Titlebook: Lattice Rules; Numerical Integratio Josef Dick,Peter Kritzer,Friedrich Pillichshammer Book 2022 The Editor(s) (if applicable) and The Autho

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Lattice Rules978-3-031-09951-9Series ISSN 0179-3632 Series E-ISSN 2198-3712

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Extensible Lattice Point Sets,However, the situation is different if we ask for an extension with respect to the number of points, .. Extending the number of points may be of practical relevance if one wants to improve the accuracy of approximation of an integral by increasing the number of integration nodes without having to discard previously computed function values.

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Integration with Respect to Probability Measures,In general, one can apply a transformation to obtain an integral over the unit cube. However, this changes the integrand, and often certain smoothness assumptions are not satisfied anymore by the transformed integrand. Using this approach one can obtain bounds on the integration error for a number of important choices of probability densities.

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