Positive Definiteness of the Blended Force-Based Quasicontinuum Method. - Xingjie Helen Li 001; Mitchell Luskin; Christoph Ortner (Multiscale Model. Simul., 2012)

Analysis of blended atomistic/continuum hybrid methods. - Xingjie Helen Li 001; Christoph Ortner; Alexander V. Shapeev; Brian Van Koten (Numerische Mathematik, 2016)

Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model. - Xingjie Helen Li 001; Chi-Wang Shu; Yang Yang 014 (J. Sci. Comput., 2017)

The PDE Method for the Analysis of Randomized Load Balancing Networks. - Reza Aghajani; Xingjie Li 001; Kavita Ramanan (Proc. ACM Meas. Anal. Comput. Syst., 2017)

Quasi-nonlocal Coupling of Nonlocal Diffusions. - Xingjie Helen Li 001; Jianfeng Lu 001 (SIAM J. Numer. Anal., 2017)

Force-based atomistic/continuum blending for multilattices. - Derek Olson; Xingjie Li 001; Christoph Ortner; Brian Van Koten (Numerische Mathematik, 2018)

A Quasi-nonlocal Coupling Method for Nonlocal and Local Diffusion Models. - Qiang Du 001; Xingjie Helen Li 001; Jianfeng Lu 001; Xiaochuan Tian (SIAM J. Numer. Anal., 2018)

Energy Dissipative Local Discontinuous Galerkin Methods for Keller-Segel Chemotaxis Model. - Li Guo; Xingjie Helen Li 001; Yang Yang 014 (J. Sci. Comput., 2019)

A Feature Oriented Framework and Enhanced Assessments for Imaging Compression. - Jesse Redford; Xingjie Li 001 (IPAS, 2020)

Coarse-Graining of Overdamped Langevin Dynamics via the Mori-Zwanzig Formalism. - Thomas Hudson; Xingjie Helen Li 001 (Multiscale Model. Simul., 2020)

ISALT: Inference-based schemes adaptive to large time-stepping for locally Lipschitz ergodic systems. - Xingjie Li 001; Fei Lu 016; Felix X.-F. Ye (CoRR, 2021)

Maximum Principle Preserving Finite Difference Scheme for 1-D Nonlocal-to-Local Diffusion Problems. - Amanda Gute; Xingjie Helen Li 001 (CoRR, 2021)

A Meshfree Peridynamic Model for Brittle Fracture in Randomly Heterogeneous Materials. - Yiming Fan; Huaiqian You; Xiaochuan Tian; Xiu Yang; Xingjie Li 001; Naveen Prakash; Yue Yu (CoRR, 2022)

An asymptotically compatible probabilistic collocation method for randomly heterogeneous nonlocal problems. - Yiming Fan; Xiaochuan Tian; Xiu Yang; Xingjie Li 001; Clayton Webster; Yue Yu (J. Comput. Phys., 2022)

A One-Dimensional Symmetric Force-Based Blending Method for Atomistic-to-Continuum Coupling. - Elaine Gorom-Alexander; Xingjie Helen Li 001 (CoRR, 2023)

NySALT: Nyström-type inference-based schemes adaptive to large time-stepping. - Xingjie Li 001; Fei Lu 016; Molei Tao; Felix X.-F. Ye (J. Comput. Phys., 2023)

Robust First and Second-Order Differentiation for Regularized Optimal Transport. - Xingjie Li 001; Fei Lu 016; Molei Tao; Felix X.-F. Ye (CoRR, 2024)

Automated construction of effective potential via algorithmic implicit bias. - Xingjie Helen Li 001; Molei Tao (J. Comput. Phys., 2024)

Dynamical Properties of Coarse-Grained Linear SDEs. - Thomas Hudson; Xingjie Helen Li 001 (Multiscale Model. Simul., 2024)

Numerical Stability Revisited: A Family of Benchmark Problems for the Analysis of Explicit Stochastic Differential Equation integrators. - Thomas Hudson; Xingjie Helen Li 001; Sarah Murphy (CoRR, 2025)