The Method Of Weighted Residuals And Variational Principles
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The Method Of Weighted Residuals And Variational Principles
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Author : Bruce A. Finlayson
language : en
Publisher: Bruce Alan Finlayson
Release Date : 1972
The Method Of Weighted Residuals And Variational Principles written by Bruce A. Finlayson and has been published by Bruce Alan Finlayson this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematics categories.
The method of weighted residuals and variational principles, with application in fluid mechanics, heat and mass transfer
The Method Of Weighted Residuals And Variational Principles
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Author : B. Finlayson
language : en
Publisher:
Release Date : 1972
The Method Of Weighted Residuals And Variational Principles written by B. Finlayson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.
The Method Of Weighted Residuals And Variational Principles
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Author : Bruce A. Finlayson
language : en
Publisher: SIAM
Release Date : 2013-12-30
The Method Of Weighted Residuals And Variational Principles written by Bruce A. Finlayson and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-30 with Mathematics categories.
This classic book covers the solution of differential equations in science and engineering in such as way as to provide an introduction for novices before progressing toward increasingly more difficult problems. The Method of Weighted Residuals and Variational Principles describes variational principles, including how to find them and how to use them to construct error bounds and create stationary principles. The book also illustrates how to use simple methods to find approximate solutions, shows how to use the finite element method for more complex problems, and provides detailed information on error bounds. Problem sets make this book ideal for self-study or as a course text.
The Method Of Weighted Residuals And Variational Principles With Application In Fluid Mechanics Heat And Mass Transfer Volume 87
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Author : BA. FINLAYSON
language : en
Publisher:
Release Date : 1972
The Method Of Weighted Residuals And Variational Principles With Application In Fluid Mechanics Heat And Mass Transfer Volume 87 written by BA. FINLAYSON and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.
Nonlinear Processes In Engineering
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Author :
language : en
Publisher: Academic Press
Release Date : 1974-09-20
Nonlinear Processes In Engineering written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-09-20 with Technology & Engineering categories.
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
Proceedings
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Author :
language : en
Publisher:
Release Date : 1971
Proceedings written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Matrices categories.
Nonlinear Dynamics And Stochastic Mechanics
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Author : Wolfgang Kliemann
language : en
Publisher: CRC Press
Release Date : 2018-05-04
Nonlinear Dynamics And Stochastic Mechanics written by Wolfgang Kliemann and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.
Engineering systems have played a crucial role in stimulating many of the modern developments in nonlinear and stochastic dynamics. After 20 years of rapid progress in these areas, this book provides an overview of the current state of nonlinear modeling and analysis for mechanical and structural systems. This volume is a coherent compendium written by leading experts from the United States, Canada, Western and Eastern Europe, and Australia. The 22 articles describe the background, recent developments, applications, and future directions in bifurcation theory, chaos, perturbation methods, stochastic stability, stochastic flows, random vibrations, reliability, disordered systems, earthquake engineering, and numerics. The book gives readers a sophisticated toolbox that will allow them to tackle modeling problems in mechanical systems that use stochastic and nonlinear dynamics ideas. An extensive bibliography and index ensure this volume will remain a reference standard for years to come.
Spectral Methods In Chemistry And Physics
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Author : Bernard Shizgal
language : en
Publisher: Springer
Release Date : 2015-01-07
Spectral Methods In Chemistry And Physics written by Bernard Shizgal and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-07 with Science categories.
This book is a pedagogical presentation of the application of spectral and pseudospectral methods to kinetic theory and quantum mechanics. There are additional applications to astrophysics, engineering, biology and many other fields. The main objective of this book is to provide the basic concepts to enable the use of spectral and pseudospectral methods to solve problems in diverse fields of interest and to a wide audience. While spectral methods are generally based on Fourier Series or Chebychev polynomials, non-classical polynomials and associated quadratures are used for many of the applications presented in the book. Fourier series methods are summarized with a discussion of the resolution of the Gibbs phenomenon. Classical and non-classical quadratures are used for the evaluation of integrals in reaction dynamics including nuclear fusion, radial integrals in density functional theory, in elastic scattering theory and other applications. The subject matter includes the calculation of transport coefficients in gases and other gas dynamical problems based on spectral and pseudospectral solutions of the Boltzmann equation. Radiative transfer in astrophysics and atmospheric science, and applications to space physics are discussed. The relaxation of initial non-equilibrium distributions to equilibrium for several different systems is studied with the Boltzmann and Fokker-Planck equations. The eigenvalue spectra of the linear operators in the Boltzmann, Fokker-Planck and Schrödinger equations are studied with spectral and pseudospectral methods based on non-classical orthogonal polynomials. The numerical methods referred to as the Discrete Ordinate Method, Differential Quadrature, the Quadrature Discretization Method, the Discrete Variable Representation, the Lagrange Mesh Method, and others are discussed and compared. MATLAB codes are provided for most of the numerical results reported in the book - see Link under 'Additional Information' on the the right-hand column.
The Finite Element Method For Engineers
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Author : Kenneth H. Huebner
language : en
Publisher: John Wiley & Sons
Release Date : 2001-09-07
The Finite Element Method For Engineers written by Kenneth H. Huebner and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-09-07 with Technology & Engineering categories.
A useful balance of theory, applications, and real-world examples The Finite Element Method for Engineers, Fourth Edition presents a clear, easy-to-understand explanation of finite element fundamentals and enables readers to use the method in research and in solving practical, real-life problems. It develops the basic finite element method mathematical formulation, beginning with physical considerations, proceeding to the well-established variation approach, and placing a strong emphasis on the versatile method of weighted residuals, which has shown itself to be important in nonstructural applications. The authors demonstrate the tremendous power of the finite element method to solve problems that classical methods cannot handle, including elasticity problems, general field problems, heat transfer problems, and fluid mechanics problems. They supply practical information on boundary conditions and mesh generation, and they offer a fresh perspective on finite element analysis with an overview of the current state of finite element optimal design. Supplemented with numerous real-world problems and examples taken directly from the authors' experience in industry and research, The Finite Element Method for Engineers, Fourth Edition gives readers the real insight needed to apply the method to challenging problems and to reason out solutions that cannot be found in any textbook.
Numerical Methods In Mechanics Of Materials
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Author : Ken P. Chong
language : en
Publisher: CRC Press
Release Date : 2017-11-27
Numerical Methods In Mechanics Of Materials written by Ken P. Chong and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-27 with Technology & Engineering categories.
In the dynamic digital age, the widespread use of computers has transformed engineering and science. A realistic and successful solution of an engineering problem usually begins with an accurate physical model of the problem and a proper understanding of the assumptions employed. With computers and appropriate software we can model and analyze complex physical systems and problems. However, efficient and accurate use of numerical results obtained from computer programs requires considerable background and advanced working knowledge to avoid blunders and the blind acceptance of computer results. This book provides the background and knowledge necessary to avoid these pitfalls, especially the most commonly used numerical methods employed in the solution of physical problems. It offers an in-depth presentation of the numerical methods for scales from nano to macro in nine self-contained chapters with extensive problems and up-to-date references, covering: Trends and new developments in simulation and computation Weighted residuals methods Finite difference methods Finite element methods Finite strip/layer/prism methods Boundary element methods Meshless methods Molecular dynamics Multiphysics problems Multiscale methods