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Structure-Preserving Algorithms for Oscillatory Differential Equations

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Author :
Release : 2013-02-02
Genre : Technology & Engineering
Kind : eBook
Book Rating : 38X/5 ( reviews)

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Book Synopsis Structure-Preserving Algorithms for Oscillatory Differential Equations by : Xinyuan Wu

Download or read book Structure-Preserving Algorithms for Oscillatory Differential Equations written by Xinyuan Wu. This book was released on 2013-02-02. Available in PDF, EPUB and Kindle. Book excerpt: Structure-Preserving Algorithms for Oscillatory Differential Equations describes a large number of highly effective and efficient structure-preserving algorithms for second-order oscillatory differential equations by using theoretical analysis and numerical validation. Structure-preserving algorithms for differential equations, especially for oscillatory differential equations, play an important role in the accurate simulation of oscillatory problems in applied sciences and engineering. The book discusses novel advances in the ARKN, ERKN, two-step ERKN, Falkner-type and energy-preserving methods, etc. for oscillatory differential equations. The work is intended for scientists, engineers, teachers and students who are interested in structure-preserving algorithms for differential equations. Xinyuan Wu is a professor at Nanjing University; Xiong You is an associate professor at Nanjing Agricultural University; Bin Wang is a joint Ph.D student of Nanjing University and University of Cambridge.

General Systems Theory

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Release : 2005
Genre : Science
Kind : eBook
Book Rating : 750/5 ( reviews)

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Book Synopsis General Systems Theory by : Lars Skyttner

Download or read book General Systems Theory written by Lars Skyttner. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: Systems theorists see common principles in the structure and operation of systems of all kinds and sizes. They promote an interdisciplinary science adapted for a universal application with a common language and area of concepts. In order to solve problems, make recommendations and predict the future, they use theories, models and concepts from the vast area of general systems theory. This approach is chosen as a means to overcome the fragmentation of knowledge and the isolation of the specialist but also to find new approaches to problems created by earlier 'solution of problems.'. This revised and updated second edition of General Systems Theory OCo Ideas and Applications includes new systems theories and a new chapter on self-organization and evolution. The book summarizes most of the fields of systems theory and its application systems science in one volume. It provides a quick and readable reference guide for future learning containing both general theories and practical applications without the use of complicated mathematics. Sample Chapter(s). Chapter 1: The Emergence of Holistic Thinking (2,002 KB). Contents: The Theories and Why: The Emergence of Holistic Thinking; Basic Ideas of General Systems Theory; A Selection of Systems Theories; Communication and Information Theory; Some Theories of Brain and Mind; Self-Organization and Evolution; The Applications and How: Artificial Intelligence and Life; Organizational Theory and Management Cybernetics; Decision-Making and Decision Aids; Informatics; Some of the Systems Methodologies; The Future of Systems Theory. Readership: Computer specialists, architects, businessmen, decision makers of all kinds, teachers and holistic thinkers."

Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics

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Release : 2016-05-10
Genre : Technology & Engineering
Kind : eBook
Book Rating : 799/5 ( reviews)

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Book Synopsis Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics by : Peter Betsch

Download or read book Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics written by Peter Betsch. This book was released on 2016-05-10. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on structure-preserving numerical methods for flexible multibody dynamics, including nonlinear elastodynamics and geometrically exact models for beams and shells. It also deals with the newly emerging class of variational integrators as well as Lie-group integrators. It discusses two alternative approaches to the discretization in space of nonlinear beams and shells. Firstly, geometrically exact formulations, which are typically used in the finite element community and, secondly, the absolute nodal coordinate formulation, which is popular in the multibody dynamics community. Concerning the discretization in time, the energy-momentum method and its energy-decaying variants are discussed. It also addresses a number of issues that have arisen in the wake of the structure-preserving discretization in space. Among them are the parameterization of finite rotations, the incorporation of algebraic constraints and the computer implementation of the various numerical methods. The practical application of structure-preserving methods is illustrated by a number of examples dealing with, among others, nonlinear beams and shells, large deformation problems, long-term simulations and coupled thermo-mechanical multibody systems. In addition it links novel time integration methods to frequently used methods in industrial multibody system simulation.

Linear Orderings

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Release : 1982-06-01
Genre : Mathematics
Kind : eBook
Book Rating : 142/5 ( reviews)

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Book Synopsis Linear Orderings by :

Download or read book Linear Orderings written by . This book was released on 1982-06-01. Available in PDF, EPUB and Kindle. Book excerpt: Linear Orderings

Computational Models for Polydisperse Particulate and Multiphase Systems

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Release : 2013-03-28
Genre : Technology & Engineering
Kind : eBook
Book Rating : 179/5 ( reviews)

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Book Synopsis Computational Models for Polydisperse Particulate and Multiphase Systems by : Daniele L. Marchisio

Download or read book Computational Models for Polydisperse Particulate and Multiphase Systems written by Daniele L. Marchisio. This book was released on 2013-03-28. Available in PDF, EPUB and Kindle. Book excerpt: Providing a clear description of the theory of polydisperse multiphase flows, with emphasis on the mesoscale modelling approach and its relationship with microscale and macroscale models, this all-inclusive introduction is ideal whether you are working in industry or academia. Theory is linked to practice through discussions of key real-world cases (particle/droplet/bubble coalescence, break-up, nucleation, advection and diffusion and physical- and phase-space), providing valuable experience in simulating systems that can be applied to your own applications. Practical cases of QMOM, DQMOM, CQMOM, EQMOM and ECQMOM are also discussed and compared, as are realizable finite-volume methods. This provides the tools you need to use quadrature-based moment methods, choose from the many available options, and design high-order numerical methods that guarantee realizable moment sets. In addition to the numerous practical examples, MATLAB® scripts for several algorithms are also provided, so you can apply the methods described to practical problems straight away.

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