ISBN 13 : 1316510085
Total Pages : 327 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Applied Stochastic Differential Equations by : Simo Särkkä

Download or read book Applied Stochastic Differential Equations written by Simo Särkkä and published by Cambridge University Press. This book was released on 2019-05-02 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.

A Concise Course on Stochastic Partial Differential Equations

Author : Claudia Prévôt
Publisher : Springer
ISBN 13 : 3540707816
Total Pages : 149 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis A Concise Course on Stochastic Partial Differential Equations by : Claudia Prévôt

Download or read book A Concise Course on Stochastic Partial Differential Equations written by Claudia Prévôt and published by Springer. This book was released on 2007-05-26 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lectures concentrate on (nonlinear) stochastic partial differential equations (SPDE) of evolutionary type. There are three approaches to analyze SPDE: the "martingale measure approach", the "mild solution approach" and the "variational approach". The purpose of these notes is to give a concise and as self-contained as possible an introduction to the "variational approach". A large part of necessary background material is included in appendices.

Modern Nonlinear Equations

Author : Thomas L. Saaty
Publisher : Courier Corporation
ISBN 13 : 0486143767
Total Pages : 496 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Modern Nonlinear Equations by : Thomas L. Saaty

Download or read book Modern Nonlinear Equations written by Thomas L. Saaty and published by Courier Corporation. This book was released on 2012-04-26 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers major types of classical equations: operator, functional, difference, integro-differential, and more. Suitable for graduate students as well as scientists, technologists, and mathematicians. "A welcome contribution." — Math Reviews. 1964 edition.

Nonlinear Stochastic Problems

Author : S. Bucy
Publisher : Springer Science & Business Media
ISBN 13 : 9400971427
Total Pages : 609 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Nonlinear Stochastic Problems by : S. Bucy

Download or read book Nonlinear Stochastic Problems written by S. Bucy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume corresponds to the invited lectures and advanced research papers presented at the NATD Advanced Study Institute on Nonlinear Stochastic Problems with emphasis on Identification, Signal Processing, Control and Nonlinear Filtering held in Algarve (Portugal), on May 1982. The book is a blend of theoretical issues, algorithmic implementation aspects, and application examples. In many areas of science and engineering, there are problems which are intrinsically nonlinear 3nd stochastic in nature. Clear examples arise in identification and mOdeling, signal processing, nonlinear filtering, stochastic and adaptive conLrol. The meeting was organized because it was felt that there is a need for discussion of the methods and philosophy underlying these different areas, and in order to communicate those approaches that have proven to be effective. As the computational technology progresses, more general approaches to a number of problems which have been treated previously by linearization and perturbation methods become feasible and rewarding.

Invariant Measures for Stochastic Nonlinear Schrödinger Equations

Author : Jialin Hong
Publisher : Springer Nature
ISBN 13 : 9813290692
Total Pages : 220 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Invariant Measures for Stochastic Nonlinear Schrödinger Equations by : Jialin Hong

Download or read book Invariant Measures for Stochastic Nonlinear Schrödinger Equations written by Jialin Hong and published by Springer Nature. This book was released on 2019-08-22 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides some recent advance in the study of stochastic nonlinear Schrödinger equations and their numerical approximations, including the well-posedness, ergodicity, symplecticity and multi-symplecticity. It gives an accessible overview of the existence and uniqueness of invariant measures for stochastic differential equations, introduces geometric structures including symplecticity and (conformal) multi-symplecticity for nonlinear Schrödinger equations and their numerical approximations, and studies the properties and convergence errors of numerical methods for stochastic nonlinear Schrödinger equations. This book will appeal to researchers who are interested in numerical analysis, stochastic analysis, ergodic theory, partial differential equation theory, etc.

