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
Resource Information
The item Discrete systems and integrability, J. Hietarinta, University of Turku, N. Joshi, University of Sydney, F.W. Nijhoff, University of Leeds represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Brigham Young University.This item is available to borrow from 1 library branch.
Resource Information
The item Discrete systems and integrability, J. Hietarinta, University of Turku, N. Joshi, University of Sydney, F.W. Nijhoff, University of Leeds represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Brigham Young University.
This item is available to borrow from 1 library branch.
 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 upperlevel undergraduate, and beginning graduate, students as well as researchers from other disciplines"
 Language
 eng
 Extent
 xiii, 445 pages
 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
 Onedimensional lattices and maps
 Identifying integrable difference equations
 Hirota's bilinear method
 Multisoliton solutions and the Cauchy matrix scheme
 Similarity reductions of integrable PE's
 Discrete Painlevé equations
 Lagrangian multiform theory
 Isbn
 9781107669482
 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
 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 upperlevel undergraduate, and beginning graduate, students as well as researchers from other disciplines"
 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
 Bibliography note
 Includes bibliographical references (pages 411439) 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  Onedimensional lattices and maps  Identifying integrable difference equations  Hirota's bilinear method  Multisoliton 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
 Bibliography note
 Includes bibliographical references (pages 411439) 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  Onedimensional lattices and maps  Identifying integrable difference equations  Hirota's bilinear method  Multisoliton 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
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