LEADER 03216nam 2200769Ia 450 001 9910807366703321 005 20240418100330.0 010 $a1-283-39678-5 010 $a9786613396785 010 $a3-11-020304-9 024 7 $a10.1515/9783110203042 035 $a(CKB)1000000000692164 035 $a(EBL)370771 035 $a(OCoLC)301965291 035 $a(SSID)ssj0000341657 035 $a(PQKBManifestationID)11233752 035 $a(PQKBTitleCode)TC0000341657 035 $a(PQKBWorkID)10395527 035 $a(PQKB)11088281 035 $a(MiAaPQ)EBC370771 035 $a(DE-B1597)33379 035 $a(OCoLC)1024050123 035 $a(OCoLC)1032691589 035 $a(OCoLC)1037981187 035 $a(OCoLC)1042029973 035 $a(OCoLC)1046617312 035 $a(OCoLC)1047003308 035 $a(OCoLC)1049625271 035 $a(OCoLC)1054881591 035 $a(OCoLC)979583290 035 $a(DE-B1597)9783110203042 035 $a(Au-PeEL)EBL370771 035 $a(CaPaEBR)ebr10256560 035 $a(CaONFJC)MIL339678 035 $a(EXLCZ)991000000000692164 100 $a20080222d2008 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA posteriori estimates for partial differential equations /$fSergey Repin 205 $a1st ed. 210 $aBerlin ;$aNew York $cWalter de Gruyter$dc2008 215 $a1 online resource (328 p.) 225 1 $aRadon series on computational and applied mathematics,$x1865-3707 ;$v4 300 $aDescription based upon print version of record. 311 $a3-11-019153-9 320 $aIncludes bibliographical references (p. [291]-311) and index. 327 $t Frontmatter -- $tContents -- $tPreface -- $t1. Introduction -- $t2. Overview -- $t3. Poisson's equation -- $t4. Linear elliptic problems -- $t5. Elasticity -- $t6. Incompressible viscous fluids -- $t7. Generalizations -- $t8. Nonlinear problems -- $t9. A posteriori estimates for other problems -- $t Backmatter 330 $aThis book deals with the reliable verification of the accuracy of approximate solutions which is one of the central problems in modern applied analysis.After giving an overview of the methods developed for models based on partial differential equations, the author derives computable a posteriori error estimates by using methods of the theory of partial differential equations and functional analysis. These estimates are applicable to approximate solutions computed by various methods. 410 0$aRadon series on computational and applied mathematics ;$v4. 606 $aDifferential equations, Partial 606 $aError analysis (Mathematics) 610 $aPartial Differential Equation, Approximate Solution, A Posteriori Error Estimates. 615 0$aDifferential equations, Partial. 615 0$aError analysis (Mathematics) 676 $a515/.353 686 $aSK 500$2rvk 700 $aRepin$b Sergey I$0497137 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910807366703321 996 $aA posteriori estimates for partial differential equations$93977694 997 $aUNINA