Coverart for item
The Resource Discrete systems and integrability, J. Hietarinta, University of Turku, N. Joshi, University of Sydney, F.W. Nijhoff, University of Leeds

Discrete systems and integrability, J. Hietarinta, University of Turku, N. Joshi, University of Sydney, F.W. Nijhoff, University of Leeds

Label
Discrete systems and integrability
Title
Discrete systems and integrability
Statement of responsibility
J. Hietarinta, University of Turku, N. Joshi, University of Sydney, F.W. Nijhoff, University of Leeds
Creator
Contributor
Author
Subject
Language
eng
Summary
"This first introductory text to Discrete Integrable Systems introduces key notions of integrability from the vantage point of discrete systems, also making connections with the continuous theory where relevant. While treating the material at an elementary level, the book also highlights many recent developments. Topics include: Darboux and Bäcklund transformations, difference equations and special functions, multidimensional consistency of integrable lattice equations, associated linear problems (Lax pairs), connections with Padé approximants and convergence algorithms, Hirota's bilinear formalism for lattices, intriguing properties of discrete Painlevé equations, and the novel theory of Lagrangian multiforms. The book builds the material in an organic way, emphasizing interconnections between the various approaches, while the exposition is mostly done through explicit computations on key examples. Written by respected experts in the field, the numerous exercises and the thorough list of references will benefit upper-level undergraduate, and beginning graduate, students as well as researchers from other disciplines"--
Member of
Assigning source
Provided by publisher
Cataloging source
OU/DLC
Dewey number
511/.1
Illustrations
illustrations
Index
index present
LC call number
QC20.7.I58
LC item number
H54 2016
Literary form
non fiction
Nature of contents
bibliography
Series statement
Cambridge texts in applied mathematics
Label
Discrete systems and integrability, J. Hietarinta, University of Turku, N. Joshi, University of Sydney, F.W. Nijhoff, University of Leeds
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 411-439) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction to difference equations -- Discrete equations from transformations of continuous equations -- Integrability of PEs -- Interlude: lattice equations and numerical algorithms -- Continuum limits of lattice PE -- One-dimensional lattices and maps -- Identifying integrable difference equations -- Hirota's bilinear method -- Multi-soliton solutions and the Cauchy matrix scheme -- Similarity reductions of integrable PE's -- Discrete Painlevé equations -- Lagrangian multiform theory
Dimensions
25 cm.
Extent
xiii, 445 pages
Isbn
9781107669482
Lccn
2016005109
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
(OCoLC)937999189
Label
Discrete systems and integrability, J. Hietarinta, University of Turku, N. Joshi, University of Sydney, F.W. Nijhoff, University of Leeds
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 411-439) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction to difference equations -- Discrete equations from transformations of continuous equations -- Integrability of PEs -- Interlude: lattice equations and numerical algorithms -- Continuum limits of lattice PE -- One-dimensional lattices and maps -- Identifying integrable difference equations -- Hirota's bilinear method -- Multi-soliton solutions and the Cauchy matrix scheme -- Similarity reductions of integrable PE's -- Discrete Painlevé equations -- Lagrangian multiform theory
Dimensions
25 cm.
Extent
xiii, 445 pages
Isbn
9781107669482
Lccn
2016005109
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
(OCoLC)937999189

Library Locations

    • Harold B. Lee Library Brigham Young University, Provo, UT, 84602, US
      40.249156 -111.649242
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