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Du, Qiang

  1. Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes
    2020/05/23 by Qiang Du, Du, Qiang, Lili Ju +5 · 9 citations
    Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Stability and Controllability of Differential Equations
  2. Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation
    2019/02/13 by Qiang Du, Du, Qiang, Lili Ju +5 · 5 citations
    Computer Science · Materials Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Solidification and crystal growth phenomena
  3. Modelling and Simulations of Multi-component Lipid Membranes and Open Membranes via Diffusive Interface Approaches
    2006/05/11 by Xiaoqiang Wang, Wang, Xiaoqiang, Qiang Du +1 · 3 citations
    Biochemistry, Genetics and Molecular Biology · Engineering · #Lipid Membrane Structure and Behavior #Nanopore and Nanochannel Transport Studies #RNA Interference and Gene Delivery
  4. Stochastic Training of Residual Networks: a Differential Equation\n Viewpoint
    2018/12/01 by Qi Sun, Sun, Qi, Yunzhe Tao +3 · 4 citations
    Computer Science · Engineering · Physics and Astronomy · #49J20 #62M45 #65C30 #Adversarial Robustness in Machine Learning #Energy Load and Power Forecasting #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Model Reduction and Neural Networks #Neural Networks and Applications
  5. New error bounds for deep networks using sparse grids
    2017/12/23 by Hadrien Montanelli, Qiang Du, Montanelli, Hadrien +1 · 3 citations
    Engineering · Computer Science · #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques #Image and Signal Denoising Methods
  6. The Phase Field Method for Geometric Moving Interfaces and Their Numerical Approximations
    2019/02/13 by Du, Qiang, Feng, Xiaobing · 3 citations
    #FOS: Mathematics #Numerical Analysis (math.NA)
  7. Revealing Excited States of Rotational Bose-Einstein Condensates
    2023/01/01 by Jianyuan Yin, Zhen Huang, Yin, Jianyuan +7 · 6 citations
    Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Strong Light-Matter Interactions #Physics of Superconductivity and Magnetism
  8. Time-Fractional Allen-Cahn Equations: Analysis and Numerical Methods
    2019/06/15 by Qiang Du, Jiang Yang, Du, Qiang +3 · 3 citations
    Mathematics · #Fractional Differential Equations Solutions #Differential Equations and Numerical Methods #Nonlinear Partial Differential Equations
  9. The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation
    2021/03/21 by Du, Qiang, Gu, Yiqi, Yang, Haizhao +1 · 3 citations
    #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
  10. On the convergence to local limit of nonlocal models with approximated interaction neighborhoods
    2021/09/26 by Du, Qiang, Xie, Hehu, Yin, Xiaobo · 3 citations
    #45A05 #45N05 #45P05 #46N20 #65R20 #65R99 #FOS: Mathematics #Numerical Analysis (math.NA)
  11. Stability of nonlocal Dirichlet integrals and implications for peridynamic correspondence material modeling
    2017/10/14 by Qiang Du, Xiaochuan Tian, Du, Qiang +1 · 2 citations
    Engineering · Physics and Astronomy · #Numerical methods in engineering #Nonlinear Waves and Solitons #Nonlinear Photonic Systems
  12. The Graph Limit of The Minimizer of The Onsager-Machlup Functional and Its Computation
    2020/03/06 by Du, Qiang, Li, Tiejun, Li, Xiaoguang +1 · 2 citations
    #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR)
  13. Digital Low-Level RF control system for Accumulator Ring at Advanced Light Source Upgrade Project
    2022/10/11 by Qiang Du, Shreeharshini Murthy, Du, Qiang +19 · 4 citations
    Engineering · Physics and Astronomy · #Particle Accelerators and Free-Electron Lasers #Particle accelerators and beam dynamics #Gyrotron and Vacuum Electronics Research
  14. Nonlocal diffusion models with consistent local and fractional limits
    2022/03/01 by Du, Qiang, Tian, Xiaochuan, Zhou, Zhi · 2 citations
    #35J25 #35R11 #46E35 #47G10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
  15. Nonlocal problems with local boundary conditions I: function spaces and variational principles
    2023/07/17 by Scott, James M., Du, Qiang · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  16. Nonlocal conservation laws. I. A new class of monotonicity-preserving models
    2016/11/26 by Du, Qiang, Huang, Zhan, LeFloch, Philippe G. · 1 citation
    #35L65 #76L05 #76N #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
  17. A quasinonlocal coupling method for nonlocal and local diffusion models
