Approximate Solution of Random Equations

Approximate Solution of Random Equations
Title Approximate Solution of Random Equations PDF eBook
Author Albert T. Bharucha-Reid
Publisher North-Holland
Pages 264
Release 1979
Genre Mathematics
ISBN

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Random Integral Equations

Random Integral Equations
Title Random Integral Equations PDF eBook
Author Bharucha-Reid
Publisher Academic Press
Pages 283
Release 1973-03-02
Genre Computers
ISBN 008095605X

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Random Integral Equations

Probabilistic Analysis and Related Topics

Probabilistic Analysis and Related Topics
Title Probabilistic Analysis and Related Topics PDF eBook
Author A. T. Bharucha-Reid
Publisher Elsevier
Pages 271
Release 2014-05-10
Genre Mathematics
ISBN 1483275469

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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

nonlinear analysis and applications
Title nonlinear analysis and applications PDF eBook
Author Lakshmikantham
Publisher CRC Press
Pages 680
Release 2020-11-26
Genre Mathematics
ISBN 1000103609

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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.

Stochastic Processes in Mathematical Physics and Engineering

Stochastic Processes in Mathematical Physics and Engineering
Title Stochastic Processes in Mathematical Physics and Engineering PDF eBook
Author American Mathematical Society
Publisher American Mathematical Soc.
Pages 328
Release 1964
Genre Mathematics
ISBN 0821813161

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Nonlinear Stochastic Operator Equations

Nonlinear Stochastic Operator Equations
Title Nonlinear Stochastic Operator Equations PDF eBook
Author George Adomian
Publisher Academic Press
Pages 304
Release 2014-05-09
Genre Science
ISBN 1483259099

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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 Problems of Engineering

Nonlinear Problems of Engineering
Title Nonlinear Problems of Engineering PDF eBook
Author William F. Ames
Publisher Academic Press
Pages 267
Release 2014-05-12
Genre Science
ISBN 148322581X

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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.