Lie Theoretic Ode Numerical Analysis Mechanics And Differential Systems

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Lie Theoretic Ode Numerical Analysis Mechanics And Differential Systems

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Author : Robert Hermann
language : en
Publisher: Math-Sci Press
Release Date : 1994

Lie Theoretic Ode Numerical Analysis Mechanics And Differential Systems written by Robert Hermann and has been published by Math-Sci Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

Applications Of Lie Groups To Differential Equations

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Author : Peter J. Olver
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Applications Of Lie Groups To Differential Equations written by Peter J. Olver and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This book is devoted to explaining a wide range of applications of con tinuous symmetry groups to physically important systems of differential equations. Emphasis is placed on significant applications of group-theoretic methods, organized so that the applied reader can readily learn the basic computational techniques required for genuine physical problems. The first chapter collects together (but does not prove) those aspects of Lie group theory which are of importance to differential equations. Applications covered in the body of the book include calculation of symmetry groups of differential equations, integration of ordinary differential equations, including special techniques for Euler-Lagrange equations or Hamiltonian systems, differential invariants and construction of equations with pre scribed symmetry groups, group-invariant solutions of partial differential equations, dimensional analysis, and the connections between conservation laws and symmetry groups. Generalizations of the basic symmetry group concept, and applications to conservation laws, integrability conditions, completely integrable systems and soliton equations, and bi-Hamiltonian systems are covered in detail. The exposition is reasonably self-contained, and supplemented by numerous examples of direct physical importance, chosen from classical mechanics, fluid mechanics, elasticity and other applied areas.

Interdisciplinary Mathematics Lie Theoretic Ode Numerical Analysis Mechanics And Differential Systems

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Author : Robert Hermann
language : en
Publisher:
Release Date : 1973

Interdisciplinary Mathematics Lie Theoretic Ode Numerical Analysis Mechanics And Differential Systems written by Robert Hermann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematical physics categories.

Interdisciplinary Mathematics Lie Theoretic Ode Numerical Analysis Mechanics And Differential Systems

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Author : Robert Hermann
language : en
Publisher:
Release Date : 1973

Interdisciplinary Mathematics Lie Theoretic Ode Numerical Analysis Mechanics And Differential Systems written by Robert Hermann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematical physics categories.

Dynamical Systems Theoretical And Experimental Analysis

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Author : Jan Awrejcewicz
language : en
Publisher: Springer
Release Date : 2016-09-17

Dynamical Systems Theoretical And Experimental Analysis written by Jan Awrejcewicz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-17 with Mathematics categories.

The book is the second volume of a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the international conference "Dynamical Systems: Theory and Applications," held in Łódź, Poland on December 7-10, 2015. The studies give deep insight into new perspectives in analysis, simulation, and optimization of dynamical systems, emphasizing directions for future research. Broadly outlined topics covered include: bifurcation and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, stability of dynamical systems, vibrations of lumped and continuous sytems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.

Mathematical Methods Of Classical Mechanics

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Author : V.I. Arnol'd
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-09

Mathematical Methods Of Classical Mechanics written by V.I. Arnol'd and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-09 with Mathematics categories.

In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance.

Notices Of The American Mathematical Society

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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1994

Notices Of The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

Elementary Lie Group Analysis And Ordinary Differential Equations

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Author : Nailʹ Khaĭrullovich Ibragimov
language : en
Publisher:
Release Date : 1999

Elementary Lie Group Analysis And Ordinary Differential Equations written by Nailʹ Khaĭrullovich Ibragimov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Differential equations categories.

Applications Of Lie Groups To Difference Equations

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Author : Vladimir Dorodnitsyn
language : en
Publisher: CRC Press
Release Date : 2010-12-01

Applications Of Lie Groups To Difference Equations written by Vladimir Dorodnitsyn and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-01 with Mathematics categories.

Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations. A guide to methods

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 1995

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.