Higher-order spectral representation method: New algorithmic framework for simulating multi-dimensional non-Gaussian random physical fields
This study derives a novel higher-order spectral representation method (HOSRM) to
represent and simulate multi-dimensional fourth-order non-Gaussian random physical fields …
represent and simulate multi-dimensional fourth-order non-Gaussian random physical fields …
Research on the Karhunen–Loève transform method and its application to hull form optimization
H Chang, C Wang, Z Liu, B Feng, C Zhan… - Journal of Marine …, 2023 - mdpi.com
Hull form optimization becomes prone to the curse of dimensionality as the number of
design variables increases. The traditional sensitivity analysis method requires massive …
design variables increases. The traditional sensitivity analysis method requires massive …
A novel technique based on Bernoulli wavelets for numerical solutions of two-dimensional Fredholm integral equation of second kind
Purpose A novel technique based on Bernoulli wavelets has been proposed to solve two-
dimensional Fredholm integral equation of second kind. Bernoulli wavelets have been …
dimensional Fredholm integral equation of second kind. Bernoulli wavelets have been …
Tensor train-Karhunen-Loève expansion: New theoretical and algorithmic frameworks for representing general non-Gaussian random fields
LZ Bu, W Zhao, W Wang - Computer Methods in Applied Mechanics and …, 2020 - Elsevier
The goals of this work are two-fold: firstly, to propose a new theoretical framework for
representing random fields on a large class of multidimensional physical domain in the …
representing random fields on a large class of multidimensional physical domain in the …
Tensor train-Karhunen-Lo\eve expansion for continuous-indexed random fields using higher-order cumulant functions
LZ Bu, W Zhao, W Wang - arxiv preprint arxiv:1907.06304, 2019 - arxiv.org
The goals of this work are two-fold: firstly, to propose a new theoretical framework for
representing random fields on a large class of multidimensional geometrical domain in the …
representing random fields on a large class of multidimensional geometrical domain in the …