A Bloch decomposition-based stochastic Galerkin method for quantum dynamics with a random external potential. - Zhizhang Wu; Zhongyi Huang (J. Comput. Phys., 2016)

The direct method of lines for elliptic problems in star-shaped domains. - Zhizhang Wu; Zhongyi Huang; Wei-Cheng Wang; Yi Yang 048 (J. Comput. Appl. Math., 2018)

Convergence analysis of an operator-compressed multiscale finite element method for Schrödinger equations with multiscale potentials. - Zhizhang Wu; Zhiwen Zhang 001 (CoRR, 2021)

A Deep Learning Approach to Nonconvex Energy Minimization for Martensitic Phase Transitions. - Xiaoli Chen; Phoebus Rosakis; Zhizhang Wu; Zhiwen Zhang 001 (CoRR, 2022)

Deterministic-Statistical Approach for an Inverse Acoustic Source Problem using Multiple Frequency Limited Aperture Data. - Yanfang Liu; Zhizhang Wu; Jiguang Sun; Zhiwen Zhang 001 (CoRR, 2022)

Convergence Analysis of the Localized Orthogonal Decomposition Method for the Semiclassical Schrödinger Equations with Multiscale Potentials. - Zhizhang Wu; Zhiwen Zhang 001 (J. Sci. Comput., 2022)

Computing large deviation rate functions of entropy production for diffusion processes in the vanishing-noise limit and high dimensions by an interacting particle method. - Zhizhang Wu; Renaud Raquépas; Jack Xin; Zhiwen Zhang 001 (CoRR, 2024)

A Filon-Clenshaw-Curtis-Smolyak rule for multi-dimensional oscillatory integrals with application to a UQ problem for the Helmholtz equation. - Zhizhang Wu; Ivan G. Graham; Dingjiong Ma; Zhiwen Zhang 001 (Math. Comput., 2024)

Error Estimate of a Quasi-Monte Carlo Time-Splitting Pseudospectral Method for Nonlinear Schrödinger Equation with Random Potentials. - Zhizhang Wu; Zhiwen Zhang 001; Xiaofei Zhao (SIAM/ASA J. Uncertain. Quantification, 2024)

Reduced-order model-based variational inference with normalizing flows for Bayesian elliptic inverse problems. - Zhizhang Wu; Cheng Zhang; Zhiwen Zhang 001 (J. Comput. Appl. Math., 2024)

Direct Algorithms for Reconstructing Small Conductivity Inclusions in Subdiffusion. - Jiho Hong; Bangti Jin; Zhizhang Wu (CoRR, 2025)