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Author : Bharucha-Reid
Publisher : Academic Press
ISBN 13 : 008095605X
Total Pages : 283 pages
Book Rating : 4.0/5 (89 download)
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
Author : M.A. Krasnosel'skii
Publisher : Springer Science & Business Media
ISBN 13 : 9401027153
Total Pages : 495 pages
Book Rating : 4.4/5 (1 download)
Download or read book Approximate Solution of Operator Equations written by M.A. Krasnosel'skii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important chapters in modern functional analysis is the theory of approximate methods for solution of various mathematical problems. Besides providing considerably simplified approaches to numerical methods, the ideas of functional analysis have also given rise to essentially new computation schemes in problems of linear algebra, differential and integral equations, nonlinear analysis, and so on. The general theory of approximate methods includes many known fundamental results. We refer to the classical work of Kantorovich; the investigations of projection methods by Bogolyubov, Krylov, Keldysh and Petrov, much furthered by Mikhlin and Pol'skii; Tikho nov's methods for approximate solution of ill-posed problems; the general theory of difference schemes; and so on. During the past decade, the Voronezh seminar on functional analysis has systematically discussed various questions related to numerical methods; several advanced courses have been held at Voronezh Uni versity on the application of functional analysis to numerical mathe matics. Some of this research is summarized in the present monograph. The authors' aim has not been to give an exhaustive account, even of the principal known results. The book consists of five chapters.
Author :
Publisher : Academic Press
ISBN 13 : 0080956173
Total Pages : 289 pages
Book Rating : 4.0/5 (89 download)
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
Author : American Mathematical Society
Publisher : American Mathematical Soc.
ISBN 13 : 0821813161
Total Pages : 328 pages
Book Rating : 4.8/5 (218 download)
Download or read book Stochastic Processes in Mathematical Physics and Engineering written by American Mathematical Society and published by American Mathematical Soc.. This book was released on 1964 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. T. Bharucha-Reid
Publisher : Elsevier
ISBN 13 : 1483275469
Total Pages : 271 pages
Book Rating : 4.4/5 (832 download)
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.
Author : M. Zuhair Nashed
Publisher : Elsevier
ISBN 13 : 1483270297
Total Pages : 1069 pages
Book Rating : 4.4/5 (832 download)
Download or read book Generalized Inverses and Applications written by M. Zuhair Nashed and published by Elsevier. This book was released on 2014-05-10 with total page 1069 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalized Inverses and Applications, contains the proceedings of an Advanced Seminar on Generalized Inverses and Applications held at the University of Wisconsin-Madison on October 8-10, 1973 under the auspices of the university's Mathematics Research Center. The seminar provided a forum for discussing the basic theory of generalized inverses and their applications to analysis and operator equations. Numerical analysis and approximation methods are considered, along with applications to statistics and econometrics, optimization, system theory, and operations research. Comprised of 14 chapters, this book begins by describing a unified approach to generalized inverses of linear operators, with particular reference to algebraic, topological, extremal, and proximinal properties. The reader is then introduced to the algebraic aspects of the generalized inverse of a rectangular matrix; the Fredholm pseudoinverse; and perturbations and approximations for generalized inverses and linear operator equations. Subsequent chapters deal with various applications of generalized inverses, including programming, games, and networks, as well as estimation and aggregation in econometrics. This monograph will be of interest to mathematicians and students of mathematics.
Author : K. Sobczyk
Publisher : Springer Science & Business Media
ISBN 13 : 9401137129
Total Pages : 414 pages
Book Rating : 4.4/5 (11 download)
Download or read book Stochastic Differential Equations written by K. Sobczyk and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi, ..~ si lavait su CO.llUlJalt en revc:nir, One acMcc matbcmatica bu JaIdcred the human rac:c. It bu put COIDIDOD _ beet je n'y serais point aBe.' Jules Verne wbac it bdoup, 0Jl!be~ IbcII _t to!be dusty cauialcr Iabc & d 'diMardod__ The series is divergent; thc:reforc we may be -'. I!.ticT. Bc:I1 able to do something with it. O. Hcavisidc Mathematics is a tool for thought. A highly necessary tool in a world when: both feedback and non linearities abound. Similarly. all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statcmalts as: 'One service topology has rendered mathematical physics ...-; 'One service logic has rendered c0m puter science ... '; 'One service category theory has rendered mathematics ... '. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series. This series, Mathematics and Its Applications. started in 19n. Now that over one hundred volumes have appeared it seems opportune to reexamine its scope. At the time I wrote "Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However. the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branc:hes. It also happens, quite often in fact, that branches which were thought to be completely
Author :
Publisher :
ISBN 13 :
Total Pages : 1194 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 1996 with total page 1194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jurgen Appell
Publisher : CRC Press
ISBN 13 : 1482270404
Total Pages : 579 pages
Book Rating : 4.4/5 (822 download)
Download or read book Partial Integral Operators and Integro-Differential Equations written by Jurgen Appell and published by CRC Press. This book was released on 2000-02-29 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained account of integro-differential equations of the Barbashin type and partial integral operators. It presents the basic theory of Barbashin equations in spaces of continuous or measurable functions, including existence, uniqueness, stability and perturbation results. The theory and applications of partial integral operators and linea
Author : A. R. Bednarek
Publisher : Academic Press
ISBN 13 : 1483267822
Total Pages : 537 pages
Book Rating : 4.4/5 (832 download)
Download or read book Dynamical Systems written by A. R. Bednarek and published by Academic Press. This book was released on 2014-06-28 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical Systems compiles the lectures and contributed papers read at the International Symposium on Dynamical Systems held at the University of Florida in Gainesville, Florida on March 24-26, 1976. This book discusses the principle of exchange of stability; weak-invariance and rest points in control systems; local controllability in nonlinear systems; and unitary treatment of various types of systems in stability-theory. The optimization of structural geometry; dispersal manifolds in partial differential games; remarks on existence theorems for Pareto optimality; and stability of solutions bifurcating from steady or periodic solutions are also elaborated. This compilation likewise covers the linear neutral functional differential equations on a Banach space; radiation reaction in electrodynamics; and buckling of cylindrical shells with small curvature. This publication is beneficial to students and researchers working on dynamical systems.
