02249nam 2200529 450 99648315420331620240221123425.03-031-09951-6(MiAaPQ)EBC7048983(Au-PeEL)EBL7048983(CKB)24279822400041(OCoLC)1337198821(BIP)084362445(PPN)263897664(EXLCZ)992427982240004120230105d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierLattice rules numerical integration, approximation, and discrepancy /Josef Dick, Peter Kritzer and Friedrich PillichshammerCham, Switzerland :Springer Nature Switzerland AG,[2022]©20221 online resource (584 pages)Springer series in computational mathematics ;Volume 58Print version: Dick, Josef Lattice Rules Cham : Springer International Publishing AG,c2022 9783031099502 Includes bibliographical references and index.Lattice 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.Springer series in computational mathematics ;Volume 58.Lattice theoryTeoria dels reticlesthubLlibres electrònicsthubMathematicsLattice theory.Teoria dels reticles511.33Dick Josef1252149Kritzer PeterPillichshammer FriedrichMiAaPQMiAaPQMiAaPQBOOK996483154203316Lattice rules3580482UNISA