LEADER 02249nam 2200529 450 001 996483154203316 005 20240221123425.0 010 $a3-031-09951-6 035 $a(MiAaPQ)EBC7048983 035 $a(Au-PeEL)EBL7048983 035 $a(CKB)24279822400041 035 $a(OCoLC)1337198821 035 $a(BIP)084362445 035 $a(PPN)263897664 035 $a(EXLCZ)9924279822400041 100 $a20230105d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aLattice rules $enumerical integration, approximation, and discrepancy /$fJosef Dick, Peter Kritzer and Friedrich Pillichshammer 210 1$aCham, Switzerland :$cSpringer Nature Switzerland AG,$d[2022] 210 4$d©2022 215 $a1 online resource (584 pages) 225 1 $aSpringer series in computational mathematics ;$vVolume 58 311 08$aPrint version: Dick, Josef Lattice Rules Cham : Springer International Publishing AG,c2022 9783031099502 320 $aIncludes bibliographical references and index. 330 8 $aLattice rules are a powerful and popular form of quasi-Monte Carlo rules based on multidimensional integration lattices. This book provides a comprehensive treatment of the subject with detailed explanations of the basic concepts and the current methods used in research. This comprises, for example, error analysis in reproducing kernel Hilbert spaces, fast component-by-component constructions, the curse of dimensionality and tractability, weighted integration and approximation problems, and applications of lattice rules. 410 0$aSpringer series in computational mathematics ;$vVolume 58. 606 $aLattice theory 606 $aTeoria dels reticles$2thub 608 $aLlibres electrònics$2thub 610 $aMathematics 615 0$aLattice theory. 615 7$aTeoria dels reticles 676 $a511.33 700 $aDick$b Josef$01252149 702 $aKritzer$b Peter 702 $aPillichshammer$b Friedrich 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996483154203316 996 $aLattice rules$93580482 997 $aUNISA