An Atomistic/Continuum Coupling Method Using Enriched Bases. - Jingrun Chen; Carlos J. García-Cervera; Xiantao Li (Multiscale Model. Simul., 2015)

A Mean-Field Model for Spin Dynamics in Multilayered Ferromagnetic Media. - Jingrun Chen; Carlos J. García-Cervera; Xu Yang 018 (Multiscale Model. Simul., 2015)

On a Schrödinger-Landau-Lifshitz System: Variational Structure and Numerical Methods. - Jingrun Chen; Jian-Guo Liu 006; Zhennan Zhou (Multiscale Model. Simul., 2016)

Analysis of the divide-and-conquer method for electronic structure calculations. - Jingrun Chen; Jianfeng Lu 001 (Math. Comput., 2016)

An efficient multigrid strategy for large-scale molecular mechanics optimization. - Jingrun Chen; Carlos J. García-Cervera (J. Comput. Phys., 2017)

Efficient multiscale methods for the semiclassical Schrödinger equation with time-dependent potentials. - Jingrun Chen; Sijing Li; Zhiwen Zhang 001 (CoRR, 2019)

Connecting exciton diffusion with surface roughness via deep learning. - Liyao Lyu; Zhiwen Zhang 001; Jingrun Chen (CoRR, 2019)

Quasi-Monte Carlo sampling for machine-learning partial differential equations. - Jingrun Chen; Rui Du; Panchi Li; Liyao Lyu (CoRR, 2019)

Numerical methods for antiferromagnetics. - Panchi Li; Jingrun Chen; Rui Du; Xiao-Ping Wang 002 (CoRR, 2019)

Estimation of exciton diffusion lengths of organic semiconductors in random domains. - Jingrun Chen; Ling Lin 002; Zhiwen Zhang 001; Xiang Zhou 001 (J. Comput. Phys., 2019)

A Multiscale Finite Element Method for the Schrödinger Equation with Multiscale Potentials. - Jingrun Chen; Dingjiong Ma; Zhiwen Zhang 001 (SIAM J. Sci. Comput., 2019)

A comprehensive study of boundary conditions when solving PDEs by DNNs. - Jingrun Chen; Rui Du; Keke Wu (CoRR, 2020)

Enforcing exact boundary and initial conditions in the deep mixed residual method. - Liyao Lyu; Keke Wu; Rui Du; Jingrun Chen (CoRR, 2020)

Two improved Gauss-Seidel projection methods for Landau-Lifshitz-Gilbert equation. - Panchi Li; Changjian Xie; Rui Du; Jingrun Chen; Xiao-Ping Wang 002 (J. Comput. Phys., 2020)

Second-order semi-implicit projection methods for micromagnetics simulations. - Changjian Xie; Carlos J. García-Cervera; Cheng Wang 015; Zhennan Zhou; Jingrun Chen (J. Comput. Phys., 2020)

A Multiscale Reduced Basis Method for the Schrödinger Equation With Multiscale and Random Potentials. - Jingrun Chen; Dingjiong Ma; Zhiwen Zhang 001 (Multiscale Model. Simul., 2020)

A Machine-Learning Method for Time-Dependent Wave Equations over Unbounded Domains. - Changjian Xie; Jingrun Chen; Xiantao Li (CoRR, 2021)

A Gauss-Seidel projection method with the minimal number of updates for stray field in micromagnetic simulations. - Panchi Li; Zetao Ma; Rui Du; Jingrun Chen (CoRR, 2021)

Understanding Loss Landscapes of Neural Network Models in Solving Partial Differential Equations. - Keke Wu; Rui Du; Jingrun Chen; Xiang Zhou 001 (CoRR, 2021)

A Deep Learning Based Discontinuous Galerkin Method for Hyperbolic Equations with Discontinuous Solutions and Random Uncertainties. - Jingrun Chen; Shi Jin; Liyao Lyu (CoRR, 2021)

A second-order semi-implicit method for the inertial Landau-Lifshitz-Gilbert equation. - Panchi Li; Lei Yang; Jin Lan; Rui Du; Jingrun Chen (CoRR, 2021)

Convergence Analysis of A Second-order Accurate, Linear Numerical Scheme for The Landau-Lifshitz Equation with Large Damping Parameters. - Yongyong Cai; Jingrun Chen; Cheng Wang 015; Changjian Xie (CoRR, 2021)

A framework of the finite element solution of the Landau-Lifshitz-Gilbert equation on tetrahedral meshes. - Lei Yang 056; Jingrun Chen; Guanghui Hu (J. Comput. Phys., 2021)

Bridging Traditional and Machine Learning-based Algorithms for Solving PDEs: The Random Feature Method. - Jingrun Chen; Xurong Chi; Weinan E; Zhouwang Yang (CoRR, 2022)

Convergence analysis of an implicit finite difference method for the inertial Landau-Lifshitz-Gilbert equation. - Jingrun Chen; Panchi Li; Cheng Wang 015 (CoRR, 2022)

A second-order numerical method for Landau-Lifshitz-Gilbert equation with large damping parameters. - Yongyong Cai; Jingrun Chen; Cheng Wang 015; Changjian Xie (J. Comput. Phys., 2022)

MIM: A deep mixed residual method for solving high-order partial differential equations. - Liyao Lyu; Zhen Zhang; Minxin Chen; Jingrun Chen (J. Comput. Phys., 2022)

On the Multiscale Landau-Lifshitz-Gilbert Equation: Two-Scale Convergence and Stability Analysis. - Jingrun Chen; Rui Du; Zetao Ma; Zhiwei Sun; Lei Zhang 027 (Multiscale Model. Simul., 2022)

