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Advances in Applied Mathematics and Mechanics
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  • High-Efficiency Explicit Multistep Schemes for Coupled Second-Order FBSDEs

    Bo Li, Weidong Zhao
    2025-10-14
    4108 288 Pages:322-347
  • 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
  • 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
  • Improved Sixth-Order WENO Finite Difference Schemes for Hyperbolic Conservation Laws

    Cai-Feng Wang, Wai-Sun Don, Jia-Le Li, Bao-Shan Wang
    2025-09-29
    5129 302 Pages:1591-1624
  • An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations

    Bingyin Zhang, Hongfei Fu, Xueting Liang, Jun Liu, Jiansong Zhang
    2022-08-08
    275646 3715 Pages:1400-1432
  • A Fifth Order Alternative Mapped WENO Scheme for Nonlinear Hyperbolic Conservation Laws

    Uttam Singh Rajput, Krishna Mohan Singh
    2021-11-18
    49800 4422 Pages:275-298
  • High Order Well-Balanced Finite Difference AWENO Scheme for Ripa and Pollutant Transport Systems

    Yue Liu, Zhen Gao, Peng Li, Yaguang Gu
    2024-12-31
    12913 1204 Pages:554-579
  • Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

    Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao
    2018-05-05
    41886 4574 Pages:353-385 Open-access
  • A High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation

    Hu Li, Jin Huang
    2018-05-05
    41914 2908 Pages:393-406
  • 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
  • An Improved WENO-Z+ Scheme

    Ruo Li, Wei Zhong
    2024-12-02
    17562 1105 Pages:31-68
  • An Upwind Mixed Volume Element-Fractional Step Method on a Changing Mesh for Compressible Contamination Treatment from Nuclear Waste

    Changfeng Li, Yirang Yuan, Huailing Song
    2021-07-01
    46374 3884 Pages:1384-1417
  • A Direct Discontinuous Galerkin Method with Interface Correction for the Compressible Navier-Stokes Equations on Unstructured Grids

    Jian Cheng, Huiqiang Yue, Shengjiao Yu, Tiegang Liu
    2018-09-17
    47338 5285 Pages:1-21
  • The LMAPS Using Polynomial Basis Functions for Near-Singular Problems

    Zhengzhi Li, Daniel Watson, Ming Li, Thir Dangal
    2018-09-17
    45166 3158 Pages:1090-1102
  • A Characteristics-Mixed Volume Element Method for the Displacement Problem of Enhanced Oil Recovery

    Yirang Yuan, Aijie Cheng, Changfeng Li, Tongjun Sun, Qing Yang
    2019-06-24
    45405 3243 Pages:1084-1113
  • A Coiflet Wavelet Homotopy Technique for Nonlinear PDEs: Application to the Extreme Bending of Orthotropic Plate with Forced Boundary Constraints

    Qiang Yu, Shuaimin Wang, Junfeng Xiao, Hang Xu
    2023-10-11
    30798 2732 Pages:1473-1514
  • Fourth Order Compact Boundary Value Method for Option Pricing with Jumps

    Spike T. Lee, Hai-Wei Sun
    2021-07-01
    40806 4028 Pages:845-861
  • Numerical Simulation of a Multi-Frequency Resistivity Logging-While-Drilling Tool Using a Highly Accurate and Adaptive Higher-Order Finite Element Method

    Zhonghua Ma, Dejun Liu, Hui Li, Xinsheng Gao
    2012-04-01
    41799 4518 Pages:439-453
  • A Highly Efficient Reduced-Order Extrapolating Model for the 2D Viscoelastic Wave Equation

    Fei Teng, Zhendong Luo
    2020-12-18
    43334 3231 Pages:355-377
  • High-Order Three-Scale Computational Method for Thermoelastic Behavior Analysis of Axisymmetric Composite Structures with Multiple Spatial Scales

    Hao Dong, Junzhi Cui, Yufeng Nie, Zihao Yang, Zhiqiang Yang
    2020-01-17
    46799 3152 Pages:599-642
  • A Numerical Investigation of Richtmyer-Meshkov Instability in Spherical Geometry

    Jinxin Wu, Han Liu, Zuoli Xiao
    2019-04-16
    49472 3181 Pages:583-597
  • 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
  • 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
  • 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 Reduced Basis Method for the Nonlinear Poisson-Boltzmann Equation

    Lijie Ji, Yanlai Chen, Zhenli Xu
    2019-06-24
    46360 3206 Pages:1200-1218
  • Two-Relaxation-Time Regularized Lattice Boltzmann Model for Navier-Stokes Equations

    Yuan Yu, Zuojian Qin, Siwei Chen, Shi Shu, Haizhuan Yuan
    2024-12-31
    13202 1211 Pages:489-516
  • A Maximum-Principle-Preserving Third Order Finite Volume SWENO Scheme on Unstructured Triangular Meshes

    Yunrui Guo, Lingyan Tang, Hong Zhang, Songhe Song
    2018-09-17
    47079 6152 Pages:114-137
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