LEADER 03986nam 22007215 450 001 9910279756503321 005 20200629131918.0 010 $a3-319-67110-3 024 7 $a10.1007/978-3-319-67110-9 035 $a(CKB)4100000002892032 035 $a(MiAaPQ)EBC5358059 035 $a(DE-He213)978-3-319-67110-9 035 $a(PPN)225550377 035 $a(EXLCZ)994100000002892032 100 $a20180320d2017 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aUncertainty Quantification for Hyperbolic and Kinetic Equations /$fedited by Shi Jin, Lorenzo Pareschi 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (282 pages) $cillustrations 225 1 $aSEMA SIMAI Springer Series,$x2199-3041 ;$v14 311 $a3-319-67109-X 327 $a1 The Stochastic Finite Volume Method -- 2 Uncertainty Modeling and Propagation in Linear Kinetic Equations -- 3 Numerical Methods for High-Dimensional Kinetic Equations -- 4 From Uncertainty Propagation in Transport Equations to Kinetic Polynomials -- 5 Uncertainty Quantification for Kinetic Models in Socio-Economic and Life Sciences -- 6 Uncertainty Quantification for Kinetic Equations -- 7 Monte-Carlo Finite-Volume Methods in Uncertainty Quantification for Hyperbolic Conservation Laws. 330 $aThis book explores recent advances in uncertainty quantification for hyperbolic, kinetic, and related problems. The contributions address a range of different aspects, including: polynomial chaos expansions, perturbation methods, multi-level Monte Carlo methods, importance sampling, and moment methods. The interest in these topics is rapidly growing, as their applications have now expanded to many areas in engineering, physics, biology and the social sciences. Accordingly, the book provides the scientific community with a topical overview of the latest research efforts. 410 0$aSEMA SIMAI Springer Series,$x2199-3041 ;$v14 606 $aPartial differential equations 606 $aComputer mathematics 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aPhysics 606 $aMathematics 606 $aSocial sciences 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 606 $aMathematics in the Humanities and Social Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M32000 615 0$aPartial differential equations. 615 0$aComputer mathematics. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aPhysics. 615 0$aMathematics. 615 0$aSocial sciences. 615 14$aPartial Differential Equations. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aMathematical and Computational Engineering. 615 24$aNumerical and Computational Physics, Simulation. 615 24$aMathematics in the Humanities and Social Sciences. 676 $a515.353 702 $aJin$b Shi$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aPareschi$b Lorenzo$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910279756503321 996 $aUncertainty Quantification for Hyperbolic and Kinetic Equations$91563113 997 $aUNINA