Roughness Index for Loss Landscapes of Neural Network Models of Partial Differential Equations*. - Keke Wu; Xiangru Jian; Rui Du; Jingrun Chen; Xiang Zhou 001 (IEEE Big Data, 2023)

Exploring the Optimal Choice for Generative Processes in Diffusion Models: Ordinary vs Stochastic Differential Equations. - Yu Cao 005; Jingrun Chen; Yixin Luo; Xiang Zhou 001 (NeurIPS, 2023)

The Random Feature Method for Time-dependent Problems. - Jingrun Chen; Weinan E; Yixin Luo (CoRR, 2023)

The Random Feature Method for Solving Interface Problems. - Xurong Chi; Jingrun Chen; Zhouwang Yang (CoRR, 2023)

IMEX-RK methods for Landau-Lifshitz equation with arbitrary damping. - Yan Gui; Cheng Wang 015; Jingrun Chen (CoRR, 2023)

Convergence analysis of the element-free Galerkin method for plate bending problem. - Huanhuan Ma; Jingrun Chen; Jiansong Deng (Comput. Math. Appl., 2023)

Micromagnetics simulations and phase transitions of ferromagnetics with Dzyaloshinskii-Moriya interaction. - Panchi Li; Shuting Gu; Jin Lan; Jingrun Chen; Weiqing Ren; Rui Du (Commun. Nonlinear Sci. Numer. Simul., 2023)

Solving multiscale elliptic problems by sparse radial basis function neural networks. - Zhiwen Wang; Minxin Chen; Jingrun Chen (J. Comput. Phys., 2023)

Toward Quantifiable Face age Transformation. - Ling Lin 002; Congcong Zhu; Lin Zhou; Jingrun Chen (ICASSP, 2024)

Error analysis of the element-free Galerkin method for a nonlinear plate problem. - Huanhuan Ma; Jingrun Chen; Jiansong Deng (Comput. Math. Appl., 2024)

R-adaptive DeepONet: Learning Solution Operators for PDEs with Discontinuous Solutions Using an R-adaptive Strategy. - Yameng Zhu; Jingrun Chen; Weibing Deng (CoRR, 2024)

High-precision randomized iterative methods for the random feature method. - Jingrun Chen; Longze Tan (CoRR, 2024)

Error Analysis of the Deep Mixed Residual Method for High-order Elliptic Equations. - Mengjia Bai; Jingrun Chen; Rui Du; Zhiwei Sun (CoRR, 2024)

Random Batch Method with Momentum Correction. - Yanshun Zhao; Jingrun Chen; Zhiwen Zhang (CoRR, 2024)

Analysis of the dynamic response for Kirchhoff plates by the element-free Galerkin method. - Huanhuan Ma; Jingrun Chen; Jiansong Deng (J. Comput. Appl. Math., 2024)

Convergence Analysis of an Implicit Finite Difference Method for the Inertial Landau-Lifshitz-Gilbert Equation. - Jingrun Chen; Panchi Li; Cheng Wang (J. Sci. Comput., 2024)

Toward Quantifiable Face Age Transformation Under Attribute Unbias. - Ling Lin 002; Tao Wang; Hao Liu 019; Congcong Zhu; Jingrun Chen (IEEE Trans. Circuits Syst. Video Technol., 2024)

Stage-wise multi-focus fusion for numerous misaligned industrial images. - Wenjie Zhu; Xurong Chi; Jingrun Chen (Neurocomputing, 2025)

On the adaptive deterministic block Kaczmarz method with momentum for solving large-scale consistent linear systems. - Longze Tan; Xueping Guo; Mingyu Deng; Jingrun Chen (J. Comput. Appl. Math., 2025)

XI-DeepONet: An operator learning method for elliptic interface problems. - Ran Bi; Jingrun Chen; Weibing Deng (J. Comput. Phys., 2025)

A micro-macro decomposition-based asymptotic-preserving random feature method for multiscale radiative transfer equations. - Jingrun Chen; Zheng Ma; Keke Wu (J. Comput. Phys., 2025)

A PINN-enriched finite element method for linear elliptic problems. - Xiao Chen; Yixin Luo; Jingrun Chen (CoRR, 2025)

STSA: Spatial-Temporal Semantic Alignment for Visual Dubbing. - Zijun Ding; Mingdie Xiong; Congcong Zhu; Jingrun Chen (CoRR, 2025)

An Unsupervised Network Architecture Search Method for Solving Partial Differential Equations. - Qing Li; Jingrun Chen (CoRR, 2025)

Weak Random Feature Method for Solving Partial Differential Equations. - Mikhail Kuvakin; Zijian Mei; Jingrun Chen (CoRR, 2025)

Physics-informed Temporal Alignment for Auto-regressive PDE Foundation Models. - Congcong Zhu; Xiaoyan Xu; Jiayue Han; Jingrun Chen (CoRR, 2025)

Xinyu AI Search: Enhanced Relevance and Comprehensive Results with Rich Answer Presentations. - Bo Tang; Junyi Zhu 002; Chenyang Xi; Yunhang Ge; Jiahao Wu; Yuchen Feng; Yijun Niu; Wenqiang Wei; Yu Yu; Chunyu Li; Zehao Lin; Hao Wu; et al. (CoRR, 2025)

Numerical Homogenization of Landau-Lifshitz Equation with Rough Coefficients. - Zetao Ma; Jingrun Chen; Rui Du; Lei Zhang 027 (CoRR, 2025)