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  • A Fast Accurate Boundary Integral Method for Potentials on Closely Packed Cells

    Wenjun Ying & J. Thomas Beale
    2013-10-05
    37987 3913 Pages:1073-1093
  • A TV-Based Iterative Regularization Method for the Solutions of Thermal Convection Problems

    Eric T. Chung & Jeff C.-F. Wong
    2013-10-05
    39450 3767 Pages:1120-1146
  • A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

    Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise
    2021-12-06
    49256 4172 Pages:60-93 Open-access
  • Shallow Water Moment Models for Bedload Transport Problems

    José Garres-Díaz, Manuel J. Castro Díaz, Julian Koellermeier, Tomás Morales de Luna
    2021-07-01
    49125 3178 Pages:903-941
  • Enforcing Imprecise Constraints on Generative Adversarial Networks for Emulating Physical Systems

    Yang Zeng, Jin-Long Wu, Heng Xiao
    2021-07-01
    49181 3239 Pages:635-665
  • Nearly Singular Integrals in 3D Stokes Flow

    Svetlana Tlupova & J. Thomas Beale
    2013-11-05
    40345 3908 Pages:1207-1227
  • A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

    Yonghong Hao, Qiumei Huang, Cheng Wang
    2021-01-13
    47156 3442 Pages:905-929
  • 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
  • Construction and Analysis of an Adapted Spectral Finite Element Method to Convective Acoustic Equations

    Andreas Hüppe, Gary Cohen, Sébastien Imperiale, Manfred Kaltenbacher
    2018-04-04
    42836 5071 Pages:1-22
  • A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

    Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang
    2020-07-21
    49155 3215 Pages:967-998
  • A Simple Method for Computing Singular or Nearly Singular Integrals on Closed Surfaces

    J. Thomas Beale, Wenjun Ying & Jason R. Wilson
    2018-04-04
    40719 3190 Pages:733-753
  • Decoupled, Energy Stable Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Logarithmic Flory-Huggins Potential

    Hong-En Jia, Ya-Yu Guo, Ming Li, Yunqing Huang, Guo-Rui Feng
    2020-02-23
    48379 3215 Pages:1053-1075
  • An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

    Kelong Cheng, Cheng Wang, Steven M. Wise
    2019-08-27
    50564 3535 Pages:1335-1364
  • Numerical Analysis of Inverse Elasticity Problem with Signorini's Condition

    Cong Zheng, Xiaoliang Cheng & Kewei Liang
    2018-04-04
    40514 3178 Pages:1045-1070
  • An Explicit Formula for Two-Dimensional Singly-Periodic Regularized Stokeslets Flow Bounded by a Plane Wall

    Forest O. Mannan & Ricardo Cortez
    2018-07-03
    47412 6148 Pages:142-167
  • Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

    Jie Shen & Jie Xu
    2018-09-17
    48019 4743 Pages:635-654 Open-access
  • Accurate p$K_a$ Computation Using Matched Interface and Boundary (MIB) Method Based Poisson-Boltzmann Solver

    Jingzhen Hu, Shan Zhao & Weihua Geng
    2018-08-21
    47281 3237 Pages:520-539
  • On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

    Yeonjong Shin, Jérôme Darbon, George Em Karniadakis
    2020-11-18
    88478 4440 Pages:2042-2074
  • RLC Equivalent Circuit Synthesis Method for Structure-Preserved Reduced-Order Model of Interconnect in VLSI

    Fan Yang, Xuan Zeng, Yangfeng Su & Dian Zhou
    2018-03-24
    39601 4030 Pages:376-396
  • Total Variation Distance-Enhanced Selective Segmentation for Medical Images

    Po-Wen Hsieh, Chung-Lin Tseng, Suh-Yuh Yang
    2025-11-07
    2624 112 Pages:215-239
  • Vortex Spline Method for Two-Dimensional Rayleigh-Taylor Interfaces Between Inviscid and Perfect Dielectric Fluids with External Electric Fields

    Wenxuan Guo, Qiang Zhang
    2025-11-07
    2590 96 Pages:78-118
  • A Splitting Method for Nonlinear Filtering Problems with Diffusive and Point Process Observations

    Fengshan Zhang, Yongkui Zou, Shimin Chai, Yanzhao Cao
    2024-10-29
    142 57 Pages:996-1020
  • Learning PDEs from Data on Closed Surfaces with Sparse Optimization

    Zhengjie Sun, Leevan Ling, Ran Zhang
    2025-09-02
    182 58 Pages:289-314
  • Stability Analysis of the Immersed Boundary Method for a Two-Dimensional Membrane with Bending Rigidity

    Zhaoxin Gong, Huaxiong Huang & Chuanjing Lu
    2008-03-01
    38661 3806 Pages:704-723
  • A Fast Solver for an $\mathcal{H}_1$ Regularized PDE-Constrained Optimization Problem

    Andrew T. Barker, Tyrone Rees & Martin Stoll
    2018-04-03
    39961 4495 Pages:143-167
  • Boundary Control Problems in Convective Heat Transfer with Lifting Function Approach and Multigrid Vanka-Type Solvers

    Eugenio Aulisa, Giorgio Bornia & Sandro Manservisi
    2018-04-03
    39612 3093 Pages:621-649
  • A Fast Semi-Implicit Level Set Method for Curvature Dependent Flows with an Application to Limit Cycles Extraction in Dynamical Systems

    Guoqiao You & Shingyu Leung
    2018-04-03
    42502 5226 Pages:203-229
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