Author : W.S. Hall
Publisher : Springer Science & Business Media
ISBN 13 : 0306483874
Total Pages : 429 pages
Book Rating : 4.3/5 (64 download)
Download or read book Boundary Element Methods for Soil-Structure Interaction written by W.S. Hall and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: W S HALL School of Computing and Mathematics, University of Teesside, Middlesbrough, TS1 3BA UK G OLIVETO Division of Structural Engineering, Department of Civil and Environmental Engineering, University of Catania, Viale A. Doria 6, 95125 Catania, Italy Soil-Structure Interaction is a challenging multidisciplinary subject which covers several areas of Civil Engineering. Virtually every construction is connected to the ground and the interaction between the artefact and the foundation medium may affect considerably both the superstructure and the foundation soil. The Soil-Structure Interaction problem has become an important feature of Structural Engineering with the advent of massive constructions on soft soils such as nuclear power plants, concrete and earth dams. Buildings, bridges, tunnels and underground structures may also require particular attention to be given to the problems of Soil-Structure Interaction. Dynamic Soil-Structure Interaction is prominent in Earthquake Engineering problems. The complexity of the problem, due also to its multidisciplinary nature and to the fact of having to consider bounded and unbounded media of different mechanical characteristics, requires a numerical treatment for any application of engineering significance. The Boundary Element Method appears to be well suited to solve problems of Soil- Structure Interaction through its ability to discretize only the boundaries of complex and often unbounded geometries. Non-linear problems which often arise in Soil-Structure Interaction may also be treated advantageously by a judicious mix of Boundary and Finite Element discretizations.
Author : C. P. Tsokos
Publisher : Springer
ISBN 13 : 3540369929
Total Pages : 181 pages
Book Rating : 4.5/5 (43 download)
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.
Author : Mathematics Research Center (United States. Army)
Publisher :
ISBN 13 :
Total Pages : 454 pages
Book Rating : 4.:/5 (89 download)
Download or read book MRC Technical Summary Report written by Mathematics Research Center (United States. Army) and published by . This book was released on 1972 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. Adomian
Publisher : Academic Press
ISBN 13 : 1483259080
Total Pages : 312 pages
Book Rating : 4.4/5 (832 download)
Download or read book Applied Stochastic Processes written by G. Adomian and published by Academic Press. This book was released on 2014-05-09 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Stochastic Processes is a collection of papers dealing with stochastic processes, stochastic equations, and their applications in many fields of science. One paper discusses stochastic systems involving randomness in the system itself that can be a large dynamical multi-input, multi-output system. Examples of a large system are the national economy of a major country or when an acoustic wave is propagating as in the atmosphere, ocean, or sea. Another paper proves that only the average properties of the molecules of biology can be measured with precision in the test tube; and disputes a "simplistic" model of the cell as defined by a miniature Laplaces' universe. The paper notes that the way existing cells are constructed implies that quantum mechanical principles lead to certain questions (about simple experiments) having only statistical answers. Another paper addresses the detection of distributed, fluctuating targets in a reverberation limited, randomly time, and space varying transmission media. This approach is done by using the concepts of "random Green's functions" and the "stochastic Green's function." The collection will prove useful for cellular researchers, mathematicians, physicist, engineers, and academicians in the field of applied mathematics, statistics, and chemistry.
Author :
Publisher :
ISBN 13 :
Total Pages : 620 pages
Book Rating : 4.:/5 (26 download)
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William F. Ames
Publisher : Academic Press
ISBN 13 : 148322581X
Total Pages : 267 pages
Book Rating : 4.4/5 (832 download)
Download or read book Nonlinear Problems of Engineering written by William F. Ames and published by Academic Press. This book was released on 2014-05-12 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Problems of Engineering reviews certain nonlinear problems of engineering. This book provides a discussion of nonlinear problems that occur in four areas, namely, mathematical methods, fluid mechanics, mechanics of solids, and transport phenomena. Organized into 15 chapters, this book begins with an overview of some of the fundamental ideas of two mathematical theories, namely, invariant imbedding and dynamic programming. This text then explores nonlinear integral equations, which have long occupied a prominent place in mathematical analysis. Other chapters consider the phenomena associated with essentially divergent small-divisor series, such as may occur in the formal solution of differential equations that represent the oscillations of conservative dynamical systems. This book discusses as well the mechanics of idealized textiles consisting of inextensible filaments. The final chapter deals with the use of the Peaceman–Rachford alternating direction implicit method for solving the finite difference analogs of boundary value problems. This book is a valuable resource for engineers and mathematicians.
Author :
Publisher :
ISBN 13 :
Total Pages : 684 pages
Book Rating : 4.3/5 (91 download)
Download or read book Proceedings of the Conference on Probability Theory written by and published by . This book was released on 1985 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt:
