Josef Dick,
Peter Kritzer,
Friedrich Pillichshammer
Lattice Rules
Numerical Integration, Approximation, and Discrepancy
Gebonden Engels 2022 9783031099502Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783031099502
Taal:Engels
Bindwijze:gebonden
Uitgever:Springer International Publishing
Lezersrecensies
Wees de eerste die een lezersrecensie schrijft!
Inhoudsopgave
Introduction.- Integration of Smooth Periodic Functions.- Constructions of Lattice Rules.- Modified Construction Schemes.- Discrepancy of Lattice Point Sets.- Extensible Lattice Point Sets.- Lattice Rules for Nonperiodic Integrands.- Intrgration with Respect to Probability Measures.- Integration of Analytic Functions.- Korobov's p-Sets.- Lattice Rules in the Randomized Setting.- Stability of Lattice Rules.- L2-Approximation Using Lattice Rules.- L∞-Approximation Using Lattice Rules.- Multiple Rank-1 Lattice Point Sets.- Fast QMC Matrix-Vector Multiplication.- Partial Diffeential Equations With Random Coefficients.- Numerical Experiments for Lattice Rule Construction Algorithms.- References.- Index.<div><br></div>
Rubrieken
- advisering
- algemeen management
- coaching en trainen
- communicatie en media
- economie
- financieel management
- inkoop en logistiek
- internet en social media
- it-management / ict
- juridisch
- leiderschap
- marketing
- mens en maatschappij
- non-profit
- ondernemen
- organisatiekunde
- personal finance
- personeelsmanagement
- persoonlijke effectiviteit
- projectmanagement
- psychologie
- reclame en verkoop
- strategisch management
- verandermanagement
- werk en loopbaan