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The Resource Symmetries and integrability of difference equations, edited by Decio Levi [and others]
Symmetries and integrability of difference equations, edited by Decio Levi [and others]
Resource Information
The item Symmetries and integrability of difference equations, edited by Decio Levi [and others] represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Symmetries and integrability of difference equations, edited by Decio Levi [and others] represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 "Difference equations are playing an increasingly important role in the natural sciences. Indeed many phenomena are inherently discrete and are naturally described by difference equations. Phenomena described by differential equations are therefore approximations of more basic discrete ones. Moreover, in their study it is very often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference equations. This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference ones. Each of the eleven chapters is a selfcontained treatment of a topic, containing introductory material as well as the latest research results. The book will be welcomed by graduate students and researchers seeking an introduction to the field. As a survey of the current state of the art it will also serve as a valuable reference"Provided by publisher
 Language
 eng
 Extent
 xviii, 341 pages
 Note
 Machine generated contents note: 1. Lagrangian and Hamiltonian formalism for discrete equations: symmetries and first integrals V. Dorodnitsyn and R. Kozlov; 2. Painleve; equations: continuous, discrete and ultradiscrete B. Grammaticos and A. Ramani; 3. Definitions and predictions of integrability for difference equations J. Hietarinta; 4. Orthogonal polynomials, their recursions, and functional equations M. E. H. Ismail; 5. Discrete Painleve; equations and orthogonal polynomials A. Its; 6. Generalized Lie symmetries for difference equations D. Levi and R. I. Yamilov; 7. Four lectures on discrete systems S. P. Novikov; 8. Lectures on moving frames P. J. Olver; 9. Lattices of compact semisimple Lie groups J. Patera; 10. Lectures on discrete differential geometry Yu. B Suris; 11. Symmetry preserving discretization of differential equations and Lie point symmetries of differentialdifference equations P. Winternitz
 Contents

 Lagrangian and Hamiltonian formalism for discrete equations: symmetries and first integrals / V. Dorodnitsyn and R. Kozlov
 Painlevé equations: continuous, discrete and ultradiscrete / B. Grammaticos and A. Ramani
 Definitions and predictions of integrability for difference equations / J. Hietarinta
 Orthogonal polynomials, their recursions, and functional equations / M.E.H. Ismail
 Discrete Painlevé equations and orthogonal polynomials / A. Its
 Generalized Lie symmetries for difference equations / D. Levi and R.I. Yamilov
 Four lectures on discrete systems / S.P. Novikov
 Lectures on moving frames / P.J. Olver
 Lattices of compact semisimple Lie groups / J. Patera
 Lectures on discrete differential geometry / Yu. B Suris
 Symmetry preserving discretization of differential equations and Lie point symmetries of differentialdifference equations / P. Winternitz
 Isbn
 9780521136587
 Label
 Symmetries and integrability of difference equations
 Title
 Symmetries and integrability of difference equations
 Statement of responsibility
 edited by Decio Levi [and others]
 Language
 eng
 Summary
 "Difference equations are playing an increasingly important role in the natural sciences. Indeed many phenomena are inherently discrete and are naturally described by difference equations. Phenomena described by differential equations are therefore approximations of more basic discrete ones. Moreover, in their study it is very often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference equations. This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference ones. Each of the eleven chapters is a selfcontained treatment of a topic, containing introductory material as well as the latest research results. The book will be welcomed by graduate students and researchers seeking an introduction to the field. As a survey of the current state of the art it will also serve as a valuable reference"Provided by publisher
 Cataloging source
 DLC
 Illustrations
 illustrations
 Index
 no index present
 LC call number
 QA431
 LC item number
 .S952 2011
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Levi, D.
 Series statement
 London Mathematical Society lecture note series
 Series volume
 381
 http://library.link/vocab/subjectName

