The Symbolic Computation of Integrability Structures for Partial Differential Equations / / by Joseph Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo
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| Autore: |
Krasil'shchik Joseph
|
| Titolo: |
The Symbolic Computation of Integrability Structures for Partial Differential Equations / / by Joseph Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Edizione: | 1st ed. 2017. |
| Descrizione fisica: | 1 online resource (272 pages) |
| Disciplina: | 515.353 |
| Soggetto topico: | Difference equations |
| Functional equations | |
| Computer science—Mathematics | |
| Difference and Functional Equations | |
| Math Applications in Computer Science | |
| Symbolic and Algebraic Manipulation | |
| Persona (resp. second.): | VerbovetskyAlexander |
| VitoloRaffaele | |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Introduction -- 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. |
| Sommario/riassunto: | This 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. |
| Titolo autorizzato: | The Symbolic Computation of Integrability Structures for Partial Differential Equations |
| ISBN: | 3-319-71655-7 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910280950603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria, . 0943-853X