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Advances in Applied Mathematics and Mechanics
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  • An Adaptive High-Order Surface Finite Element Method for Polymeric Self-Consistent Field Theory on General Curved Surfaces

    Kai Jiang, Xin Wang, Jianggang Liu, Huayi Wei
    2024-12-02
    14316 1048 Pages:123-147
  • Numerical Optimization and Noise Analysis of High-Tip-Speed Wind Turbine

    Long Wang, Guoping Chen, Tongguang Wang, Jiufa Cao
    2021-07-01
    42815 3802 Pages:1461-1484
  • High-Efficiency Explicit Multistep Schemes for Coupled Second-Order FBSDEs

    Bo Li, Weidong Zhao
    2025-10-14
    4108 288 Pages:322-347
  • A Robust Three-Level Time Split High-Order Leapfrog/Crank-Nicolson Scheme for Two-Dimensional Sobolev and Regularized Long Wave Equations Arising in Fluid Mechanics

    Eric Ngondiep
    2025-03-14
    11029 774 Pages:956-988
  • Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law II: Applications on Complex Curvilinear Meshes

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2019-01-11
    44148 3112 Pages:285-311
  • A Reduced Basis Method for the Nonlinear Poisson-Boltzmann Equation

    Lijie Ji, Yanlai Chen, Zhenli Xu
    2019-06-24
    46360 3206 Pages:1200-1218
  • Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach

    Yuezheng Gong, Qi Hong, Chunwu Wang, Yushun Wang
    2023-06-21
    37945 3118 Pages:1233-1255
  • Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions

    Jia-Le Li, Wai-Sun Don, Cai-Feng Wang, Bao-Shan Wang
    2025-03-14
    11235 796 Pages:804-839
  • Topology Optimization of the Caudal Fin of the Three-Dimensional Self-Propelled Swimming Fish

    Zhiqiang Xin, Chuijie Wu
    2021-07-01
    43432 4351 Pages:732-763
  • A Hybrid Reconstruction Method Based upon the Characteristic Fields Decomposition of Compressible Euler Equations

    Ke Zhang, Yiqing Shen
    2025-09-29
    2298 44 Pages:1761-1788
  • Springback Prediction and Compensation of Elastic-Perfectly Plastic Strip in Multi-Square Punch Forming

    Qiyu Liang, Ling Zhu
    2020-06-01
    50150 3467 Pages:1057-1078
  • Efficient Stochastic Runge-Kutta Methods for Stochastic Differential Equations with Small Noises

    Xiao Tang, Aiguo Xiao
    2018-09-17
    46877 3475 Pages:845-878
  • A New Reduced Basis Method for Parabolic Equations Based on Single-Eigenvalue Acceleration

    Qijia Zhai, Qingguo Hong, Xiaoping Xie
    2024-11-01
    15758 1386 Pages:1328-1357
  • An Extrapolation Cascadic Multigrid Method for Elliptic Problems on Reentrant Domains

    Kejia Pan, Dongdong He, Chuanmiao Chen
    2021-07-01
    42892 3842 Pages:1347-1363
  • A Fully Discrete Explicit Multistep Scheme for Solving Coupled Forward Backward Stochastic Differential Equations

    Ying Liu, Yabing Sun, Weidong Zhao
    2020-04-10
    49940 3367 Pages:643-663
  • A Simplified Lattice Boltzmann Method for Turbulent Flow Simulation

    Lan Jiang, Xiangyu Gu, Jie Wu
    2022-06-13
    43769 3605 Pages:1040-1058
  • Upwind Strategy for Localized Method of Approximate Particular Solutions with Applications to Convection Dominated Diffusion Problems

    Xueying Zhang, Luyu Ran
    2020-12-18
    43454 3240 Pages:455-466
  • The Discontinuous Galerkin Method by Patch Reconstruction for Helmholtz Problems

    Di Li, Min Liu, Xiliang Lu, Jerry Zhijian Yang
    2022-10-24
    44932 3896 Pages:30-48
  • A Fast Cascadic Multigrid Method for Direct Finite Difference Discretizations of 3D Biharmonic Equations on Rectangular Domains

    Kejia Pan, Pengde Wang, Jinxuan Wang, Xiaoxin Wu
    2025-10-14
    4525 278 Pages:170-188
  • Error Analyses of the Single Hidden Layer Neural Network Based on the Extreme Learning Machine for Solving Differential Equations

    Baixue Xing, Hongliang Liu, Haodong Li, Zhenxing Fu
    2025-11-22
    168 4
  • Optimizing Thermal Lattice Boltzmann Method on an MT-3000 Processor with Neo-Heterogeneous Strategies

    Qingyang Zhang, Lei Xu, Rongliang Chen, Hang Zou, Bo Yang, Jingzhi Li, Jie Liu
    2025-11-22
    171 2
  • Improved Symmetry Property of High Order Weighted Essentially Non-Oscillatory Finite Difference Schemes for Hyperbolic Conservation Laws

    Wai Sun Don, Peng Li, Kwun Ying Wong, Zhen Gao
    2021-07-01
    56294 4549 Pages:1418-1439
  • Numerical Simulation of Hose Whip Phenomenon in Hose-Drogue Aerial Refueling

    Lele Chen, Xueqiang Liu, Ning Qin
    2018-09-17
    45635 3143 Pages:517-528
  • Fully Finite Element Adaptive AMG Method for Time-Space Caputo-Riesz Fractional Diffusion Equations

    X. Q. Yue, W. P. Bu, S. Shu, M. H. Liu, S. Wang
    2018-09-17
    45391 3175 Pages:1103-1125
  • Alternating Direction Implicit Finite Element Method for Multi-Dimensional Black-Scholes Models

    Limei Li, Alexander Lapin, Shuhua Zhang
    2019-01-11
    44992 3044 Pages:535-558
  • Numerical Simulation of Non-Linear Schrödinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution

    Yongxing Hong, Jun Lu, Ji Lin, Wen Chen
    2019-01-04
    46110 4988 Pages:108-131
  • High-Order Finite Volume Methods for Aerosol Dynamic Equations

    Ming Cui, Yanxin Su, Dong Liang
    2018-05-05
    41061 3046 Pages:213-235
1 - 27 of 46 items
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