LEADER 00838nam0-22002891i-450- 001 990007993640403321 005 20050127150332.0 035 $a000799364 035 $aFED01000799364 035 $a(Aleph)000799364FED01 035 $a000799364 100 $a20050127d1960----km-y0itay50------ba 101 0 $aeng 102 $aHK 105 $ay---n---001yy 200 1 $a<>Chinese in the United States of America$fby Rose Hum Lee 210 $aHong Kong$cHong Kong University Press$d1960 215 $aX, 465 p., [2] c. di tav.$cill$d22 cm 676 $a327.73051$v19$zita 700 1$aLee,$bRose Hum$0308565 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990007993640403321 952 $aXV N 319$b64775$fFGBC 959 $aFGBC 996 $aChinese in the United States of America$9750181 997 $aUNINA LEADER 03999nam 22007215 450 001 9910300250803321 005 20220329225741.0 010 $a3-319-24785-9 024 7 $a10.1007/978-3-319-24785-4 035 $a(CKB)3710000000494345 035 $a(EBL)4068157 035 $a(SSID)ssj0001585090 035 $a(PQKBManifestationID)16265552 035 $a(PQKBTitleCode)TC0001585090 035 $a(PQKBWorkID)14865046 035 $a(PQKB)10505783 035 $a(DE-He213)978-3-319-24785-4 035 $a(MiAaPQ)EBC4068157 035 $a(PPN)190523468 035 $a(EXLCZ)993710000000494345 100 $a20151023d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aError estimates for well-balanced schemes on simple balance laws $eone-dimensional position-dependent models /$fby Debora Amadori, Laurent Gosse 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (119 p.) 225 1 $aSpringerBriefs in Mathematics,$x2191-8198 300 $aDescription based upon print version of record. 311 $a3-319-24784-0 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $a1 Introduction -- 2 Local and global error estimates -- 3 Position-dependent scalar balance laws -- 4 Lyapunov functional for inertial approximations -- 5 Entropy dissipation and comparison with Lyapunov estimates -- 6 Conclusion and outlook. 330 $aThis monograph presents, in an attractive and self-contained form, techniques based on the L1 stability theory derived at the end of the 1990s by A. Bressan, T.-P. Liu and T. Yang that yield original error estimates for so-called well-balanced numerical schemes solving 1D hyperbolic systems of balance laws. Rigorous error estimates are presented for both scalar balance laws and a position-dependent relaxation system, in inertial approximation. Such estimates shed light on why those algorithms based on source terms handled like "local scatterers" can outperform other, more standard, numerical schemes. Two-dimensional Riemann problems for the linear wave equation are also solved, with discussion of the issues raised relating to the treatment of 2D balance laws. All of the material provided in this book is highly relevant for the understanding of well-balanced schemes and will contribute to future improvements. 410 0$aSpringerBriefs in Mathematics,$x2191-8198 606 $aDifferential equations, Partial 606 $aNumerical analysis 606 $aMathematical physics 606 $aPhysics 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 615 0$aDifferential equations, Partial. 615 0$aNumerical analysis. 615 0$aMathematical physics. 615 0$aPhysics. 615 14$aPartial Differential Equations. 615 24$aNumerical Analysis. 615 24$aMathematical Applications in the Physical Sciences. 615 24$aNumerical and Computational Physics, Simulation. 676 $a515.3535 700 $aAmadori$b Debora$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755676 702 $aGosse$b Laurent$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300250803321 996 $aError Estimates for Well-Balanced Schemes on Simple Balance Laws$92545888 997 $aUNINA