Volume 2, Issue 1
A New Multiple Sub-Domain RS-HDMR Method and its Application to Tropospheric Alkane
Photochemist

C. Wen & T.-Z. Huang

Int. J. Numer. Anal. Mod. B, 2 (2011), pp. 73-90

Published online: 2011-02

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  • 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.
  • AMS Subject Headings

41A63 65D99 68W25

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COPYRIGHT: © Global Science Press

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@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
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} }
TY - JOUR T1 - A New Multiple Sub-Domain RS-HDMR Method and its Application to Tropospheric Alkane
Photochemist AU - C. Wen & T.-Z. Huang JO - International Journal of Numerical Analysis Modeling Series B VL - 1 SP - 73 EP - 90 PY - 2011 DA - 2011/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/300.html KW - RS-HDMR KW - Multiple sub-domains KW - Weight functions KW - Random sequence AB - 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.
C. Wen & T.-Z. Huang. (1970). A New Multiple Sub-Domain RS-HDMR Method and its Application to Tropospheric Alkane
Photochemist. International Journal of Numerical Analysis Modeling Series B. 2 (1). 73-90. doi:
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