Title: Tent-transformed lattice rules for integration and approximation of multivariate non-periodic functions
Authors: Cools, Ronald * # ×
Kuo, Frances Y. * #
Nuyens, Dirk * #
Suryanarayana, Gowri * #
Issue Date: 2016
Publisher: Elsevier
Series Title: Journal of Complexity vol:36 pages:166-181
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-1 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.
ISSN: 0885-064X
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
* (joint) first author
× corresponding author
# (joint) last author

Files in This Item:
File Description Status SizeFormat
cosine_space.pdf Accepted 405KbAdobe PDFView/Open Request a copy

These files are only available to some KU Leuven Association staff members


All items in Lirias are protected by copyright, with all rights reserved.

© Web of science