000 02663nam a22003738i 4500
001 CR9781139016988
003 UkCbUP
005 20200124160224.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 110215s2014||||enk o ||1 0|eng|d
020 _a9781139016988 (ebook)
020 _z9780521878524 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA431
_b.H93 2014
082 0 0 _a515/.625
_223
100 1 _aHydon, Peter E.
_q(Peter Ellsworth),
_d1960-
_eauthor.
245 1 0 _aDifference equations by differential equation methods /
_cPeter E. Hydon, University of Surrey.
264 1 _aCambridge :
_bCambridge University Press,
_c2014.
300 _a1 online resource (xv, 206 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge monographs on applied and computational mathematics ;
_v27
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 2 _a1. Elementary method for linear O[delta]Es -- 2. Simple symmetry method for O[delta]Es -- 3. Extensions of basic symmetry methods -- 4. Lattice transformations -- 5. Solution methods for P[delta]Es -- 6. Conservation laws -- References -- Index.
520 _aMost well-known solution techniques for differential equations exploit symmetry in some form. Systematic methods have been developed for finding and using symmetries, first integrals and conservation laws of a given differential equation. Here the author explains how to extend these powerful methods to difference equations, greatly increasing the range of solvable problems. Beginning with an introduction to elementary solution methods, the book gives readers a clear explanation of exact techniques for ordinary and partial difference equations. The informal presentation is suitable for anyone who is familiar with standard differential equation methods. No prior knowledge of difference equations or symmetry is assumed. The author uses worked examples to help readers grasp new concepts easily. There are 120 exercises of varying difficulty and suggestions for further reading. The book goes to the cutting edge of research; its many new ideas and methods make it a valuable reference for researchers in the field.
650 0 _aDifference equations.
650 0 _aDifferential equations.
650 0 _aDifference equations
_xNumerical solutions.
776 0 8 _iPrint version:
_z9780521878524
830 0 _aCambridge monographs on applied and computational mathematics ;
_v27.
856 4 0 _uhttps://doi.org/10.1017/CBO9781139016988
999 _c516996
_d516994