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  • Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity

    Weizhu Bao, Yue Feng, Wenfan Yi
    2019-08-27
    48115 3492 Pages:1307-1334
  • Ground States and Energy Asymptotics of the Nonlinear Schrödinger Equation with a General Power Nonlinearity

    Xinran Ruan & Wenfan Yi
    2020-07-31
    43659 3232 Pages:1121-1142
  • Fully-Coupled Multi-Physical Simulation with Physics-Based Nonlinearity-Elimination Preconditioned Inexact Newton Method for Enhanced Oil Recovery

    Huiying Tang, Shihao Wang, Congbin Yin, Yuan Di, Yu-Shu Wu & Yonghong Wang
    2018-09-01
    46000 5395 Pages:244-265
  • Quinpi: Integrating Stiff Hyperbolic Systems with Implicit High Order Finite Volume Schemes

    Gabriella Puppo, Matteo Semplice, Giuseppe Visconti
    2024-07-29
    26820 1732 Pages:30-70
  • The Approximate Solutions of FPK Equations in High Dimensions for Some Nonlinear Stochastic Dynamic Systems

    Guo-Kang Er & Vai Pan Iu
    2011-10-01
    39170 4133 Pages:1241-1256
  • Continuation Finite Element Simulation of Second Harmonic Generation in Photonic Crystals

    Gang Bao, Zhengfu Xu & Jianhua Yuan
    2011-10-01
    39328 4342 Pages:57-69
  • Picard-Newton Iterative Method with Time Step Control for Multimaterial Non-Equilibrium Radiation Diffusion Problem

    Jingyan Yue & Guangwei Yuan
    2011-10-01
    40312 4267 Pages:844-866
  • Period Multiplication in a Continuous Time Series of Radio-Frequency DBDs at Atmospheric Pressure

    Jiao Zhang, Yanhui Wang & Dezhen Wang
    2020-07-31
    39506 3866 Pages:1226-1235
  • Second-Order Two-Scale Analysis Method for the Heat Conductive Problem with Radiation Boundary Condition in Periodical Porous Domain

    Qiang Ma & Junzhi Cui
    2013-10-05
    38305 3808 Pages:1027-1057
  • Pressure Distribution of the Gaseous Flow in Microchannel: A Lattice Boltzmann Study

    Zimian Xu & Zhaoli Guo
    2013-10-05
    38604 3848 Pages:1058-1072
  • A Parallel Computational Model for Three-Dimensional, Thermo-Mechanical Stokes Flow Simulations of Glaciers and Ice Sheets

    Wei Leng, Lili Ju, Max Gunzburger & Stephen Price
    2014-10-08
    42614 4255 Pages:1056-1080
  • New Splitting Methods for Convection-Dominated Diffusion Problems and Navier-Stokes Equations

    Feng Shi, Guoping Liang, Yubo Zhao & Jun Zou
    2014-11-08
    41223 3898 Pages:1239-1262
  • The Nonlinear Dynamic Behaviors of Electrostatic Micro-Tweezers

    Bo-Wun Huang, Chao-Jung Chen & Jao-Hwa Kuang
    2018-09-17
    44827 5006 Pages:253-267
  • Numerical Method of Profile Reconstruction for a Periodic Transmission Problem from Single-Sided Data

    Mingming Zhang & Junliang Lv
    2018-09-17
    45486 3439 Pages:435-453
  • Discontinuous Bubble Immersed Finite Element Method for Poisson-Boltzmann Equation

    In Kwon & Do Y. Kwak
    2018-11-09
    48156 3449 Pages:928-946
  • Linear and Unconditionally Energy Stable Schemes for the Multi-Component Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State

    Chenfei Zhang, Hongwei Li, Xiaoping Zhang, Lili Ju
    2019-07-02
    46063 3305 Pages:1071-1097
  • A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

    Xi-An Li, Zhi-Qin John Xu, Lei Zhang
    2020-11-18
    67253 3664 Pages:1886-1906
  • Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

    Menghuan Liu, Shi Shu, Guangwei Yuan, Xiaoqiang Yue
    2021-08-10
    47597 3210 Pages:1185-1215
  • Numerical Calculation of Monotonicity Properties of the Blow-Up Time of NLS

    Hans Peter Stimming
    2018-04-11
    41021 3498 Pages:745-759
  • A Class of Second-Order Energy-Stable Schemes for the Cahn-Hilliard Equation and Their Linear Iteration Algorithm

    Xiaohan Zhu, Yuezheng Gong, Yushun Wang
    2025-09-05
    3601 327 Pages:1210-1236
  • Robust Decoding from Binary Measurements with Cardinality Constraint Least Squares

    Zhao Ding, Junjun Huang, Yuling Jiao, Xiliang Lu, Jerry Zhijian Yang
    2025-09-18
    4397 311 Pages:1389-1416
  • Physically Guided Neural Network Based on Transfer Learning (TL-PGNN) for Hypersonic Heat Flux Prediction

    Biao Chen, Jifa Zhang, Shuai Zhang, Xiaoxiao Song, Yao Zheng
    2024-10-09
    15977 1246 Pages:651-672
  • Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains

    Jihong Wang, Xin Wang, Jing Li, Bin Liu
    2025-05-29
    8885 481 Pages:1383-1416
  • Enhanced Second-Order Gauss-Seidel Projection Methods for the Landau-Lifshitz Equation

    Panchi Li, Xiao-Ping Wang
    2026-01-03
    1695 79 Pages:799-814
  • Analysis of a Mixed Finite Element Method for Stochastic Cahn-Hilliard Equation with Multiplicative Noise

    Yukun Li, Corey Prachniak, Yi Zhang
    2024-05-06
    27937 1985 Pages:1003-1028
  • An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems

    Qiuqi Li, Chang Liu, Mengnan Li, Pingwen Zhang
    2024-01-31
    29410 2799 Pages:38-69
  • Ghost-Fluid-Based Sharp Interface Methods for Multi-Material Dynamics: A Review

    Liang Xu, Tiegang Liu
    2023-10-07
    36127 2959 Pages:563-612
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