On Quasi-Monte Carlo Rules Achieving Higher Order Convergence
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Publisher
Springer Berlin Heidelberg
Link
http://link.springer.com/content/pdf/10.1007/978-3-642-04107-5_5.pdf
Reference22 articles.
1. J. Baldeaux and J. Dick, QMC rules of arbitrary high order: reproducing kernel Hilbert space approach. To appear in Constructive Approx., 2010.
2. L.L. Cristea, J. Dick, G. Leobacher and F. Pillichshammer, The tent transformation can improve the convergence rate of quasi-Monte Carlo algorithms using digital nets. Numer. Math., 105, 413–455, 2007.
3. J. Dick, Explicit constructions of quasi-Monte Carlo rules for the numerical integration of high-dimensional periodic functions, SIAM J. Numer. Anal., 45, 2141–2176, 2007.
4. J. Dick, Walsh spaces containing smooth functions and quasi-Monte Carlo rules of arbitrary high order, SIAM J. Numer. Anal., 46, 1519–1553, 2008.
5. J. Dick, The decay of the Walsh coefficients of smooth functions. To appear in Bull. Austral. Math. Soc., 2009.
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