LEADER 03015nam 2200601 450 001 9910146306703321 005 20220506074415.0 010 $a3-540-49804-4 024 7 $a10.1007/BFb0096351 035 $a(CKB)1000000000437315 035 $a(SSID)ssj0000320853 035 $a(PQKBManifestationID)12087864 035 $a(PQKBTitleCode)TC0000320853 035 $a(PQKBWorkID)10259298 035 $a(PQKB)10707255 035 $a(DE-He213)978-3-540-49804-9 035 $a(MiAaPQ)EBC5586041 035 $a(MiAaPQ)EBC6707398 035 $a(Au-PeEL)EBL5586041 035 $a(OCoLC)1066194216 035 $a(Au-PeEL)EBL6707398 035 $a(PPN)155231790 035 $a(EXLCZ)991000000000437315 100 $a20220506d1998 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aAdvanced numerical approximation of nonlinear hyperbolic equations $electures given at the 2nd session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 23-28, 1997 /$fB. Cockburn [and three others] ; editor, Alfio Quarteroni 205 $a1st ed. 1998. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[1998] 210 4$d??1998 215 $a1 online resource (VI, 454 p.) 225 1 $aLecture notes in mathematics ;$v1697 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-64977-8 327 $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. 330 $aThis volume contains the texts of the four series of lectures presented by B.Cockburn, C.Johnson, C.W. Shu and E.Tadmor at a C.I.M.E. Summer School. It is aimed at providing a comprehensive and up-to-date presentation of numerical methods which are nowadays used to solve nonlinear partial differential equations of hyperbolic type, developing shock discontinuities. The most effective methodologies in the framework of finite elements, finite differences, finite volumes spectral methods and kinetic methods, are addressed, in particular high-order shock capturing techniques, discontinuous Galerkin methods, adaptive techniques based upon a-posteriori error analysis. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1697. 606 $aDifferential equations, Partial 615 0$aDifferential equations, Partial. 676 $a515.353 700 $aCockburn$b B$g(Bernardo),$030385 702 $aQuarteroni$b Alfio 712 02$aCentro internazionale matematico estivo. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146306703321 996 $aAdvanced numerical approximation of nonlinear hyperbolic equations$9262431 997 $aUNINA