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020 _a9783540498049
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024 7 _a10.1007/BFb0096351
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
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072 7 _aPBKJ
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082 0 4 _a515.353
_223
100 1 _aCockburn, Bernardo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aAdvanced Numerical Approximation of Nonlinear Hyperbolic Equations
_h[electronic resource] :
_bLectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 23–28, 1997 /
_cby Bernardo Cockburn, Chi-Wang Shu, Claes Johnson, Eitan Tadmor ; edited by Alfio Quarteroni.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1998.
300 _aVI, 454 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aC.I.M.E. Foundation Subseries ;
_v1697
505 0 _aApproximate solutions of nonlinear conservation laws -- An introduction to the Discontinuous Galerkin method for convection-dominated problems -- Adaptive finite element methods for conservation laws -- Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws.
520 _aThis volume contains the texts of the four series of lectures presented by B.Cockburn, C.Johnson, C.W. Shu and E.Tadmor at a C.I.M.E. Summer School. It is aimed at providing a comprehensive and up-to-date presentation of numerical methods which are nowadays used to solve nonlinear partial differential equations of hyperbolic type, developing shock discontinuities. The most effective methodologies in the framework of finite elements, finite differences, finite volumes spectral methods and kinetic methods, are addressed, in particular high-order shock capturing techniques, discontinuous Galerkin methods, adaptive techniques based upon a-posteriori error analysis.
650 0 _aDifferential equations, partial.
650 0 _aNumerical analysis.
650 0 _aThermodynamics.
650 0 _aEngineering.
650 1 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aNumerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M14050
650 2 4 _aThermodynamics.
_0http://scigraph.springernature.com/things/product-market-codes/P21050
650 2 4 _aComputational Intelligence.
_0http://scigraph.springernature.com/things/product-market-codes/T11014
700 1 _aShu, Chi-Wang.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aJohnson, Claes.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aTadmor, Eitan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aQuarteroni, Alfio.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662164082
776 0 8 _iPrinted edition:
_z9783540649779
830 0 _aC.I.M.E. Foundation Subseries ;
_v1697
856 4 0 _uhttps://doi.org/10.1007/BFb0096351
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c11262
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