000 03322nam a22004815i 4500
001 978-1-4471-5460-0
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005 20140220082456.0
007 cr nn 008mamaa
008 131021s2014 xxk| s |||| 0|eng d
020 _a9781447154600
_9978-1-4471-5460-0
024 7 _a10.1007/978-1-4471-5460-0
_2doi
050 4 _aQA297-299.4
072 7 _aPBKS
_2bicssc
072 7 _aMAT021000
_2bisacsh
072 7 _aMAT006000
_2bisacsh
082 0 4 _a518
_223
100 1 _aJovanović, Boško S.
_eauthor.
245 1 0 _aAnalysis of Finite Difference Schemes
_h[electronic resource] :
_bFor Linear Partial Differential Equations with Generalized Solutions /
_cby Boško S. Jovanović, Endre Süli.
264 1 _aLondon :
_bSpringer London :
_bImprint: Springer,
_c2014.
300 _aXIII, 408 p. 7 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Series in Computational Mathematics,
_x0179-3632 ;
_v46
505 0 _aDistributions and function spaces -- Elliptic boundary-value problems -- Finite difference approximation of parabolic problems -- Finite difference approximation of hyperbolic problems.
520 _aThis book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions. Finite difference methods are a classical class of techniques for the numerical approximation of partial differential equations. Traditionally, their convergence analysis presupposes the smoothness of the coefficients, source terms, initial and boundary data, and of the associated solution to the differential equation. This then enables the application of elementary analytical tools to explore their stability and accuracy. The assumptions on the smoothness of the data and of the associated analytical solution are however frequently unrealistic. There is a wealth of boundary – and initial – value problems, arising from various applications in physics and engineering, where the data and the corresponding solution exhibit lack of regularity. In such instances classical techniques for the error analysis of finite difference schemes break down. The objective of this book is to develop the mathematical theory of finite difference schemes for linear partial differential equations with nonsmooth solutions. Analysis of Finite Difference Schemes is aimed at researchers and graduate students interested in the mathematical theory of numerical methods for the approximate solution of partial differential equations.
650 0 _aMathematics.
650 0 _aDifferential equations, partial.
650 0 _aNumerical analysis.
650 1 4 _aMathematics.
650 2 4 _aNumerical Analysis.
650 2 4 _aPartial Differential Equations.
700 1 _aSüli, Endre.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781447154594
830 0 _aSpringer Series in Computational Mathematics,
_x0179-3632 ;
_v46
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4471-5460-0
912 _aZDB-2-SMA
999 _c91890
_d91890