LEADER 01516nam--2200469---450- 001 990000694730203316 005 20091210145712.0 035 $a0069473 035 $aUSA010069473 035 $a(ALEPH)000069473USA01 035 $a0069473 100 $a20011017d1980----km-y0itay0103----ba 101 $aita 102 $aIT 105 $a||||||||001yy 200 1 $aElementi di economia politica$fArnold Heertje$g[traduzione di Guja Bachilega$gedizione italiana a cura di Maria Luisa Segnana] 210 $aBologna$cIl mulino$dc1980 215 $a308 p.$d22 cm 225 2 $aLa nuova scienza$iSerie di economia 312 $aDer Kern van de Economie 410 $12001$aLa nuova scienza$iSerie di economia 454 $12001$aDer Kern van de Economie$936883 606 0 $aItalia$xPolitica economica$xStudi 676 $a338945 700 1$aHEERTJE,$bArnold$074885 801 0$aIT$bsalbc$gISBD 912 $a990000694730203316 951 $aXXX.B. Coll. 52/ 50(COLL. AW 46)$b69416$cXXX.B. Coll. 52/(COLL. AW)$d00261574 951 $a300 330.1 HEE$b13743 DISES 959 $aBK 969 $aECO 969 $aDISES 979 $aPATTY$b90$c20011017$lUSA01$h2110 979 $c20020403$lUSA01$h1718 979 $aPATRY$b90$c20040406$lUSA01$h1648 979 $aRSIAV1$b90$c20091210$lUSA01$h1457 979 $c20121027$lUSA01$h1544 979 $c20121027$lUSA01$h1603 979 $c20121027$lUSA01$h1610 996 $aDer Kern van de Economie$936883 997 $aUNISA DEB $aUSA19884 LEADER 03997nam 22004695 450 001 9910300123603321 005 20200704230622.0 010 $a981-10-9004-1 024 7 $a10.1007/978-981-10-9004-2 035 $a(CKB)4100000003359795 035 $a(MiAaPQ)EBC5356807 035 $a(DE-He213)978-981-10-9004-2 035 $a(PPN)226695085 035 $a(EXLCZ)994100000003359795 100 $a20180419d2018 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aRecent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations /$fby Xinyuan Wu, Bin Wang 205 $a1st ed. 2018. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2018. 215 $a1 online resource (356 pages) 311 $a981-10-9003-3 327 $aFunctionally ?tted continuous ?nite element methods for oscillatory Hamiltonian system -- Exponential average-vector-?eld integrator for conservative or dissipative systems -- Exponential Fourier collocation methods for ?rst-order differential Equations -- Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems -- High-order symplectic and symmetric composition integrators for multi-frequency oscillatory Hamiltonian systems -- The construction of arbitrary order ERKN integrators via group theory -- Trigonometric collocation methods for multi-frequency and multidimensional oscillatory systems -- A compact tri-colored tree theory for general ERKN methods -- An integral formula adapted to different boundary conditions for arbitrarily high-dimensional nonlinear Klein-Gordon equations -- An energy-preserving and symmetric scheme for nonlinear Hamiltonian wave equations -- Arbitrarily high-order time-stepping schemes for nonlinear Klein?Gordon equations -- An essential extension of the ?nite-energy condition for ERKN integrators solving nonlinear wave equations -- Index. 330 $aThe main theme of this book is recent progress in structure-preserving algorithms for solving initial value problems of oscillatory differential equations arising in a variety of research areas, such as astronomy, theoretical physics, electronics, quantum mechanics and engineering. It systematically describes the latest advances in the development of structure-preserving integrators for oscillatory differential equations, such as structure-preserving exponential integrators, functionally fitted energy-preserving integrators, exponential Fourier collocation methods, trigonometric collocation methods, and symmetric and arbitrarily high-order time-stepping methods. Most of the material presented here is drawn from the recent literature. Theoretical analysis of the newly developed schemes shows their advantages in the context of structure preservation. All the new methods introduced in this book are proven to be highly effective compared with the well-known codes in the scientific literature. This book also addresses challenging problems at the forefront of modern numerical analysis and presents a wide range of modern tools and techniques. 606 $aAlgorithms 606 $aComputational complexity 606 $aMathematics of Algorithmic Complexity$3https://scigraph.springernature.com/ontologies/product-market-codes/M13130 606 $aComplexity$3https://scigraph.springernature.com/ontologies/product-market-codes/T11022 615 0$aAlgorithms. 615 0$aComputational complexity. 615 14$aMathematics of Algorithmic Complexity. 615 24$aComplexity. 676 $a515.35 700 $aWu$b Xinyuan$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767990 702 $aWang$b Bin$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910300123603321 996 $aRecent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations$91963847 997 $aUNINA LEADER 01735nas 2200529-a 450 001 9910144489703321 005 20240401213017.0 011 $a1982-3533 035 $a(CKB)991042731608220 035 $a(CONSER)---93648605- 035 $a(MiAaPQ)2046178 035 $a(DE-599)ZDB2401827-2 035 $a(EXLCZ)99991042731608220 100 $a19930924b19922014 --- - 101 0 $apor 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aEconomia e sociedade $erevista do Instituto de Economia da UNICAMP 210 $aCampinas, S.P. $cO Instituto$d1992- 215 $a1 online resource 300 $aTitle from cover. 300 $aRefereed/Peer-reviewed 311 08$a0104-0618 606 $aEconomics$xSociological aspects$vPeriodicals 606 $aEconomics$vPeriodicals 606 $aEconomic history$2fast$3(OCoLC)fst00901974 606 $aEconomics$2fast$3(OCoLC)fst00902116 606 $aEconomics$xSociological aspects$2fast$3(OCoLC)fst00902213 606 $aWirtschaftswissenschaft$2stw 607 $aBrazil$xEconomic conditions$vPeriodicals 607 $aBrazil$2fast$1https://id.oclc.org/worldcat/entity/E39QbtfRB9KGtqfkFTFbfB77QY 608 $aPeriodicals.$2fast 608 $aPeriodicals.$2lcgft 615 0$aEconomics$xSociological aspects 615 0$aEconomics 615 7$aEconomic history. 615 7$aEconomics. 615 7$aEconomics$xSociological aspects. 615 7$aWirtschaftswissenschaft. 676 $a306.3/05 712 02$aInstituto de Economia da UNICAMP. 906 $aJOURNAL 912 $a9910144489703321 920 $aexl_impl conversion 996 $aEconomia e sociedade$92012452 997 $aUNINA