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]

Label
Symmetries and integrability of difference equations
Title
Symmetries and integrability of difference equations
Statement of responsibility
edited by Decio Levi [and others]
Contributor
Subject
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 self-contained 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
Member of
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]
Instantiates
Publication
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 differential-difference 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 differential-difference 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]
Publication
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 differential-difference 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 differential-difference 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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