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010   $a3-11-048972-4
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035   $a(MiAaPQ)EBC4707945
035   $a(DE-B1597)469145
035   $a(OCoLC)960708576
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035   $a(DE-B1597)9783110491326
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100   $a20161014h20162016  uy             0
101 0 $aeng
135   $aurcnu||||||||
181   $2rdacontent
182   $2rdamedia
183   $2rdacarrier
200 00$aExact finite-difference schemes /$fedited by Sergey Lemeshevsky, Piotr Matus, Dmitriy Poliakov
210  1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2016.
210  4$d©2016
215   $a1 online resource (248 pages)
311   $a3-11-048964-3 
327   $tFrontmatter -- $tPreface -- $tContents -- $tBasic notation -- $tPreliminary results / $rLemeshevsky, Sergey / Matus, Piotr / Poliakov, Dmitriy -- $tHyperbolic equations / $rLemeshevsky, Sergey / Matus, Piotr / Poliakov, Dmitriy -- $tParabolic equations / $rLemeshevsky, Sergey / Matus, Piotr / Poliakov, Dmitriy -- $tUse of exact difference schemes to construct NSFD discretizations of differential equations / $rMickens, Ronald E. / Washington, Talitha M. -- $tExact and truncated difference schemes for boundary-value problem / $rGavrilyuk, Ivan / Kutniv, Myroslav / Makarov, Volodymyr -- $tExact difference schemes for stochastic differential equations / $rJerez, Silvia / Díaz-Infante, Saúl -- $tNumerical blow-up time / $rKozera, Ryszard / Paradzinska, Agnieszka / Schadinskii, Denis -- $tList of contributors
330   $aExact Finite-Difference Schemes is a first overview of the topic also describing the state-of-the-art in this field of numerical analysis. Construction of exact difference schemes for various parabolic and elliptic partial differential equations are discussed, including vibrations and transport problems. After this, applications are discussed, such as the discretisation of ODEs and PDEs and numerical methods for stochastic differential equations. Contents:Basic notationPreliminary resultsHyperbolic equationsParabolic equationsUse of exact difference schemes to construct NSFD discretizations of differential equationsExact and truncated difference schemes for boundary-value problemExact difference schemes for stochastic differential equationsNumerical blow-up timeBibliography 
606   $aFinite differences
606   $aDifferential-difference equations
606   $aDifferential equations
606   $aNumerical analysis
615  0$aFinite differences.
615  0$aDifferential-difference equations.
615  0$aDifferential equations.
615  0$aNumerical analysis.
676   $a515/.62
702   $aLemeshevsky$b S.
702   $aMatus$b P. P$g(Petr Pavlovich),
702   $aPolyakov$b Dmitrii$g(Dmitrii Borisovich),
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910798604503321
996   $aExact finite-difference schemes$93675260
997   $aUNINA