Weiqi WangConcordia University Montreal · Department of Mathematics and Statistics
Weiqi Wang
Doctor of Philosophy
About
8
Publications
353
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4
Citations
Citations since 2017
Introduction
• Applied mathematical problems in material science. Modeling physical processes with differential and integral equations.
• Numerical analysis
https://sites.google.com/view/weiqiwang/
Skills and Expertise
Additional affiliations
August 2016 - August 2021
Education
August 2016 - August 2021
Publications
Publications (8)
We consider the influence of elasticity and anisotropic surface energy on the energy-minimizing shape of a two-dimensional void under biaxial loading. In particular, we consider void shapes with corners for which the strain energy density is singular at the corner. The elasticity problem is formulated as a boundary integral equation using complex p...
High-dimensional Partial Differential Equations (PDEs) are a popular mathematical modelling tool, with applications ranging from finance to computational chemistry. However, standard numerical techniques for solving these PDEs are typically affected by the curse of dimensionality. In this work, we tackle this challenge while focusing on stationary...
Predicting the near-future delay with accuracy for trains is momentous for railway operations and passengers' traveling experience. This work aims to design prediction models for train delays based on Netherlands Railway data. We first develop a chi-square test to show that the delay evolution over stations follows a first-order Markov chain. We th...
We consider the influence of elasticity and anisotropic surface energy on the energy-minimizing shape of a two-dimensional void under biaxial loading. In particular, we consider void shapes with corners for which the strain energy density is singular at the corner. The elasticity problem is formulated as a boundary integral equation using complex p...
![Overlapping circles with α=π/3\documentclass[12pt]{minimal}...](publication/350041168/figure/fig3/AS:1001128078610433@1615698942200/Overlapping-circles-with-ap-3documentclass12ptminimal-usepackageamsmath_Q320.jpg)
![Overlapping circles with α=π/3\documentclass[12pt]{minimal}...](publication/350041168/figure/fig4/AS:1001128078635010@1615698942264/Overlapping-circles-with-ap-3documentclass12ptminimal-usepackageamsmath_Q320.jpg)
![Overlapping circles shape when α=2π/3\documentclass[12pt]{minimal}...](publication/350041168/figure/fig5/AS:1001128078622720@1615698942318/Overlapping-circles-shape-when-a2p-3documentclass12ptminimal-usepackageamsmath_Q320.jpg)
We consider the elastic stress near a hole with corners in an infinite plate under biaxial stress. The elasticity problem is formulated using complex Goursat functions, resulting in a set of singular integro-differential equations on the boundary. The resulting boundary integral equations are solved numerically using a Chebyshev collocation method...
In this paper, we consider the stress of a hole with the given fourfold shape (with corner) on an infinite plane under uniaxial tension. Complex Goursat functions formulation by Muskhelishvili (1953) gives a set of singular integral equations on the boundary to solve this problem. We develope a numerical method using a set of Chebyshev polynomial w...