 Difference equations
 Symmetry (Mathematics)
 Integrals
 Difference equations
 Integrals
 Symmetry (Mathematics)
 Label
 Symmetries and integrability of difference equations, edited by Decio Levi [and others]
 Note
 Machine generated contents note: 1. Lagrangian and Hamiltonian formalism for discrete equations: symmetries and first integrals V. Dorodnitsyn and R. Kozlov; 2. Painleve; equations: continuous, discrete and ultradiscrete B. Grammaticos and A. Ramani; 3. Definitions and predictions of integrability for difference equations J. Hietarinta; 4. Orthogonal polynomials, their recursions, and functional equations M. E. H. Ismail; 5. Discrete Painleve; equations and orthogonal polynomials A. Its; 6. Generalized Lie symmetries for difference equations D. Levi and R. I. Yamilov; 7. Four lectures on discrete systems S. P. Novikov; 8. Lectures on moving frames P. J. Olver; 9. Lattices of compact semisimple Lie groups J. Patera; 10. Lectures on discrete differential geometry Yu. B Suris; 11. Symmetry preserving discretization of differential equations and Lie point symmetries of differentialdifference equations P. Winternitz
 Bibliography note
 Includes bibliographical references
 Carrier category
 volume
 Carrier category code
 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Lagrangian and Hamiltonian formalism for discrete equations: symmetries and first integrals / V. Dorodnitsyn and R. Kozlov  Painlevé equations: continuous, discrete and ultradiscrete / B. Grammaticos and A. Ramani  Definitions and predictions of integrability for difference equations / J. Hietarinta  Orthogonal polynomials, their recursions, and functional equations / M.E.H. Ismail  Discrete Painlevé equations and orthogonal polynomials / A. Its  Generalized Lie symmetries for difference equations / D. Levi and R.I. Yamilov  Four lectures on discrete systems / S.P. Novikov  Lectures on moving frames / P.J. Olver  Lattices of compact semisimple Lie groups / J. Patera  Lectures on discrete differential geometry / Yu. B Suris  Symmetry preserving discretization of differential equations and Lie point symmetries of differentialdifference equations / P. Winternitz
 Dimensions
 23 cm.
 Extent
 xviii, 341 pages
 Isbn
 9780521136587
 Isbn Type
 (pbk.)
 Lccn
 2011006852
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code
 n
 Other physical details
 illustrations
 System control number

 (OCoLC)707626621
 (OCoLC)ocn707626621
 Label
 Symmetries and integrability of difference equations, edited by Decio Levi [and others]
 Note
 Machine generated contents note: 1. Lagrangian and Hamiltonian formalism for discrete equations: symmetries and first integrals V. Dorodnitsyn and R. Kozlov; 2. Painleve; equations: continuous, discrete and ultradiscrete B. Grammaticos and A. Ramani; 3. Definitions and predictions of integrability for difference equations J. Hietarinta; 4. Orthogonal polynomials, their recursions, and functional equations M. E. H. Ismail; 5. Discrete Painleve; equations and orthogonal polynomials A. Its; 6. Generalized Lie symmetries for difference equations D. Levi and R. I. Yamilov; 7. Four lectures on discrete systems S. P. Novikov; 8. Lectures on moving frames P. J. Olver; 9. Lattices of compact semisimple Lie groups J. Patera; 10. Lectures on discrete differential geometry Yu. B Suris; 11. Symmetry preserving discretization of differential equations and Lie point symmetries of differentialdifference equations P. Winternitz
 Bibliography note
 Includes bibliographical references
 Carrier category
 volume
 Carrier category code
 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Lagrangian and Hamiltonian formalism for discrete equations: symmetries and first integrals / V. Dorodnitsyn and R. Kozlov  Painlevé equations: continuous, discrete and ultradiscrete / B. Grammaticos and A. Ramani  Definitions and predictions of integrability for difference equations / J. Hietarinta  Orthogonal polynomials, their recursions, and functional equations / M.E.H. Ismail  Discrete Painlevé equations and orthogonal polynomials / A. Its  Generalized Lie symmetries for difference equations / D. Levi and R.I. Yamilov  Four lectures on discrete systems / S.P. Novikov  Lectures on moving frames / P.J. Olver  Lattices of compact semisimple Lie groups / J. Patera  Lectures on discrete differential geometry / Yu. B Suris  Symmetry preserving discretization of differential equations and Lie point symmetries of differentialdifference equations / P. Winternitz
 Dimensions
 23 cm.
 Extent
 xviii, 341 pages
 Isbn
 9780521136587
 Isbn Type
 (pbk.)
 Lccn
 2011006852
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code
 n
 Other physical details
 illustrations
 System control number

 (OCoLC)707626621
 (OCoLC)ocn707626621
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