Symmetry Nonlinear Bifurcation Analysis And Parallel Computation
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Symmetry Nonlinear Bifurcation Analysis And Parallel Computation
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Author : James Christopher Wohlever
language : en
Publisher:
Release Date : 1996
Symmetry Nonlinear Bifurcation Analysis And Parallel Computation written by James Christopher Wohlever and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Bifurcation theory categories.
Computational Fluid And Solid Mechanics
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Author : K.J. Bathe
language : en
Publisher: Elsevier
Release Date : 2001-05-21
Computational Fluid And Solid Mechanics written by K.J. Bathe and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-21 with Technology & Engineering categories.
The MIT mission - "to bring together Industry and Academia and to nurture the next generation in computational mechanics is of great importance to reach the new level of mathematical modeling and numerical solution and to provide an exciting research environment for the next generation in computational mechanics." Mathematical modeling and numerical solution is today firmly established in science and engineering. Research conducted in almost all branches of scientific investigations and the design of systems in practically all disciplines of engineering can not be pursued effectively without, frequently, intensive analysis based on numerical computations.The world we live in has been classified by the human mind, for descriptive and analysis purposes, to consist of fluids and solids, continua and molecules; and the analyses of fluids and solids at the continuum and molecular scales have traditionally been pursued separately. Fundamentally, however, there are only molecules and particles for any material that interact on the microscopic and macroscopic scales. Therefore, to unify the analysis of physical systems and to reach a deeper understanding of the behavior of nature in scientific investigations, and of the behavior of designs in engineering endeavors, a new level of analysis is necessary. This new level of mathematical modeling and numerical solution does not merely involve the analysis of a single medium but must encompass the solution of multi-physics problems involving fluids, solids, and their interactions, involving multi-scale phenomena from the molecular to the macroscopic scales, and must include uncertainties in the given data and the solution results. Nature does not distinguish between fluids and solids and does not ever repeat itself exactly.This new level of analysis must also include, in engineering, the effective optimization of systems, and the modeling and analysis of complete life spans of engineering products, from design to fabrication, to possibly multiple repairs, to end of service.
Exploiting Symmetry In Applied And Numerical Analysis
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Author : Eugene L. Allgower
language : en
Publisher: American Mathematical Soc.
Release Date :
Exploiting Symmetry In Applied And Numerical Analysis written by Eugene L. Allgower and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Symmetry plays an important role in theoretical physics, applied analysis, classical differential equations, and bifurcation theory. Although numerical analysis has incorporated aspects of symmetry on an ad hoc basis, there is now a growing collection of numerical analysts who are currently attempting to use symmetry groups and representation theory as fundamental tools in their work. This book contains the proceedings of an AMS-SIAM Summer Seminar in Applied Mathematics, held in 1992 at Colorado State University. The seminar, which drew about 100 scientists from around the world, was intended to stimulate the systematic incorporation of symmetry and group theoretical concepts into numerical methods. The papers in this volume have been refereed and will not be published elsewhere.
Bifurcation Analysis Of Fluid Flows
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Author : Henk A. Dijkstra
language : en
Publisher: Cambridge University Press
Release Date : 2023-08-24
Bifurcation Analysis Of Fluid Flows written by Henk A. Dijkstra and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-24 with Science categories.
A better understanding of the mechanisms leading a fluid system to exhibit turbulent behavior is one of the grand challenges of the physical and mathematical sciences. Over the last few decades, numerical bifurcation methods have been extended and applied to a number of flow problems to identify critical conditions for fluid instabilities to occur. This book provides a state-of-the-art account of these numerical methods, with much attention to modern linear systems solvers and generalized eigenvalue solvers. These methods also have a broad applicability in industrial, environmental and astrophysical flows. The book is a must-have reference for anyone working in scientific fields where fluid flow instabilities play a role. Exercises at the end of each chapter and Python code for the bifurcation analysis of canonical fluid flow problems provide practice material to get to grips with the methods and concepts presented in the book.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1994
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Aeronautics categories.
