Publication list
Journal papers:
Thomas Hudson and Xingjie Li
Dynamical properties of coarse-grained linear SDEs.
Multiscale Modeling and Simulation, 2023.
Elaine Gorom-Alexander and Xingjie Helen Li.
A one-dimensional symmetric force-based blending method for atomistic-to-continuum coupling.
A³N²M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models, 2023.
Xingjie Li, Fei Lu, Molei Tao, Felix Ye.
NySALT: Nyström-type inference-based schemes adaptive to large time-stepping.
Journal of Computational Physics, 2023.
Yiming Fan, Huaiqian You, Xiaochuan Tian, Xiu Yang, Xingjie Li, Naveen Prakash, Yue Yu.
A Meshfree Peridynamic Model for Brittle Fracture in Randomly Heterogeneous Materials.
Computer Methods in Applied Mechanics and Engineering, 2022.
Yiming Fan, Xiaochuan Tian, Xiu Yang, Xingjie Li, Clayton Webster and Yue Yu.
Journal of Computational Physics, 2022.
Amanda Gute and Xingjie Helen Li.
Maximum Principle Preserving Finite Difference Scheme for 1-D Nonlocal-to-Local Diffusion Problems.
Results in Applied Mathematics, 2021.
Xingjie Helen Li, Fei Lu and Felix X.-F. Ye.
Discrete and Continuous Dynamical Systems Series S, 2021.
Marta D'Elia, Cynthia Flores, Xingjie Helen Li, Petronela Radu and Yue Yu.
Helmholtz-Hodge decompositions in the nonlocal framework Well-posedness analysis and applications.
Journal of Peridynamics and Nonlocal Modeling, 2020.
Marta D'Elia, Xingjie Li, Pablo Seleson, Xiaochuan Tian and Yue Yu.
A review of Local-to-Nonlocal coupling methods in nonlocal diffusion and nonlocal mechanics.
Journal of Peridynamics and Nonlocal Modeling, 2021.
Thomas Hudson and Xingjie Li.
Coarse-graining of overdamped Langevin dynamics via the Mori-Zwanzig formalism.
Multiscale Modeling and Simulation, 2020.
Qiang Du, Xingjie Helen Li, Jianfeng Lu and Xiaochuan Tian.
A quasinonlocal coupling method for nonlocal and local diffusion models.
SIAM Journal on Numerical Analysis, 2018.
Derek Olson, Xingjie Li, Christoph Ortner and Brian Van Koten.
Force-based atomistic/continuum blending for multilattices.
Numerische Mathematik, 2018.
Li Guo, Xingjie Helen Li and Yang Yang.
Energy dissipative local discontinuous Galerkin methods for Keller-Segel chemotaxis model.
Journal of Scientific Computing, 2018.
Xingjie Helen Li and Jianfeng Lu.
Quasinonlocal coupling of nonlocal diffusions.
SIAM Journal on Numerical Analysis, 2017.
Mohammadreza Aghajani, Xingjie Helen Li and Kavita Ramanan.
The PDE Method for the Analysis of Randomized Load Balancing Networks.
Proceedings of the ACM on Measurement and Analysis of Computing Systems, 2017.
Xingjie Helen Li, Chi-Wang Shu and Yang Yang.
Local discontinuous Galerkin method for the Keller-Segel Chemotaxis model.
Journal of Scientific Computing, 2016.
Xingjie Helen Li, Matthew Williams, Yannis Kevrekidis and Govind Menon.
Coarse graining, dynamic renormalization and the kinetic theory of shock clustering.
Nonlinearity, 2015.
Xingjie Helen Li, Christoph Ortner, Alexander V. Shapeev and Brian Van Koten.
Analysis of blended atomistic/continuum hybrid methods.
Numerische Mathematik, 2015.
Xingjie Helen Li, Mitchell Luskin, Christoph Ortner, and Alexander V. Shapeev.
Theory-based benchmarking of the blended force-based quasicontinuum method.
Computer Methods in Applied Mechanics and Engineering, 2014.
Xingjie Helen Li and Govind Menon.
Numerical solution of Dyson Brownian motion and a sampling scheme for invariant matrix ensembles.
Journal of statistical physics, 2013.
Xingjie Helen Li and Mitchell Luskin.
Lattice stability for atomistic chains modeled by local approximations of the Embedded Atom Method.
Computational Materials Science, 2013.
Liping Gao, Xingjie Li and Wenbin Chen.
Mathematical Methods in the Applied Sciences, 2013.
Brian Van Koten, Xingjie Helen Li, Mitchell Luskin, and Christoph Ortner.
A computational and theoretical investigation of the accuracy of quasicontinuum methods.
In Ivan Graham, Tom Hou, Omar Lakkis, and Rob Scheichl, editors, Numerical Analysis of Multiscale Problems, 2012.
Xingjie Helen Li, Mitchell Luskin and Christoph Ortner.
Positive-definiteness of the blended force-based quasicontinuum method.
Multiscale Modeling and Simulation, 2012.
Xingjie Helen Li and Mitchell Luskin.
An analysis of the quasinonlocal quasicontinuum approximation of the Embedded Atom Model.
International Journal for Multiscale Computational Engineering, 2012.
Xingjie Helen Li and Mitchell Luskin.
A generalized quasinonlocal atomistic-to-continuum coupling method with finite range interaction.
IMA Journal of Numerical Analysis, 2011.
Wenbin Chen, Xingjie Li and Dong Liang.
SIAM Journal on Numerical Analysis, 2010.
Wenbin Chen, Xingjie Li and Dong Liang.
Energy-conserved splitting FDTD methods for Maxwell's equations.
Numerische Mathematik, 2008.
Wenbin Chen, Xingjie Li and Dong Liang.
Symmetric energy-conserved splitting FDTD scheme for the Maxwell's equations.
Communications in Computational Physics, 2008.
Conference papers and articles:
Aiden James (undergraduate) and Xingjie Helen Li.
Image Dilution using Harris Corner Detection and Geometric Kernels.
2022 IEEE MIT Undergraduate Research Technology Conference, 2022.
Mai Phuong Nguyen (undergraduate) and Xingjie Helen Li.
A Study of Illumination Filtering and Movement Detection in Video Streaming Processing.
2021 IEEE MIT Undergraduate Research Technology Conference, 2021.
Cesar Alzate (undergraduate) and Xingjie Helen Li.
SIAM News, 2021.
Timothy Jesse Redford (undergraduate) and Xingjie Helen Li.
A Feature Oriented Framework and Enhanced Assessments for Imaging Compression.
The Fourth IEEE International Conference on Image Processing, Applications and Systems, 2020.
Timothy Jesse Redford (undergraduate) and Xingjie Helen Li.
Exploration of SVD for Image Compression and Time Series Processing.
2020 IEEE MIT Undergraduate Research Technology Conference, 2020.
Current papers:
Xingjie Helen Li and Molei Tao
Automated construction of effective potential via algorithmic implicit bias
arXiv:2401.03511
Julian Bennett, Lauren Eriksen, Xingjie Helen Li
A Comprehensive Study of Covid 19 in Florida