LEADER 04011nam 22006975 450 001 9910303454203321 005 20200706134543.0 010 $a3-030-02233-1 024 7 $a10.1007/978-3-030-02233-4 035 $a(CKB)4100000007204801 035 $a(DE-He213)978-3-030-02233-4 035 $a(MiAaPQ)EBC6213664 035 $a(PPN)232966907 035 $a(EXLCZ)994100000007204801 100 $a20181208d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeneralized Locally Toeplitz Sequences: Theory and Applications $eVolume II /$fby Carlo Garoni, Stefano Serra-Capizzano 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XI, 194 p. 1 illus.) 311 $a3-030-02232-3 320 $aIncludes bibliographical references and index. 327 $a1 Notes to the Reader -- 2 Mathematical Background -- 3 Multilevel Toeplitz Sequences -- 4 Multilevel Locally Toeplitz Sequences -- 5 Multilevel Generalized Locally Toeplitz Sequences -- 6 Summary of the Theory -- 7 Applications -- 8 Future Developments. 330 $aBased on the authors? research experience, this two-volume reference textbook focuses on the theory of generalized locally Toeplitz sequences and its applications. The first volume discusses the univariate version of the theory and the related applications in the unidimensional setting, while this second volume, which addresses the multivariate case, is mainly devoted to concrete PDE applications. This book systematically develops the multivariate version of the theory of generalized locally Toeplitz (GLT) sequences and presents some of its main applications to the numerical discretization of partial differential equations (PDEs). Written for applied mathematicians, engineers, physicists, and scientists who (perhaps unknowingly) encounter GLT sequences in their research, it is also of interest to those working in the fields of Fourier and functional analysis, spectral analysis of PDE discretization matrices, matrix analysis, numerical analysis, linear and multilinear algebra. Further, it can be used as a textbook for graduate or advanced undergraduate courses in numerical analysis. 606 $aNumerical analysis 606 $aMatrix theory 606 $aAlgebra 606 $aPartial differential equations 606 $aOperator theory 606 $aMeasure theory 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 606 $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120 615 0$aNumerical analysis. 615 0$aMatrix theory. 615 0$aAlgebra. 615 0$aPartial differential equations. 615 0$aOperator theory. 615 0$aMeasure theory. 615 14$aNumerical Analysis. 615 24$aLinear and Multilinear Algebras, Matrix Theory. 615 24$aPartial Differential Equations. 615 24$aOperator Theory. 615 24$aMeasure and Integration. 676 $a512.9434 676 $a512.9434 700 $aGaroni$b Carlo$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767334 702 $aSerra-Capizzano$b Stefano$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910303454203321 996 $aGeneralized Locally Toeplitz Sequences: Theory and Applications$91935692 997 $aUNINA