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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.
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610   $aMathematics
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702   $aKritzer$b Peter
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