Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4608526 | Journal of Complexity | 2016 | 16 Pages |
Abstract
We develop algorithms for multivariate integration and approximation in the weighted half-period cosine space of smooth non-periodic functions. We use specially constructed tent-transformed rank-11 lattice points as cubature nodes for integration and as sampling points for approximation. For both integration and approximation, we study the connection between the worst-case errors of our algorithms in the cosine space and the worst-case errors of some related algorithms in the well-known weighted Korobov space of smooth periodic functions. By exploiting this connection, we are able to obtain constructive worst-case error bounds with good convergence rates for the cosine space.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Gowri Suryanarayana,