An optimal error estimate for the two-dimensional nonlinear time fractional advection-diffusion equation with smooth and non-smooth solutions. - Hui Zhang 054; Junqing Jia; Xiaoyun Jiang (Comput. Math. Appl., 2020)

Fast evaluation for the two-dimensional nonlinear coupled time-space fractional Klein-Gordon-Zakharov equations. - Junqing Jia; Huan-Ying Xu; Xiaoyun Jiang (Appl. Math. Lett., 2021)

An L1 Legendre-Galerkin spectral method with fast algorithm for the two-dimensional nonlinear coupled time fractional Schrödinger equation and its parameter estimation. - Junqing Jia; Xiaoyun Jiang; Hui Zhang 054 (Comput. Math. Appl., 2021)

Improved Uniform Error Bounds of Exponential Wave Integrator Method for Long-Time Dynamics of the Space Fractional Klein-Gordon Equation with Weak Nonlinearity. - Junqing Jia; Xiaoyun Jiang (J. Sci. Comput., 2023)

Improved uniform error bounds for long-time dynamics of the high-dimensional nonlinear space fractional sine-Gordon equation with weak nonlinearity. - Junqing Jia; Xiaoqing Chi; Xiaoyun Jiang (Comput. Math. Appl., 2024)

Improved uniform error estimates for the two-dimensional nonlinear space fractional Dirac equation with small potentials over long-time dynamics. - Pingrui Zhang; Xiaoyun Jiang; Junqing Jia (Appl. Math. Comput., 2024)

Improved uniform error bounds of Lawson-type exponential integrator method for long-time dynamics of the high-dimensional space fractional sine-Gordon equation. - Junqing Jia; Xiaoyun Jiang; Xiaoqing Chi (Numer. Algorithms, 2024)

Time-splitting Fourier spectral method for two-dimensional space fractional Schrödinger-Poisson-Xα model. - Pingrui Zhang; Junqing Jia; Xiaoyun Jiang (Appl. Math. Lett., 2025)

A novel deep convolutional surrogate model with incomplete solve loss for parameterized steady-state diffusion problems. - Junqing Jia; Xiaoping Zhang 005; Shuting Wang; Lili Ju; Hui Feng (J. Comput. Phys., 2025)

Energy-preserving exponential wave integrator method and the long-time dynamics for the two-dimensional space fractional coupled Klein-Gordon-Dirac equation. - Pingrui Zhang; Xiaoyun Jiang; Junqing Jia (Math. Comput. Simul., 2025)

Optimal error bounds on an exponential wave integrator Fourier spectral method for fractional nonlinear Schrödinger equations with low regularity potential and nonlinearity. - Junqing Jia; Xiaoyun Jiang (CoRR, 2025)