Search Results - "Tang, Zhuochao"

Localized collocation schemes and their applications by Fu, Zhuojia, Tang, Zhuochao, Xi, Qiang, Liu, Qingguo, Gu, Yan, Wang, Fajie

“…This paper presents a summary of various localized collocation schemes and their engineering applications. The basic concepts of localized collocation methods…”
Get full text

An O(N) algorithm for computing expectation of N-dimensional truncated multi-variate normal distribution II: computing moments and sparse grid acceleration by Zheng, Chaowen, Tang, Zhuochao, Huang, Jingfang, Wu, Yichao

“…In a previous paper (Huang et al., Advances in Computational Mathematics 47(5):1–34, 2021), we presented the fundamentals of a new hierarchical algorithm for…”
Get full text

An Extrinsic Approach Based on Physics-Informed Neural Networks for PDEs on Surfaces by Tang, Zhuochao, Fu, Zhuojia, Reutskiy, Sergiy

“…In this paper, we propose an extrinsic approach based on physics-informed neural networks (PINNs) for solving the partial differential equations (PDEs) on…”
Get full text

An efficient collocation method for long-time simulation of heat and mass transport on evolving surfaces by Tang, Zhuochao, Fu, Zhuojia, Chen, Meng, Huang, Jingfang

“…•Combined method of GFDM and KDC for the direct simulation of heat and mass transport on evolving surface.•Ability to deal with both continuous-form and…”
Get full text

A localized extrinsic collocation method for Turing pattern formations on surfaces by Tang, Zhuochao, Fu, Zhuojia, Chen, Meng, Ling, Leevan

“…In this paper, we give our first attempt to implement a localized collocation method, namely Generalized Finite Difference Method (GFDM), for the Turing…”
Get full text

A meshless collocation method for solving the inverse Cauchy problem associated with the variable-order fractional heat conduction model under functionally graded materials by Hu, Wen, Fu, Zhuojia, Tang, Zhuochao, Gu, Yan

“…A localized meshless collocation method, namely the generalized finite difference method (GFDM), is introduced to cope with the inverse Cauchy problem…”
Get full text

Generalized finite difference method for anomalous diffusion on surfaces by Tang, Zhuochao, Fu, Zhuojia

“…In this study, a localized collocation method called generalized finite difference method (GFDM) is developed to solve the anomalous diffusion problems on…”
Get full text

A fractional derivative model for nuclides transport in heterogeneous fractured media by Wang, Zhaoyang, Sun, HongGuang, Tang, Zhuochao, Li, Bozhao, Qian, Jiazhong, Zhang, Chuanzeng

“…Nuclide transport in fractured media involves the advection, dispersion, adsorption, etc. The dispersion and adsorption properties of the rock matrix have…”
Get full text

Quadrature by two expansions: Evaluating Laplace layer potentials using complex polynomial and plane wave expansions by Ding, Lingyun, Huang, Jingfang, Marzuola, Jeremy L., Tang, Zhuochao

“…The recently developed quadrature by expansion (QBX) technique [24] accurately evaluates the layer potentials with singular, weakly or nearly singular, or even…”
Get full text

Physics-informed Neural Networks for Elliptic Partial Differential Equations on 3D Manifolds by Tang, Zhuochao, Fu, Zhuojia

“…Motivated by recent research on Physics-Informed Neural Networks (PINNs), we make the first attempt to introduce the PINNs for numerical simulation of the…”
Get full text