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010   $a3-319-22470-0
024 7 $a10.1007/978-3-319-22470-1
035   $a(CKB)3710000000466525
035   $a(EBL)4178489
035   $a(SSID)ssj0001546669
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035   $a(PQKBTitleCode)TC0001546669
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035   $a(PQKB)11154932
035   $a(DE-He213)978-3-319-22470-1
035   $a(MiAaPQ)EBC4178489
035   $a(PPN)188458409
035   $a(EXLCZ)993710000000466525
100   $a20150820d2016      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aCertified reduced basis methods for parametrized partial differential equations /$fby Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016.
215   $a1 online resource (139 p.)
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
300   $aDescription based upon print version of record.
311   $a3-319-22469-7 
327   $a1 Introduction and Motivation -- 2 Parametrized Differential Equations -- 3 Reduced Basis Methods -- 4 Certified Error Control -- 5 The Empirical Interpolation Method -- 6 Beyond the Basics -- 7 Appendix A Mathematical Preliminaries.
330   $aThis book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods are discussed in detail for coercive problems. More advanced aspects associated with time-dependent problems, non-compliant and non-coercive problems and applications with geometric variation are also discussed as examples.
410  0$aSpringerBriefs in Mathematics,$x2191-8198
606   $aComputer mathematics
606   $aPartial differential equations
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aMathematical physics
606   $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006
606   $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005
606   $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003
615  0$aComputer mathematics.
615  0$aPartial differential equations.
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615  0$aMathematical physics.
615 14$aComputational Mathematics and Numerical Analysis.
615 24$aPartial Differential Equations.
615 24$aMathematical and Computational Engineering.
615 24$aTheoretical, Mathematical and Computational Physics.
615 24$aApplications of Mathematics.
676   $a515.353
700   $aHesthaven$b Jan S$4aut$4http://id.loc.gov/vocabulary/relators/aut$0503681
702   $aRozza$b Gianluigi$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aStamm$b Benjamin$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254079303321
996   $aCertified Reduced Basis Methods for Parametrized Partial Differential Equations$92129508
997   $aUNINA