Stochastic Differential and Difference Equations

Author : Imre Csiszár
Publisher : Springer Science & Business Media
ISBN 13 : 9780817639716
Total Pages : 384 pages
Book Rating : 4.6/5 (397 download)

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Book Synopsis Stochastic Differential and Difference Equations by : Imre Csiszár

Download or read book Stochastic Differential and Difference Equations written by Imre Csiszár and published by Springer Science & Business Media. This book was released on 1997 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Periodically Correlated Solutions to a Class of Stochastic Difference Equations.- On Nonlinear SDE'S whose Densities Evolve in a Finite-Dimensional Family.- Composition of Skeletons and Support Theorems.- Invariant Measure for a Wave Equation on a Riemannian Manifold.- Ergodic Distributed Control for Parameter Dependent Stochastic Semilinear Systems.- Dirichlet Forms, Caccioppoli Sets and the Skorohod Equation Masatoshi Fukushima.- Rate of Convergence of Moments of Spall's SPSA Method.- General Setting for Stochastic Processes Associated with Quantum Fields.- On a Class of Semilinear Stochastic Partial Differential Equations.- Parallel Numerical Solution of a Class of Volterra Integro-Differential Equations.- On the Laws of the Oseledets Spaces of Linear Stochastic Differential Equations.- On Stationarity of Additive Bilinear State-space Representation of Time Series.- On Convergence of Approximations of Ito-Volterra Equations.- Non-isotropic Ornstein-Uhlenbeck Process and White Noise Analysis.- Stochastic Processes with Independent Increments on a Lie Group and their Selfsimilar Properties.- Optimal Damping of Forced Oscillations Discrete-time Systems by Output Feedback.- Forecast of Lévy's Brownian Motion as the Observation Domain Undergoes Deformation.- A Maximal Inequality for the Skorohod Integral.- On the Kinematics of Stochastic Mechanics.- Stochastic Equations in Formal Mappings.- On Fisher's Information Matrix of an ARMA Process.- Statistical Analysis of Nonlinear and NonGaussian Time Series.- Bilinear Stochastic Systems with Long Range Dependence in Continuous Time.- On Support Theorems for Stochastic Nonlinear Partial Differential Equations.- Excitation and Performance in Continuous-time Stochastic Adaptive LQ-control.- Invariant Measures for Diffusion Processes in Conuclear Spaces.- Degree Theory on Wiener Space and an Application to a Class of SPDEs.- On the Interacting Measure-Valued Branching Processes.

Nonlinear Stochastic PDEs

Author : Tadahisa Funaki
Publisher : Springer Science & Business Media
ISBN 13 : 1461384680
Total Pages : 319 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Nonlinear Stochastic PDEs by : Tadahisa Funaki

Download or read book Nonlinear Stochastic PDEs written by Tadahisa Funaki and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications NONLINEAR STOCHASTIC PDEs: HYDRODYNAMIC LIMIT AND BURGERS' TURBULENCE is based on the proceedings of the period of concentration on Stochas tic Methods for Nonlinear PDEs which was an integral part of the 1993- 94 IMA program on "Emerging Applications of Probability." We thank Tadahisa Funaki and Wojbor A. Woyczynski for organizing this meeting and for editing the proceedings. We also take this opportunity to thank the National Science Foundation and the Army Research Office, whose financial support made this workshop possible. A vner Friedman Willard Miller, Jr. xiii PREFACE A workshop on Nonlinear Stochastic Partial Differential Equations was held during the week of March 21 at the Institute for Mathematics and Its Applications at the University of Minnesota. It was part of the Special Year on Emerging Applications of Probability program put together by an organizing committee chaired by J. Michael Steele. The selection of topics reflected personal interests of the organizers with two areas of emphasis: the hydrodynamic limit problems and Burgers' turbulence and related models. The talks and the papers appearing in this volume reflect a number of research directions that are currently pursued in these areas.

