Random Perturbation Methods with Applications in Science and Engineering - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Perturbation Methods with Applications in Science and Engineering write by Anatoli V. Skorokhod. This book was released on 2007-06-21. Random Perturbation Methods with Applications in Science and Engineering available in PDF, EPUB and Kindle. 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.
Random Perturbation Methods with Applications in Science and Engineering
Random Perturbation Methods with Applications in Science and Engineering - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Perturbation Methods with Applications in Science and Engineering write by Anatoli V Skorokhod. This book was released on 2002-07-09. Random Perturbation Methods with Applications in Science and Engineering available in PDF, EPUB and Kindle.
Perturbation Methods with Applications in Science and Engineering
Perturbation Methods with Applications in Science and Engineering - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Perturbation Methods with Applications in Science and Engineering write by İlkay Bakırtaş. This book was released on 2018-10-17. Perturbation Methods with Applications in Science and Engineering available in PDF, EPUB and Kindle. The governing equations of mathematical, chemical, biological, mechanical and economical models are often nonlinear and too complex to be solved analytically. Perturbation theory provides effective tools for obtaining approximate analytical solutions to a wide variety of such nonlinear problems, which may include differential or difference equations. In this book, we aim to present the recent developments and applications of the perturbation theory for treating problems in applied mathematics, physics and engineering. The eight chapters cover a variety of topics related to perturbation methods. The book is intended to draw attention of researchers and scientist in academia and industry.
Stochastic Dynamics of Structures
Stochastic Dynamics of Structures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Dynamics of Structures write by Jie Li. This book was released on 2009-07-23. Stochastic Dynamics of Structures available in PDF, EPUB and Kindle. In Stochastic Dynamics of Structures, Li and Chen present a unified view of the theory and techniques for stochastic dynamics analysis, prediction of reliability, and system control of structures within the innovative theoretical framework of physical stochastic systems. The authors outline the fundamental concepts of random variables, stochastic process and random field, and orthogonal expansion of random functions. Readers will gain insight into core concepts such as stochastic process models for typical dynamic excitations of structures, stochastic finite element, and random vibration analysis. Li and Chen also cover advanced topics, including the theory of and elaborate numerical methods for probability density evolution analysis of stochastic dynamical systems, reliability-based design, and performance control of structures. Stochastic Dynamics of Structures presents techniques for researchers and graduate students in a wide variety of engineering fields: civil engineering, mechanical engineering, aerospace and aeronautics, marine and offshore engineering, ship engineering, and applied mechanics. Practicing engineers will benefit from the concise review of random vibration theory and the new methods introduced in the later chapters. "The book is a valuable contribution to the continuing development of the field of stochastic structural dynamics, including the recent discoveries and developments by the authors of the probability density evolution method (PDEM) and its applications to the assessment of the dynamic reliability and control of complex structures through the equivalent extreme-value distribution." —A. H-S. Ang, NAE, Hon. Mem. ASCE, Research Professor, University of California, Irvine, USA "The authors have made a concerted effort to present a responsible and even holistic account of modern stochastic dynamics. Beyond the traditional concepts, they also discuss theoretical tools of recent currency such as the Karhunen-Loeve expansion, evolutionary power spectra, etc. The theoretical developments are properly supplemented by examples from earthquake, wind, and ocean engineering. The book is integrated by also comprising several useful appendices, and an exhaustive list of references; it will be an indispensable tool for students, researchers, and practitioners endeavoring in its thematic field." —Pol Spanos, NAE, Ryon Chair in Engineering, Rice University, Houston, USA
Random Evolutionary Systems
Random Evolutionary Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Evolutionary Systems write by Dmitri Koroliouk. This book was released on 2021-08-02. Random Evolutionary Systems available in PDF, EPUB and Kindle. Within the field of modeling complex objects in natural sciences, which considers systems that consist of a large number of interacting parts, a good tool for analyzing and fitting models is the theory of random evolutionary systems, considering their asymptotic properties and large deviations. In Random Evolutionary Systems we consider these systems in terms of the operators that appear in the schemes of their diffusion and the Poisson approximation. Such an approach allows us to obtain a number of limit theorems and asymptotic expansions of processes that model complex stochastic systems, both those that are autonomous and those dependent on an external random environment. In this case, various possibilities of scaling processes and their time parameters are used to obtain different limit results.
