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Advances in Applied Mathematics and Mechanics
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  • Symplectic Euler Method for Nonlinear High Order Schrödinger Equation with a Trapped Term

    Fangfang Fu, Linghua Kong, Lan Wang
    2018-08-10
    41056 4093 Pages:699-710
  • A Fast Spatial Two-Grid Raviart-Thomas MFE Algorithm for the Nonlinear Time Fractional Diffusion Equations on Temporal Graded Mesh

    Zhichao Fang, Shubin Dong, Jie Zhao, Hong Li
    2025-11-28
    93 3
  • A Spectral Time-Domain Method for Computational Electrodynamics

    James V. Lambers
    2021-07-01
    40617 4083 Pages:781-798
  • Stability of Two Conservative, High-Order Fluid-Fluid Coupling Methods

    Jeffrey M. Connors, Robert D. Dolan
    2021-07-01
    64106 4585 Pages:1287-1338
  • A High-Order Discontinuous Galerkin Method for the Two-Dimensional Time-Domain Maxwell's Equations on Curved Mesh

    Hongqiang Lu, Yida Xu, Yukun Gao, Wanglong Qin, Qiang Sun
    2018-05-05
    44347 4626 Pages:104-116
  • Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

    Qing Cheng, Cheng Wang
    2021-11-17
    118609 5935 Pages:1318-1354
  • 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
  • Positive and Conservative Characteristic Block-Centered Finite Difference Methods for Convection Dominated Diffusion Equations

    Xinshu Li, Kai Fu
    2022-06-13
    42234 3547 Pages:1087-1110
  • A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

    Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang
    2018-09-17
    44063 4798 Pages:242-260
  • Cell-Average Based Neural Network Method for Hunter-Saxton Equations

    Chunjie Zhang, Changxin Qiu, Xiaofang Zhou, Xiaoming He
    2024-05-14
    26270 2408 Pages:833-859
  • Numerical Method for the Time Fractional Fokker-Planck Equation

    Xue-Nian Cao, Jiang-Li Fu, Hu Huang
    2021-07-01
    42765 4207 Pages:848-863
  • Modified Two-Grid Algorithm for Nonlinear Power-Law Conductivity in Maxwell's Problems with High Accuracy

    Changhui Yao, Yanfei Li
    2020-12-18
    43303 3150 Pages:481-502
  • A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem

    Jiansong Zhang, Yue Yu, Rong Qin, Zhaohui Liu
    2023-12-21
    25840 2233 Pages:164-180
  • Edge Detectors Based on Pauta Criterion with Application to Hybrid Compact-WENO Finite Difference Scheme

    Chunhua Zhang, Zhen Gao, Sa Ye, Peng Li
    2023-10-11
    71719 3037 Pages:1379-1406
  • Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

    Huiqin Zhang, Yanping Chen, Jianwei Zhou, Yang Wang
    2024-07-22
    26270 2390 Pages:1197-1222
  • Lattice Boltzmann Model for a Class of Viscous Wave Equation

    Qianhuan Li, Zhenhua Chai, Baochang Shi
    2024-12-31
    12947 1183 Pages:440-453
  • Effect of Nonuniform Grids on High-Order Finite Difference Method

    Dan Xu, Xiaogang Deng, Yaming Chen, Guangxue Wang, Yidao Dong
    2018-05-05
    40777 2846 Pages:1012-1034
  • A High-Order Well-Balanced Discontinuous Galerkin Method Based on the Hydrostatic Reconstruction for the Ripa Model

    Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao, Qiang Niu
    2021-07-01
    48037 4043 Pages:1416-1437
  • Piecewise Spectral Collocation Method for Second Order Volterra Integro-Differential Equations with Nonvanishing Delay

    Zhenrong Chen, Yanping Chen, Yunqing Huang
    2022-08-08
    288583 3985 Pages:1333-1356
  • Numerical Analysis of Stabilized Second Order Semi-Implicit Finite Element Methods for the Phase-Field Equations

    Congying Li, Liang Tang, Jie Zhou
    2024-02-29
    27479 2722 Pages:667-691
  • Numerical Assessment of Criteria for Mesh Adaptation in the Finite Volume Solution of Shallow Water Equations

    Imad Kissami, Mohammed Seaid, Fayssal Benkhaldoun
    2020-01-17
    77695 3570 Pages:503-526
  • A Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen–Cahn Equation with a General Mobility

    Dianming Hou, Lili Ju, Zhonghua Qiao
    2024-07-22
    33439 2463 Pages:1009-1038
  • Structure-Preserving Exponential Schemes with High Accuracy for the 2D/3D Nonlinear Schrödinger Type Equation

    Yayun Fu, Hongliang Liu
    2025-05-12
    8359 515 Pages:1088-1110
  • Local Collocation Approach for Solving Turbulent Combined Forced and Natural Convection Problems

    Robert Vertnik, Božidar Šarler
    2021-01-21
    40733 4376 Pages:259-279
  • Alternating Cell Direction Implicit Method Using Approximate Factorization on Hybrid Grids

    Ali Ruhşen Çete, Oğuz Kaan Onay
    2022-02-25
    47957 3211 Pages:539-576
  • A Novel B-Spline Method for Modeling Transport Problems in Anisotropic Inhomogeneous Media

    Sergiy Reutskiy, Ji Lin, Bin Zheng, Jiyou Tong
    2020-12-21
    47424 3118 Pages:590-618
  • A Reduced Basis Method for the Nonlinear Poisson-Boltzmann Equation

    Lijie Ji, Yanlai Chen, Zhenli Xu
    2019-06-24
    46360 3206 Pages:1200-1218
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