    2017/04/02 by Qiang Du, Du, Qiang, Xingjie Helen Li +5 · 1 citation
    Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering #Numerical methods in inverse problems
  18. A spectral method for nonlocal diffusion operators on the sphere
    2018/01/15 by Slevinsky, Richard Mikael, Montanelli, Hadrien, Du, Qiang · 1 citation
    #33C55 #42B37 #65D30 #65L05 #65M20 #65M70 #FOS: Mathematics #Numerical Analysis (math.NA)
  19. Nonlocal Neural Networks, Nonlocal Diffusion and Nonlocal Modeling
    2018/06/02 by Yunzhe Tao, Qi Sun, Tao, Yunzhe +5 · 1 citation
    Computer Science · Engineering · #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #Geoscience and Mining Technology #Hydrocarbon exploration and reservoir analysis #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Neural Networks and Applications
  20. A Reinforced Topic-Aware Convolutional Sequence-to-Sequence Model for Abstractive Text Summarization
    2018/05/09 by Li Wang, Wang, Li, Junlin Yao +9 · 1 citation
    Computer Science · #Advanced Text Analysis Techniques #Computation and Language (cs.CL) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Natural Language Processing Techniques #Topic Modeling
  21. A conforming DG method for linear nonlocal models with integrable kernels
    2019/02/24 by Du, Qiang, Yin, Xiaobo · 1 citation
    #45A05 #46N20 #65R20 #74S05 #82C21 #FOS: Mathematics #Numerical Analysis (math.NA)
  22. Discovery of Dynamics Using Linear Multistep Methods
    2019/12/29 by Keller, Rachael, Du, Qiang · 1 citation
    #65L06 #65L09 #65L20 #65P99 #68T99 #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
  23. Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization
    2021/03/17 by Du, Qiang, Mengesha, Tadele, Tian, Xiaochuan · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  24. Nonlocal Trace Spaces and Extension Results for Nonlocal Calculus
    2021/07/01 by Qiang Du, Xiaochuan Tian, Du, Qiang +5 · 1 citation
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Equations and Boundary Problems #Nonlinear Partial Differential Equations
  25. Algorithm for distance list extraction from pair distribution functions
    2019/01/22 by Ran Gu, Gu, Ran, Soham Banerjee +5 · 1 citation
    Chemistry · Physics and Astronomy · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Molecular Sensors and Ion Detection #Spectroscopy and Chemometric Analyses #cond-mat.mtrl-sci
  26. Stochastic representation of solution to nonlocal-in-time diffusion
    2018/10/20 by Du, Qiang, Toniazzi, Lorenzo, Zhou, Zhi · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  27. Discovering State Variables Hidden in Experimental Data
    2021/12/20 by Boyuan Chen, Chen, Boyuan, Kuang Huang +9 · 1 citation
    Computer Science · Physics and Astronomy · #Anomaly Detection Techniques and Applications #Applied Physics (physics.app-ph) #Artificial Intelligence (cs.AI) #Computer Vision and Pattern Recognition (cs.CV) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Electrical engineering #FOS: Mathematics #FOS: Physical sciences #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Systems and Control (eess.SY) #Time Series Analysis and Forecasting #electronic engineering #information engineering
  28. Γ-convergence of Nonlocal Dirichlet Energies With Penalty Formulations of Dirichlet Boundary Data
    2023/09/19 by Gan, Weiye, Du, Qiang, Shi, Zuoqiang · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
  29. Nonlocal problems with local boundary conditions II: Green's identities and regularity of solutions
    2023/08/09 by Scott, James M., Du, Qiang · 1 citation
    #35J20 #45K05 #46E35 #Analysis of PDEs (math.AP) #FOS: Mathematics
  30. DualMS: Implicit Dual-Channel Minimal Surface Optimization for Heat Exchanger Design
    2025/03/02 by Zhang, Weizheng, Pan, Hao, Lu, Lin +4 · 2 citations
    #FOS: Computer and information sciences #FOS: Mathematics #Graphics (cs.GR) #Machine Learning (cs.LG) #Optimization and Control (math.OC)
  31. Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems
    2024/08/14 by Du, Qiang, Ju, Lili, Lu, Jianfang +1 · 1 citation
    #45A05 #65M60 #65R20 #FOS: Mathematics #Numerical Analysis (math.NA)
  32. Error estimates of finite element methods for nonlocal problems using exact or approximated interaction neighborhoods
    2024/09/14 by Qiang Du, Du, Qiang, Hehu Xie +5 · 1 citation
    Engineering · Mathematics · #45A05 #46N20 #46N40 #65R20 #74S05 #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering