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  • Image Charge Method for Reaction Fields in a Hybrid Ion-Channel Model

    Zhenli Xu, Wei Cai & Xiaolin Cheng
    2011-09-01
    38296 3896 Pages:1056-1070
  • Reduced Basis Approximation and Error Bounds for Potential Flows in Parametrized Geometries

    Gianluigi Rozza
    2011-09-01
    39028 4837 Pages:1-48 Open-access
  • A Monotonic Algorithm for Eigenvalue Optimization in Shape Design Problems of Multi-Density Inhomogeneous Materials

    Zheng-fang Zhang, Ke-wei Liang & Xiao-liang Cheng
    2010-08-01
    40959 4099 Pages:565-584
  • A Pressure Relaxation Closure Model for One-Dimensional, Two-Material Lagrangian Hydrodynamics Based on the Riemann Problem

    James R. Kamm & Mikhail J. Shashkov
    2010-07-01
    38806 4285 Pages:927-976
  • Simulation of Spherulite Growth Using a Comprehensive Approach to Modeling the First-Order Isotropic/Smectic-A Mesophase Transition

    Nasser Mohieddin Abukhdeir & Alejandro D. Rey
    2018-03-24
    38795 4046 Pages:301-316
  • Quasi-Lagrangian Acceleration of Eulerian Methods

    Igor Kliakhandler & Alexander Kurganov
    2009-06-01
    37743 3978 Pages:743-757
  • Enforcing the Discrete Maximum Principle for Linear Finite Element Solutions of Second-Order Elliptic Problems

    Richard Liska & Mikhail Shashkov
    2008-03-01
    37890 4103 Pages:852-877
  • An Efficient Real Space Method for Orbital-Free Density-Functional Theory

    C. J. GarcĂ­a-Cervera
    2018-03-24
    39697 3692 Pages:334-357
  • Radar Cross Section Reduction of a Cavity in the Ground Plane

    Gang Bao & Jun Lai
    2020-07-31
    41151 4183 Pages:895-910
  • Improved Randomized Neural Network Methods with Boundary Processing for Solving Elliptic Equations

    Huifang Zhou, Zhiqiang Sheng
    2025-11-07
    2596 119 Pages:147-184
  • Accurate Adaptive Deep Learning Method for Solving Elliptic Problems

    Jinyong Ying, Yaqi Xie, Jiao Li, Hongqiao Wang
    2025-09-02
    367 59 Pages:849-876
  • A Fast Offline/Online Forward Solver for Stationary Transport Equation with Multiple Inflow Boundary Conditions and Varying Coefficients

    Jingyi Fu, Min Tang
    2025-09-02
    182 69 Pages:457-497
  • Finding Similarity of Orbits Between Two Discrete Dynamical Systems via Optimal Principle

    Yuting Chen, Yong Li
    2025-09-02
    182 39 Pages:521-546
  • Towards Translational Invariance of Total Energy with Finite Element Methods for Kohn-Sham Equation

    Gang Bao, Guanghui Hu & Di Liu
    2018-04-03
    41625 4662 Pages:1-23
  • A Minimum Action Method with Optimal Linear Time Scaling

    Xiaoliang Wan
    2020-07-30
    39656 3303 Pages:1352-1379
  • A Differential Algebraic Method for the Solution of the Poisson Equation for Charged Particle Beams

    B. Erdelyi, E. Nissen & S. Manikonda
    2018-04-02
    42777 4495 Pages:47-78
  • Synchronization of Weighted Essentially Non-Oscillatory Methods

    Ellen M. Taylor & M. Pino Martin
    2008-04-01
    38357 4126 Pages:56-71
  • A Stochastic Gradient Descent Method for Computational Design of Random Rough Surfaces in Solar Cells

    Qiang Li, Gang Bao, Yanzhao Cao, Junshan Lin
    2023-12-11
    31100 2580 Pages:1361-1390
  • Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems

    Haoxiang Huang, Vigor Yang, Yingjie Liu
    2023-11-08
    76945 3630 Pages:907-933
  • A Distributed Optimal Control Problem with Averaged Stochastic Gradient Descent

    Qi Sun, Qiang Du
    2020-07-30
    46516 3703 Pages:753-774
  • Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part I: 1D Problems

    Haoxiang Huang, Vigor Yang, Yingjie Liu
    2023-09-04
    35379 2818 Pages:290-317
  • Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

    Shamsulhaq Basir
    2023-06-06
    41484 2933 Pages:1240-1269
  • Saturation-Value Blind Color Image Deblurring with Geometric Spatial-Feature Prior

    Hao Zhang, Yingying Fang, Hok Shing Wong, Lihua Li, Tieyong Zeng
    2023-04-28
    33253 2886 Pages:795-823
  • Generalization Error Analysis of Neural Networks with Gradient Based Regularization

    Lingfeng Li, Xue-Cheng Tai, Jiang Yang
    2022-10-28
    45537 3242 Pages:1007-1038
  • Numerical Identification of Nonlocal Potentials in Aggregation

    Yuchen He, Sung Ha Kang, Wenjing Liao, Hao Liu, Yingjie Liu
    2022-09-29
    41502 3291 Pages:638-670
  • Learning Invariant Representation of Multiscale Hyperelastic Constitutive Law from Sparse Experimental Data

    Rui He, Junzhi Cui, Zihao Yang, Jieqiong Zhang, Xiaofei Guan
    2023-09-04
    34022 2764 Pages:392-417
  • A Modeling Framework for Coupling Plasticity with Species Diffusion

    M. S. Joshaghani, K. B. Nakshatrala
    2022-07-06
    43677 3595 Pages:83-125
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