Applications Of Lie S Theory Of Ordinary And Partial Differential Equations

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Applications Of Lie S Theory Of Ordinary And Partial Differential Equations

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Author : L Dresner
language : en
Publisher: CRC Press
Release Date : 1998-01-01

Applications Of Lie S Theory Of Ordinary And Partial Differential Equations written by L Dresner and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Science categories.

Lie's group theory of differential equations unifies the many ad hoc methods known for solving differential equations and provides powerful new ways to find solutions. The theory has applications to both ordinary and partial differential equations and is not restricted to linear equations. Applications of Lie's Theory of Ordinary and Partial Differential Equations provides a concise, simple introduction to the application of Lie's theory to the solution of differential equations. The author emphasizes clarity and immediacy of understanding rather than encyclopedic completeness, rigor, and generality. This enables readers to quickly grasp the essentials and start applying the methods to find solutions. The book includes worked examples and problems from a wide range of scientific and engineering fields.

Symmetry Analysis Of Differential Equations With Mathematica

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Author : Gerd Baumann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21

Symmetry Analysis Of Differential Equations With Mathematica written by Gerd Baumann 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 2013-11-21 with Mathematics categories.

The purpose of this book is to provide the reader with a comprehensive introduction to the applications of symmetry analysis to ordinary and partial differential equations. The theoretical background of physics is illustrated by modem methods of computer algebra. The presentation of the material in the book is based on Mathematica 3.0 note books. The entire printed version of this book is available on the accompanying CD. The text is presented in such a way that the reader can interact with the calculations and experiment with the models and methods. Also contained on the CD is a package called MathLie-in honor of Sophus Lie---carrying out the calculations automatically. The application of symmetry analysis to problems from physics, mathematics, and en gineering is demonstrated by many examples. The study of symmetries of differential equations is an old subject. Thanks to Sophus Lie we today have available to us important information on the behavior of differential equations. Symmetries can be used to find exact solutions. Symmetries can be applied to verify and to develop numerical schemes. They can provide conservation laws for differential equations. The theory presented here is based on Lie, containing improve ments and generalizations made by later mathematicians who rediscovered and used Lie's work. The presentation of Lie's theory in connection with Mathematica is novel and vitalizes an old theory. The extensive symbolic calculations necessary under Lie's theory are supported by MathLie, a package written in Mathematica.

Applications Of Lie Groups To Differential Equations

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Author : Peter J. Olver
language : en
Publisher: Springer Science & Business Media
Release Date : 1993

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 1993 with Language Arts & Disciplines categories.

A solid introduction to applications of Lie groups to differential equations which have proved to be useful in practice. The computational methods are presented such that graduates and researchers can readily learn to use them. Following an exposition of the applications, the book develops the underlying theory, with many of the topics presented in a novel way, emphasising explicit examples and computations. Further examples, as well as new theoretical developments, appear in the exercises at the end of each chapter.

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.

Advanced Differential Equations

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Author : Ali Mason
language : en
Publisher: Scientific e-Resources
Release Date : 2019-11-07

Advanced Differential Equations written by Ali Mason and has been published by Scientific e-Resources this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-07 with categories.

Advanced differential equations appear in several applications especially as mathematical models in economics, an advanced term may for example reflect the dependency on anticipated capital stock. This book also deals with nonoscillation properties of scalar advanced differential equations. Some new oscillation and nonoscillation criteria are given for linear delay or advanced differential equations with variable coefficients and not necessarily constant delays or advanced arguments. The present book has been written in the light of the latest syllabi of several Universities. The subject matter has been presented in such a way that it is easily accessible to students. The method of presentation is very clear and lucid which can be easily followed by the students. The contents conform to the specified syllabi and are so structured as to enable the student to move easily from the fundamental to the complex. It is our earnest hope that this book will be of great value to all our students.

Symmetries And Integrability Of Difference Equations

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Author : Decio Levi
language : en
Publisher: Cambridge University Press
Release Date : 2011-06-23

Symmetries And Integrability Of Difference Equations written by Decio Levi 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 2011-06-23 with Mathematics categories.

A comprehensive introduction to the subject suitable for graduate students and researchers. This book is also an up-to-date survey of the current state of the art and thus will serve as a valuable reference for specialists in the field.

Bulletin New Series Of The American Mathematical Society

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Author :
language : en
Publisher:
Release Date : 1896

Bulletin New Series Of The American Mathematical Society written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1896 with Mathematics categories.

Bulletin Of The American Mathematical Society

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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1896

Bulletin 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 1896 with Mathematics categories.

Numerical Methods In Mechanics

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Author : Carlos Conca
language : en
Publisher: CRC Press
Release Date : 1997-07-16

Numerical Methods In Mechanics written by Carlos Conca and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-16 with Mathematics categories.

This volume contains the invited papers given at the Fourth French-Latin American Congress on Applied Mathematics. New numerical techniques in fluid and solid mechanics were presented.

Integral Transforms Reproducing Kernels And Their Applications

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Author : Saburou Saitoh
language : en
Publisher: CRC Press
Release Date : 2020-11-26

Integral Transforms Reproducing Kernels And Their Applications written by Saburou Saitoh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-26 with Mathematics categories.

The general theories contained in the text will give rise to new ideas and methods for the natural inversion formulas for general linear mappings in the framework of Hilbert spaces containing the natural solutions for Fredholm integral equations of the first kind.