Numerical methods for multiscale elliptic problems. - Pingbing Ming; Xingye Yue (J. Comput. Phys., 2006)

The local microscale problem in the multiscale modeling of strongly heterogeneous media: Effects of boundary conditions and cell size. - Xingye Yue; Weinan E (J. Comput. Phys., 2007)

A Completely Discrete Heterogeneous Multiscale Finite Element Method for Multiscale Richards' Equation of van Genuchten-Mualem Model. - Haitao Cao 002; Tao Yu 003; Xingye Yue (J. Appl. Math., 2014)

Fully discrete IPDG-HMM for multiscale Richards equation of unsaturated flow in porous media. - Haitao Cao 002; Tao Yu 003; Xingye Yue (J. Comput. Appl. Math., 2015)

A Second-Order, Weakly Energy-Stable Pseudo-spectral Scheme for the Cahn-Hilliard Equation and Its Solution by the Homogeneous Linear Iteration Method. - Kelong Cheng; Cheng Wang 015; Steven M. Wise; Xingye Yue (J. Sci. Comput., 2016)

A second order numerical scheme for the annealing of metal-intermetallic laminate composite: A ternary reaction system. - Shenggao Zhou; Yu Wang; Xingye Yue; Cheng Wang 015 (J. Comput. Phys., 2018)

On the Operator Splitting and Integral Equation Preconditioned Deferred Correction Methods for the "Good" Boussinesq Equation. - Cheng Zhang; Jingfang Huang; Cheng Wang 015; Xingye Yue (J. Sci. Comput., 2018)

Convergence analysis of a numerical scheme for the porous medium equation by an energetic variational approach. - Chenghua Duan; Chun Liu 009; Cheng Wang 015; Xingye Yue (CoRR, 2019)

Numerical methods for porous medium equation by an energetic variational approach. - Chenghua Duan; Chun Liu 009; Cheng Wang 015; Xingye Yue (J. Comput. Phys., 2019)

Numerical Method for Multi-Alleles Genetic Drift Problem. - Shixin Xu; Xinfu Chen; Chun Liu 009; Xingye Yue (SIAM J. Numer. Anal., 2019)

A Group Norm Regularized Factorization Model for Subspace Segmentation. - Xishun Wang; Zhouwang Yang; Xingye Yue; Hui Wang 057 (IEEE Access, 2020)

A Group Norm Regularized LRR Factorization Model for Spectral Clustering. - Xishun Wang; Zhouwang Yang; Xingye Yue; Hui Wang 057 (CoRR, 2020)

A second order accurate numerical scheme for the porous medium equation by an energetic variational approach. - Chenghua Duan; Wenbin Chen 006; Chun Liu 009; Cheng Wang 015; Xingye Yue (CoRR, 2020)

An improved error analysis for a second-order numerical scheme for the Cahn-Hilliard equation. - Jing Guo; Cheng Wang 015; Steven M. Wise; Xingye Yue (J. Comput. Appl. Math., 2021)

A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system. - Chun Liu 009; Cheng Wang 015; Steven M. Wise; Xingye Yue; Shenggao Zhou (Math. Comput., 2021)

Structure-Preserving Numerical Methods for Nonlinear Fokker-Planck Equations with Nonlocal Interactions by an Energetic Variational Approach. - Chenghua Duan; Wenbin Chen 006; Chun Liu 009; Xingye Yue; Shenggao Zhou (SIAM J. Sci. Comput., 2021)

A second order accurate numerical method for the Poisson-Nernst-Planck system in the energetic variational formulation. - Chun Liu 009; Cheng Wang 015; Steven M. Wise; Xingye Yue; Shenggao Zhou (CoRR, 2022)

An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis. - Chun Liu 009; Cheng Wang 015; Steven M. Wise; Xingye Yue; Shenggao Zhou (J. Comput. Appl. Math., 2022)

Realization Utility with Path-Dependent Reference Points. - Linghui Kong; Cong Qin; Xingye Yue (SIAM J. Financial Math., 2022)

The Cumulative Distribution Function Based Method for Random Drift Model. - Chenghua Duan; Chun Liu 009; Xingye Yue (CoRR, 2023)

A Second Order Accurate, Positivity Preserving Numerical Method for the Poisson-Nernst-Planck System and Its Convergence Analysis. - Chun Liu 009; Cheng Wang 015; Steven M. Wise; Xingye Yue; Shenggao Zhou (J. Sci. Comput., 2023)

A refined convergence estimate for a fourth order finite difference numerical scheme to the Cahn-Hilliard equation. - Jing Guo; Cheng Wang 015; Yue Yan; Xingye Yue (CoRR, 2024)

Heterogeneous Multiscale Method for elliptic problem without scale separation. - Tao Yu 003; Xingye Yue; Changjuan Zhang (CoRR, 2024)

Localized Orthogonal Decomposition Method with H1 Interpolation for Multiscale Elliptic Problem. - Tao Yu 003; Xingye Yue (CoRR, 2024)

XNet-Enhanced Deep BSDE Method and Numerical Analysis. - Xiaotao Zheng; Zhihong Xia; Xin Li; Xingye Yue (CoRR, 2025)

Deep Feynman-Kac Methods for High-dimensional Semilinear Parabolic Equations: Revisit. - Xiaotao Zheng; Xingye Yue; Jiyang Shi (CoRR, 2025)