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Jinchao Xu

  1. Algebraic Multigrid Methods
    2016/11/07 by Jinchao Xu, Ludmil Zikatanov, Xu, Jinchao +1 · 16 citations
    Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA)
  2. Some observations on Babu\vska and Brezzi theories
    2003/03/01 by Jinchao Xu, Ludmil Zikatanov · 11 citations
    Engineering · Computer Science · #Advanced Numerical Methods in Computational Mathematics #Advanced Mathematical Modeling in Engineering #Numerical methods in engineering
  3. AceGPT, Localizing Large Language Models in Arabic
    2023/09/21 by Huang Huang, Huang, Huang, F. Richard Yu +36 · 20 citations
    Computer Science · #Topic Modeling #Natural Language Processing Techniques
  4. On the Activation Function Dependence of the Spectral Bias of Neural Networks
    2022/08/09 by Qingguo Hong, Hong, Qingguo, Jonathan W. Siegel +5 · 10 citations
    Computer Science · #Neural Networks and Applications #Machine Learning and ELM #Stochastic Gradient Optimization Techniques
  5. Characterization of the Variation Spaces Corresponding to Shallow Neural Networks
    2021/06/28 by Jonathan W. Siegel, Siegel, Jonathan W., Jinchao Xu +1 · 8 citations
    Computer Science · Engineering · Physics and Astronomy · #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Model Reduction and Neural Networks #Neural Networks and Applications #Numerical methods in engineering
  6. MgNO: Efficient Parameterization of Linear Operators via Multigrid
    2023/10/16 by Juncai He, He, Juncai, Xinliang Liu +3 · 12 citations
    Computer Science · Engineering · Physics and Astronomy · #Advanced Numerical Analysis Techniques #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Neural Networks and Applications #Numerical Analysis (math.NA)
  7. Meta-MgNet: Meta Multigrid Networks for Solving Parameterized Partial Differential Equations
    2020/10/27 by Yuyan Chen, Chen, Yuyan, Bin Dong +3 · 7 citations
    Physics and Astronomy · Engineering · Mathematics · #Model Reduction and Neural Networks #Advanced Numerical Methods in Computational Mathematics #Numerical methods for differential equations
  8. Greedy Training Algorithms for Neural Networks and Applications to PDEs
    2021/07/09 by Jonathan W. Siegel, Qingguo Hong, Siegel, Jonathan W. +7 · 4 citations
    Engineering · Physics and Astronomy · #65H20 #65N22 #65N30 #Advanced Numerical Analysis Techniques #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA)
  9. High-Order Extended Finite Element Methods for Solving Interface Problems
    2016/04/21 by Fei Wang, Wang, Fei, Yuanming Xiao +3 · 2 citations
    Engineering · #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
  10. Interior Penalty Mixed Finite Element Methods of Any Order in Any Dimension for Linear Elasticity with Strongly Symmetric Stress Tensor
    2015/07/07 by Shuonan Wu, Shihua Gong, Wu, Shuonan +3 · 4 citations
    Engineering · #Advanced Numerical Methods in Computational Mathematics #Numerical methods in engineering #Elasticity and Material Modeling
  11. Comparative Convergence Analysis of Nonlinear AMLI-cycle Multigrid
    2012/02/09 by Xiaozhe Hu, Panayot S. Vassilevski, Hu, Xiaozhe +3 · 1 citation
    Engineering · Computer Science · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Matrix Theory and Algorithms #Numerical methods for differential equations
  12. Stable Finite Element Methods Preserving ∇ ⋅ \boldsymbolB = 0 Exactly for MHD Models
    2014/10/04 by Kaibo Hu, Yicong Ma, Hu, Kaibo +3 · 1 citation
    Engineering · #65M60 (Primary) #65Z05 #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)
  13. New Hybridized Mixed Methods for Linear Elasticity and Optimal Multilevel Solvers
    2017/04/25 by Shihua Gong, Gong, Shihua, Shuonan Wu +3 · 2 citations
    Engineering · #Advanced Numerical Methods in Computational Mathematics #Numerical methods in engineering #Computational Fluid Dynamics and Aerodynamics
  14. A Cascadic Multigrid Algorithm for Computing the Fiedler Vector of Graph\n Laplacians
    2014/12/01 by John Urschel, Xiaozhe Hu, Urschel, John C. +5 · 1 citation
    Computer Science · Engineering · #65F15 #65N55 #68R10 #Advanced Numerical Methods in Computational Mathematics #Complexity and Algorithms in Graphs #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA)
  15. Optimal Convergence Rates for the Orthogonal Greedy Algorithm
    2021/06/28 by Jonathan W. Siegel, Jinchao Xu, Siegel, Jonathan W. +1 · 2 citations
    Computer Science · Engineering · #41A25 #41A46 #46N30 #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Medical Image Segmentation Techniques #Sparse and Compressive Sensing Techniques #Statistics Theory (math.ST) #Stochastic Gradient Optimization Techniques
  16. Structure-preserving Finite Element Methods for Stationary MHD Models
    2015/03/20 by Kaibo Hu, Jinchao Xu, Hu, Kaibo +1 · 1 citation
    Engineering · #65N12 #65N30 #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)
  17. A Unified Study of Continuous and Discontinuous Galerkin Methods
    2017/12/04 by Qingguo Hong, Fei Wang, Hong, Qingguo +5 · 1 citation
    Engineering · #65M12 #65M60 #65N30 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
  18. Generalized Gaffney inequality and discrete compactness for discrete differential forms
    2018/04/10 by Juncai He, Kaibo Hu, He, Juncai +3 · 1 citation
    Computer Science · Engineering · #46E35 #46E40 #65N30 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
  19. A Mixed Discontinuous Galerkin Method for Linear Elasticity with Strongly Imposed Symmetry
    2019/02/23 by Fei Wang, Wang, Fei, Shuonan Wu +3 · 1 citation
    Engineering · Computer Science · #Advanced Numerical Methods in Computational Mathematics #Advanced Mathematical Modeling in Engineering #Numerical methods in engineering
  20. A Priori Analysis of Stable Neural Network Solutions to Numerical PDEs
    2021/04/07 by Qingguo Hong, Jonathan W. Siegel, Hong, Qingguo +3 · 1 citation
    Computer Science · Physics and Astronomy · #65N12 #65N30 #65N75 #FOS: Mathematics #Model Reduction and Neural Networks #Neural Networks and Applications #Numerical Analysis (math.NA) #Stochastic Gradient Optimization Techniques
  21. Alignment at Pre-training! Towards Native Alignment for Arabic LLMs
    2024/12/04 by Juhao Liang, Liang, Juhao, Zhaoxi Cai +20 · 3 citations
    Computer Science · #Natural Language Processing Techniques #Library Science and Information Systems
  22. Simplex-averaged finite element methods for H(\rm grad), H(\rm curl) and H(\rm div) convection-diffusion problems
    2018/10/11 by Shuonan Wu, Jinchao Xu, Wu, Shuonan +1 · 1 citation
    Computer Science · Engineering · Mathematics · #65N12 #65N15 #65N30 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)
  23. Auxiliary space theory for the analysis of iterative methods for semidefinite linear systems
    2025/09/08 by Jong-Ho Park, Park, Jongho, Jinchao Xu +1 · 3 citations
    Computer Science · Mathematics · #Matrix Theory and Algorithms #Advanced Optimization Algorithms Research #Iterative Methods for Nonlinear Equations
  24. ReLUk Neural de Rham Complexes
    2026/07/24 by Kaibo Hu, Jindong Wang, Jinchao Xu
    #math.NA #cs.NA