MARC Record from harvard_bibliographic_metadata

LEADER: 03266nam a22004215a 4500
001 013831377-6
005 20131206194038.0
008 121227s1999 xxu| s ||0| 0|eng d
020 $a9781461215325
020 $a9781461215325
020 $a9780387988887
024 7 $a10.1007/978-1-4612-1532-5$2doi
035 $a(Springer)9781461215325
040 $aSpringer
050 4 $aQC19.2-20.85
072 7 $aPHU$2bicssc
072 7 $aSCI040000$2bisacsh
082 04 $a530.1$223
100 1 $aConte, Robert,$eeditor.
245 14 $aThe Painlevé Property :$bOne Century Later /$cedited by Robert Conte.
264 1 $aNew York, NY :$bSpringer New York,$c1999.
300 $aXXVI, 810 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aCRM Series in Mathematical Physics
505 0 $aSingularities of Ordinary Linear Differential Equations -- Introduction to the Theory of Isomonodronic Deformations -- Painlevé Approach to Nonlinear Ordinary Differential Equations -- Asymptotic Studies of the Painlevé Equations -- 2D Quantum and Topological Gravities -- Painlevé Transcendents in Two Dimensional Topological Field -- Discrete Painlevé Equations -- Painlevé Analysis for Partial Differential Equations -- On Painlevé and Darboux Halpen Type Equations -- Symmetry Reduction and Exact Solutions -- Painlevé Equations in Terms of Entire Functions -- Backlund Transformations of Painlevé Equations -- The Hamiltonians Associated to Painleve Equations -- Completeness of the Painlevé Test.
520 $aThe subject this volume is explicit integration, that is, the analytical as opposed to the numerical solution, of all kinds of nonlinear differential equations (ordinary differential, partial differential, finite difference). Such equations describe many physical phenomena, their analytic solutions (particular solutions, first integral, and so forth) are in many cases preferable to numerical computation, which may be long, costly and, worst, subject to numerical errors. In addition, the analytic approach can provide a global knowledge of the solution, while the numerical approach is always local. Explicit integration is based on the powerful methods based on an in-depth study of singularities, that were first used by Poincaré and subsequently developed by Painlevé in his famous Leçons de Stockholm of 1895. The recent interest in the subject and in the equations investigated by Painlevé dates back about thirty years ago, arising from three, apparently disjoint, fields: the Ising model of statistical physics and field theory, propagation of solitons, and dynamical systems. The chapters in this volume, based on courses given at Cargèse 1998, alternate mathematics and physics; they are intended to bring researchers entering the field to the level of present research.
650 10 $aPhysics.
650 0 $aPhysics.
650 0 $aMathematics.
650 24 $aTheoretical, Mathematical and Computational Physics.
650 24 $aApplications of Mathematics.
776 08 $iPrinted edition:$z9780387988887
830 0 $aCRM Series in Mathematical Physics.
988 $a20131114
906 $0VEN