Nonlinear Stochastic Evolution Problems in Applied Sciences

Author : N. Bellomo
Publisher : Springer Science & Business Media
ISBN 13 : 9401118205
Total Pages : 228 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Nonlinear Stochastic Evolution Problems in Applied Sciences by : N. Bellomo

Download or read book Nonlinear Stochastic Evolution Problems in Applied Sciences written by N. Bellomo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with the analysis of nonlinear evolution problems described by partial differential equations having random or stochastic parameters. The emphasis throughout is on the actual determination of solutions, rather than on proving the existence of solutions, although mathematical proofs are given when this is necessary from an applications point of view. The content is divided into six chapters. Chapter 1 gives a general presentation of mathematical models in continuum mechanics and a description of the way in which problems are formulated. Chapter 2 deals with the problem of the evolution of an unconstrained system having random space-dependent initial conditions, but which is governed by a deterministic evolution equation. Chapter 3 deals with the initial-boundary value problem for equations with random initial and boundary conditions as well as with random parameters where the randomness is modelled by stochastic separable processes. Chapter 4 is devoted to the initial-boundary value problem for models with additional noise, which obey Ito-type partial differential equations. Chapter 5 is essential devoted to the qualitative and quantitative analysis of the chaotic behaviour of systems in continuum physics. Chapter 6 provides indications on the solution of ill-posed and inverse problems of stochastic type and suggests guidelines for future research. The volume concludes with an Appendix which gives a brief presentation of the theory of stochastic processes. Examples, applications and case studies are given throughout the book and range from those involving simple stochasticity to stochastic illposed problems. For applied mathematicians, engineers and physicists whose work involves solving stochastic problems.

Linear and Nonlinear Stochastic Operators

Author : Kourken Malakian
Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.:/5 (628 download)

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Book Synopsis Linear and Nonlinear Stochastic Operators by : Kourken Malakian

Download or read book Linear and Nonlinear Stochastic Operators written by Kourken Malakian and published by . This book was released on 1979 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Differential Equations in Infinite Dimensional Spaces

Author : G. Kallianpur
Publisher : IMS
ISBN 13 : 9780940600386
Total Pages : 356 pages
Book Rating : 4.6/5 (3 download)

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Book Synopsis Stochastic Differential Equations in Infinite Dimensional Spaces by : G. Kallianpur

Download or read book Stochastic Differential Equations in Infinite Dimensional Spaces written by G. Kallianpur and published by IMS. This book was released on 1995 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Variational Methods for Potential Operator Equations

Author : Jan Chabrowski
Publisher : Walter de Gruyter
ISBN 13 : 9783110152692
Total Pages : 304 pages
Book Rating : 4.1/5 (526 download)

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Book Synopsis Variational Methods for Potential Operator Equations by : Jan Chabrowski

Download or read book Variational Methods for Potential Operator Equations written by Jan Chabrowski and published by Walter de Gruyter. This book was released on 1997 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in planning include Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures, and Applications to Parabolic Problems (2019) Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019) Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic and Computational Models for Fractional Calculus, second edition (2020) Mariusz Lemańczyk, Ergodic Theory: Spectral Theory, Joinings, and Their Applications (2020) Marco Abate, Holomorphic Dynamics on Hyperbolic Complex Manifolds (2021) Miroslava Antic, Joeri Van der Veken, and Luc Vrancken, Differential Geometry of Submanifolds: Submanifolds of Almost Complex Spaces and Almost Product Spaces (2021) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)

Computational Solution of Nonlinear Operator Equations

Author : Louis B. Rall
Publisher :
ISBN 13 :
Total Pages : 254 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Computational Solution of Nonlinear Operator Equations by : Louis B. Rall

Download or read book Computational Solution of Nonlinear Operator Equations written by Louis B. Rall and published by . This book was released on 1979 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Partial Differential Equations

Author : Pao-Liu Chow
Publisher : CRC Press
ISBN 13 : 1000738213
Total Pages : 296 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Stochastic Partial Differential Equations by : Pao-Liu Chow

Download or read book Stochastic Partial Differential Equations written by Pao-Liu Chow and published by CRC Press. This book was released on 2007-03-19 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a relatively new area in mathematics, stochastic partial differential equations (PDEs) are still at a tender age and have not yet received much attention in the mathematical community. Filling the void of an introductory text in the field, Stochastic Partial Differential Equations introduces PDEs to students familiar with basic probability theor