A frequency-dependent p-adaptive technique for spectral methods. - Mingtao Xia; Sihong Shao; Tom Chou (CoRR, 2020)

PDE Models of Adder Mechanisms in Cellular Proliferation. - Mingtao Xia; Chris D. Greenman; Tom Chou (SIAM J. Appl. Math., 2020)

A frequency-dependent p-adaptive technique for spectral methods. - Mingtao Xia; Sihong Shao; Tom Chou (J. Comput. Phys., 2021)

Efficient Scaling and Moving Techniques for Spectral Methods in Unbounded Domains. - Mingtao Xia; Sihong Shao; Tom Chou (SIAM J. Sci. Comput., 2021)

Spectrally Adapted Physics-Informed Neural Networks for Solving Unbounded Domain Problems. - Mingtao Xia; Lucas Böttcher; Tom Chou (CoRR, 2022)

Adaptive Hermite Spectral Methods in Unbounded Domains. - Tom Chou; Sihong Shao; Mingtao Xia (CoRR, 2022)

Controlling Epidemics Through Optimal Allocation of Test Kits and Vaccine Doses Across Networks. - Mingtao Xia; Lucas Böttcher; Tom Chou (IEEE Trans. Netw. Sci. Eng., 2022)

A Spectral Approach for Learning Spatiotemporal Neural Differential Equations. - Mingtao Xia; Xiangting Li 001; Qijing Shen; Tom Chou (CoRR, 2023)

Mathematical Modeling and Computational Methods for Structured Populations - Mingtao Xia (2023)

Squared Wasserstein-2 Distance for Efficient Reconstruction of Stochastic Differential Equations. - Mingtao Xia; Xiangting Li 001; Qijing Shen; Tom Chou (CoRR, 2024)

An efficient Wasserstein-distance approach for reconstructing jump-diffusion processes using parameterized neural networks. - Mingtao Xia; Xiangting Li 001; Qijing Shen; Tom Chou (CoRR, 2024)

A local squared Wasserstein-2 method for efficient reconstruction of models with uncertainty. - Mingtao Xia; Qijing Shen (CoRR, 2024)

Learning unbounded-domain spatiotemporal differential equations using adaptive spectral methods. - Mingtao Xia; Xiangting Li 001; Qijing Shen; Tom Chou (J. Appl. Math. Comput., 2024)

Adaptive hyperbolic-cross-space mapped Jacobi method on unbounded domains with applications to solving multidimensional spatiotemporal integrodifferential equations. - Yunhong Deng; Sihong Shao; Alex Mogilner; Mingtao Xia (J. Comput. Phys., 2025)

A new local time-decoupled squared Wasserstein-2 method for training stochastic neural networks to reconstruct uncertain parameters in dynamical systems. - Mingtao Xia; Qijing Shen; Philip K. Maini; Eamonn A. Gaffney; Alex Mogilner (CoRR, 2025)

A generalized Wasserstein-2 distance approach for efficient reconstruction of random field models using stochastic neural networks. - Mingtao Xia; Qijing Shen (CoRR, 2025)