000 04162nam a22006255i 4500
001 978-3-319-71655-8
003 DE-He213
005 20210118122456.0
007 cr nn 008mamaa
008 180403s2017 gw | s |||| 0|eng d
020 _a9783319716558
_9978-3-319-71655-8
024 7 _a10.1007/978-3-319-71655-8
_2doi
050 4 _aQA431
072 7 _aPBKJ
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKJ
_2thema
082 0 4 _a515.625
_223
082 0 4 _a515.75
_223
100 1 _aKrasil'shchik, Joseph.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 4 _aThe Symbolic Computation of Integrability Structures for Partial Differential Equations
_h[electronic resource] /
_cby Joseph Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo.
250 _a1st ed. 2017.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXV, 263 p. 28 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTexts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
_x0943-853X
505 0 _aIntroduction -- Computational problems in the geometry of PDEs -- Old and new Reduce software for integrability of PDEs -- Internal coordinates and total derivatives -- Conservation laws and nonlocal variables -- Cosymmetries -- Symmetries -- The tangent covering -- Recursion operators for symmetries -- Variational symplectic structures -- Cotangent covering -- Variational Poisson structures -- Recursion operators for cosymmetries -- The Plebanski equation -- Discussion.
520 _aThis is the first book devoted to the task of computing integrability structures by computer. The symbolic computation of integrability operator is a computationally hard problem and the book covers a huge number of situations through tutorials. The mathematical part of the book is a new approach to integrability structures that allows to treat all of them in a unified way. The software is an official package of Reduce. Reduce is free software, so everybody can download it and make experiments using the programs available at our website.
650 0 _aDifference equations.
650 0 _aFunctional equations.
650 0 _aComputer science—Mathematics.
650 1 4 _aDifference and Functional Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12031
650 2 4 _aMath Applications in Computer Science.
_0http://scigraph.springernature.com/things/product-market-codes/I17044
650 2 4 _aSymbolic and Algebraic Manipulation.
_0http://scigraph.springernature.com/things/product-market-codes/I17052
700 1 _aVerbovetsky, Alexander.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aVitolo, Raffaele.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319716541
776 0 8 _iPrinted edition:
_z9783319716565
776 0 8 _iPrinted edition:
_z9783030100889
830 0 _aTexts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
_x0943-853X
856 4 0 _uhttps://doi.org/10.1007/978-3-319-71655-8
912 _aZDB-2-SCS
999 _c445663
_d445663
942 _cEB
506 _aAvailable to subscribing member institutions only. Доступно лише організаціям членам підписки.
506 _fOnline access from local network of NaUOA.
506 _fOnline access with authorization at https://link.springer.com/
506 _fОнлайн-доступ з локальної мережі НаУОА.
506 _fОнлайн доступ з авторизацією на https://link.springer.com/