Lectures On Nonlinear Dynamics
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Author : José Roberto Castilho Piqueira
language : en
Publisher: Springer Nature
Release Date : 2023-11-29
Lectures On Nonlinear Dynamics written by José Roberto Castilho Piqueira and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-29 with Science categories.
This book presents a compilation of lectures delivered at the São Paulo School of Advanced Sciences on Nonlinear Dynamics, categorized into four groups: parametric resonance, nonlinear modal analysis and model reduction, synchronization, and strongly nonlinear dynamics. Interwoven seamlessly, these groups cover a wide range of topics, from fundamental concepts to practical applications, catering to both introductory and advanced readers. The first group, consisting of chapters 1 and 2, serves as an introduction to the theory of parametric resonance and the dynamics of parametrically excited slender structures. Chapters 3, 4, and 5 form the second group, offering insights into normal forms, nonlinear normal modes, and nonlinear system identification. Chapters 6 and 7 delve into asynchronous modes of structural vibration and master-slave topologies for time signal distribution within synchronous systems, respectively, representing the third group. Finally, the last four chapters tackle the fourth group, exploring nonlinear dynamics of variable mass oscillators, advanced analytical methods for strong nonlinear vibration problems, chaos theory, and dynamic integrity from the perspectives of safety and design. This book harmoniously combines theoretical depth and practical relevance to provide a comprehensive understanding of nonlinear dynamics.
Computational Modelling Of Bifurcations And Instabilities In Fluid Dynamics
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Author : Alexander Gelfgat
language : en
Publisher: Springer
Release Date : 2018-07-06
Computational Modelling Of Bifurcations And Instabilities In Fluid Dynamics written by Alexander Gelfgat and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-06 with Technology & Engineering categories.
Instabilities of fluid flows and the associated transitions between different possible flow states provide a fascinating set of problems that have attracted researchers for over a hundred years. This book addresses state-of-the-art developments in numerical techniques for computational modelling of fluid instabilities and related bifurcation structures, as well as providing comprehensive reviews of recently solved challenging problems in the field.
Energy Research Abstracts
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Author :
language : en
Publisher:
Release Date : 1993
Energy Research Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Power resources categories.
Semiannual, with semiannual and annual indexes. References to all scientific and technical literature coming from DOE, its laboratories, energy centers, and contractors. Includes all works deriving from DOE, other related government-sponsored information, and foreign nonnuclear information. Arranged under 39 categories, e.g., Biomedical sciences, basic studies; Biomedical sciences, applied studies; Health and safety; and Fusion energy. Entry gives bibliographical information and abstract. Corporate, author, subject, report number indexes.
Modeling And Computations In Dynamical Systems In Commemoration Of The 100th Anniversary Of The Birth Of John Von Neumann
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Author : Eusebius Doedel
language : en
Publisher: World Scientific
Release Date : 2006-03-10
Modeling And Computations In Dynamical Systems In Commemoration Of The 100th Anniversary Of The Birth Of John Von Neumann written by Eusebius Doedel and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-10 with Science categories.
The Hungarian born mathematical genius, John von Neumann, was undoubtedly one of the greatest and most influential scientific minds of the 20th century. Von Neumann made fundamental contributions to Computing and he had a keen interest in Dynamical Systems, specifically Hydrodynamic Turbulence. This book, offering a state-of-the-art collection of papers in computational dynamical systems, is dedicated to the memory of von Neumann. Including contributions from J E Marsden, P J Holmes, M Shub, A Iserles, M Dellnitz and J Guckenheimer, this book offers a unique combination of theoretical and applied research in areas such as geometric integration, neural networks, linear programming, dynamical astronomy, chemical reaction models, structural and fluid mechanics.The contents of this book was also published as a special issue of the International Journal of Bifurcation and Chaos — March 2005.
Proceedings Of The International Symposium On Computational Mathematics Iscm 90
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Author :
language : en
Publisher:
Release Date : 1991
Proceedings Of The International Symposium On Computational Mathematics Iscm 90 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Numerical analysis categories.