@Article{IJNAMB-2-73,
author = {C. Wen and T.-Z. Huang},
title = {A New Multiple Sub-Domain RS-HDMR Method and its Application to Tropospheric Alkane<br> Photochemist},
journal = {International Journal of Numerical Analysis Modeling Series B},
year = {2011},
volume = {2},
number = {1},
pages = {73--90},
abstract = {The high dimensional model representation (HDMR) method was recently proposed as an efficient tool to capture the input-output relationships in high-dimensional systems for many
problems in science and engineering. In this paper, we develop a new multiple sub-domain random
sampling HDMR method (MSD-RS-HDMR) for general high dimensional input-output systems.
The domain splitting technique is applied to divide the whole domain into multiple sub-domains.
The RS-HDMR method is used to generate local approximations in sub-domains and a set of
weight functions is introduced to obtain approximations near the sub-domain interfaces. Numerical
experiments are carried out using the MSD-RS-HDMR method for given high dimensional
functions and a real application of the Tropospheric Alkane Photochemistry model. The new
method has been demonstrated to be very effective, and numerical results confirm the excellent
performance of the method compared to the RS-HDMR and Cut-HMDR methods.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnamb/300.html}
}