3 edition of **Applications of Lie groups to difference equations** found in the catalog.

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Published
**2011**
by Chapman & Hall/CRC in Boca Raton, FL
.

Written in English

- Difference equations,
- MATHEMATICS / Applied,
- MATHEMATICS / Differential Equations

**Edition Notes**

Includes bibliographical references (p. 251-262) and index.

Statement | Vladimir Dorodnitsyn |

Series | Differential and integral equations and their applications -- v. 8 |

Classifications | |
---|---|

LC Classifications | QA431 .D67 2011 |

The Physical Object | |

Pagination | lxxx, 264 p. : |

Number of Pages | 264 |

ID Numbers | |

Open Library | OL25539679M |

ISBN 10 | 1420083090, 1420083104 |

ISBN 10 | 9781420083095, 9781420083101 |

LC Control Number | 2010043674 |

OCLC/WorldCa | 540161454 |

This book provides a solid introduction to those applications of Lie groups to differential equations which have proved to be useful in practice. The computational methods are presented so that graduate students and researchers can readily learn to use them. Following an exposition of the applications, the book develops the underlying s: 4. This book explains the following topics: First Order Equations, Numerical Methods, Applications of First Order Equations1em, Linear Second Order Equations, Applcations of Linear Second Order Equations, Series Solutions of Linear Second Order Equations, Laplace Transforms, Linear Higher Order Equations, Linear Systems of Differential Equations, Boundary Value Problems and Fourier .

Conservation laws for difference equations Noether-type identities and difference analog of Noether’s theorem Necessary and sufficient conditions for global extremal equations to be invariant Applications of Lagrangian formalism to second-order difference equations Moving mesh schemes for the nonlinear Shrödinger equation Hamiltonian. 96 B LIE GROUPS AND DIFFERENTIAL EQUATIONS B.7 Lie Groups and Di erential Equations Peter J. Olver in Minneapolis, MN (U.S.A.) mailto:[email protected] The applications of Lie groups to solve di erential equations dates back to the original work of Sophus Lie, who invented Lie groups .

Read Applications of Lie Groups to Difference Equations Differential and Integral Equations PDF Online. Hinig Download A First Course in Differential Equations with Modeling Applications Ebook Free. Book Differential Equations: A Modeling Approach (Quantitative Applications in the Social Sciences) Thihaphi. Chapters 4 to 13 give a detailed introduction to Lie algebras and their representations, covering the Cartan-Weyl basis, simple and affine Lie algebras, real forms and Lie groups, the Weyl group.

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Book Description. 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 and results in a new area. Applications of Lie Groups to Difference Equations (Differential and Integral Equations and Their Applications, Volume 8) Vladimir Dorodnitsyn.

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.

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 no.

"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.

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.

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.

The purpose of this book is to provide a solid introduction to those applications of Lie groups to differential equations which have proved to be useful in practice, including determination of symmetry groups, integration of orginary differential equations, construction of group-invariant solutions to partial differential equations, symmetries.

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. This book provides a solid introduction to those applications of Lie groups to differential equations which have proved to be useful in practice.

The computational methods are presented so that graduate students and researchers can readily learn to use them.

Following an exposition of the applications, the book develops the underlying theory. Description: 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.

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 and results in a new area of application Cited by: The book provides a systematic application of Lie groups to difference equations, difference meshes, and difference functionals. Besides the well-explained theoretical background and motivations, there is also a large number of concrete examples discussed in reasonable details.5/5(1).

Author: Vladimir Dorodnitsyn. Publisher: CRC Press ISBN: Category: Mathematics Page: View: DOWNLOAD NOW» 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.

The invariance of differential equations under transformation groups, usually Lie groups, naturally comes from the models they formalise, and there is a lot of literature dedicated to applications of Lie groups in differential equations.

The difference schemes for solving differential equations, on the other hand, discretise the space, and it appears to be important that such a scheme preserves the. Summary: "This book presents a survey of methods and results in a new application area of Lie groups to difference equations and difference meshes (lattices).

It focuses on the formulation and mathematical substantiation of exact symmetry preservation in difference.

"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 : Gebundenes Buch.

Symmetry methods have long been recognized to be of great importance for the study of the differential equations arising in mathematics, physics, engineering, and many other disciplines. The purpose of this book is to provide a solid introduction to those applications of Lie groups to differential equations that have proved to be useful in practice, including determination of symmetry groups 4/5(2).

Lie groups are smooth differentiable manifolds and as such can be studied using differential calculus, in contrast with the case of more general topological of the key ideas in the theory of Lie groups is to replace the global object, the group, with its local or linearized version, which Lie himself called its "infinitesimal group" and which has since become known as its Lie algebra.

Applications of Lie Groups to Differential Equations Paperback – Jan. 21 by Peter J. Olver (Author) out of 5 stars 4 ratings See all formats and editions Hide other formats and editionsReviews: 4. Beginning with an introduction to elementary solution methods, the book gives readers a clear explanation of exact techniques for ordinary and partial difference equations.

The informal presentation is suitable for anyone who is familiar with standard differential equation methods.Applications of Lie Groups to Differential Equations Second Edition, Graduate Texts in Mathematics, vol.Springer-Verlag, New York, Description, price, and ordering information Corrections to second (corrected) printing and paperback version of second edition—.

Applications of Lie Groups to Differential Equations by Peter J. Olver,available at Book Depository with free delivery worldwide.