On Korobov Lattice Rules in Weighted Spaces
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[1] Frances Y. Kuo,et al. Reducing the construction cost of the component-by-component construction of good lattice rules , 2004, Math. Comput..
[2] Harald Niederreiter,et al. Random number generation and Quasi-Monte Carlo methods , 1992, CBMS-NSF regional conference series in applied mathematics.
[3] Fred J. Hickernell,et al. A Comparison of Random and Quasirandom Points for Multidimensional Quadrature , 1995 .
[4] Xiaoqun Wang,et al. Strong tractability of multivariate integration using quasi-Monte Carlo algorithms , 2003, Math. Comput..
[5] Henryk Wozniakowski,et al. Liberating the weights , 2004, J. Complex..
[6] A. Owen. THE DIMENSION DISTRIBUTION AND QUADRATURE TEST FUNCTIONS , 2003 .
[7] Kai-Tai Fang,et al. The effective dimension and quasi-Monte Carlo integration , 2003, J. Complex..
[8] R. Cranley,et al. Randomization of Number Theoretic Methods for Multiple Integration , 1976 .
[9] I. F. Sharygin,et al. A lower estimate for the error of quadrature formulae for certain classes of functions , 1963 .
[10] Frances Y. Kuo,et al. On the step-by-step construction of quasi-Monte Carlo integration rules that achieve strong tractability error bounds in weighted Sobolev spaces , 2002, Math. Comput..
[11] Henryk Wozniakowski,et al. Tractability of Integration in Non-periodic and Periodic Weighted Tensor Product Hilbert Spaces , 2002, J. Complex..
[12] Fred J. Hickernell,et al. The error bounds and tractability of quasi-Monte Carlo algorithms in infinite dimension , 2002, Math. Comput..
[13] Fred J. Hickernell,et al. The existence of good extensible rank-1 lattices , 2003, J. Complex..
[14] F. J. Hickernell. Lattice rules: how well do they measure up? in random and quasi-random point sets , 1998 .
[15] Fred J. Hickernell,et al. A generalized discrepancy and quadrature error bound , 1998, Math. Comput..
[16] I. Sloan. Lattice Methods for Multiple Integration , 1994 .
[17] I. Meleshko. Approximate evaluation of Cauchy type repeated integrals and their principal values , 1979 .
[18] Frances Y. Kuo,et al. Component-by-component constructions achieve the optimal rate of convergence for multivariate integration in weighted Korobov and Sobolev spaces , 2003, J. Complex..
[19] Joseph F. Traub,et al. Faster Valuation of Financial Derivatives , 1995 .
[20] D. Hunter. Valuation of mortgage-backed securities using Brownian bridges to reduce effective dimension , 2000 .
[21] Henryk Wozniakowski,et al. Tractability of Multivariate Integration for Weighted Korobov Classes , 2001, J. Complex..
[22] Fred J. Hickernell,et al. Integration and approximation in arbitrary dimensions , 2000, Adv. Comput. Math..
[23] I. H. SLOAN,et al. Constructing Randomly Shifted Lattice Rules in Weighted Sobolev Spaces , 2002, SIAM J. Numer. Anal..
[24] E. Wright,et al. An Introduction to Number Theory , 1960 .
[25] Henryk Wozniakowski,et al. When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals? , 1998, J. Complex..