A multiscale Galerkin method for second-order boundary value problems of Fredholm integro-differential equation. - Jian Chen; Yong Huang; Haiwu Rong; Tingting Wu; Taishan Zeng (J. Comput. Appl. Math., 2015)

A dispersion minimizing finite difference scheme for the Helmholtz equation based on point-weighting. - Dongsheng Cheng; Xu Tan; Taishan Zeng (Comput. Math. Appl., 2017)

A multiscale Galerkin method for second-order boundary value problems of Fredholm integro-differential equation II: Efficient algorithm for the discrete linear system. - Jian Chen; Minfan He; Taishan Zeng (J. Vis. Commun. Image Represent., 2019)

Sparse Deep Neural Network for Nonlinear Partial Differential Equations. - Yuesheng Xu; Taishan Zeng (CoRR, 2022)

Multi-Grade Deep Learning for Partial Differential Equations with Applications to the Burgers Equation. - Yuesheng Xu; Taishan Zeng (CoRR, 2023)

Numerical analysis of the optimal 9-point finite difference scheme for the Helmholtz equation. - Jiayuan Liu; Tingting Wu; Taishan Zeng (Appl. Math. Lett., 2023)

A phase velocity preserving fourth-order finite difference scheme for the Helmholtz equation with variable wavenumber. - Tingting Wu; Wenhui Zhang; Taishan Zeng (Appl. Math. Lett., 2024)

Sparse-regularized high-frequency enhanced neural network for solving high-frequency problems. - Qilin Huang; Mingjin Fang; Dongsheng Cheng; Chunyuan Lu; Taishan Zeng (J. Comput. Phys., 2025)