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Advances in Applied Mathematics and Mechanics
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  • Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations

    Xiangyi Meng, Yan Xu, J. J. W. Van der Vegt
    2025-10-14
    4535 261 Pages:134-169
  • Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations

    Hongliang Liu, Yameng Zhang, Haodong Li, Shoufu Li
    2022-08-08
    297911 4316 Pages:1276-1301
  • A Numerical Study of Integrated Linear Reconstruction for Steady Euler Equations Based on Finite Volume Scheme

    Guanghui Hu, Ruo Li, Xucheng Meng
    2024-01-04
    27984 2638 Pages:279-304
  • The Convergence of Euler-Maruyama Method of Nonlinear Variable-Order Fractional Stochastic Differential Equations

    Shanshan Xu, Lin Wang, Wenqiang Wang
    2023-04-11
    38497 3190 Pages:852-879
  • Stability and Unstability of the Standing Wave to Euler Equations

    Xiuli Tang, Xiuqing Wang, Ganshan Yang
    2018-05-05
    42221 3004 Pages:818-838
  • 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
  • The Modified Ghost Fluid Method Applied to Fluid-Elastic Structure Interaction

    Tiegang Liu, A. W. Chowdhury, Boo Cheong Khoo
    2011-03-01
    39899 3922 Pages:611-632
  • A Truncated-Type Explicit Numerical Method for the Stochastic Allen-Cahn Equation

    Weijun Zhan, Qian Guo
    2024-12-02
    14054 1105 Pages:295-314
  • Adjoint-Based Adaptive Isogeometric Discontinuous Galerkin Method for Euler Equations

    Shengjiao Yu, Renzhong Feng, Huiqiang Yue, Zheng Wang, Tiegang Liu
    2018-09-17
    44540 3165 Pages:652-672
  • A Well-Balanced Kinetic Scheme for Gas Dynamic Equations under Gravitational Field

    Kun Xu, Jun Luo, Songze Chen
    2010-02-01
    41438 3822 Pages:200-210
  • Bifurcation and Chaos of Functionally Graded Carbon Nanotube Reinforced Composite Beam with Piezoelectric Layer

    Jinhua Yang, Gaofeng Sun, Jie Yang
    2020-12-21
    46132 3088 Pages:569-589
  • Strong Converge Order of the General One-Step Method for Neutral Stochastic Delay Differential Equations under a Global Monotone Condition

    Chao Yue, Haoyong Zhuang, Longbin Zhao
    2025-09-29
    5032 250 Pages:1654-1681
  • A Priori Error Analysis of an Euler Implicit, Finite Element Approximation of the Unsteady Darcy Problem in an Axisymmetric Domain

    Ajmia Younes Orfi, Driss Yakoubi
    2018-09-17
    44766 3155 Pages:301-321
  • Penalty Finite Element Method for the 2D/3D Unsteady Incompressible Thermomicropolar Fluid Equations

    Junru Guo, Demin Liu
    2025-07-19
    7516 462 Pages:1509-1549
  • A Parallel Finite Element Algorithm for the Unsteady Oseen Equations

    Qi Ding, Yueqiang Shang
    2021-11-17
    48581 4133 Pages:1501-1519
  • Unconditional Optimal Error Estimates for the Transient Navier-Stokes Equations with Damping

    Minghao Li, Zhenzhen Li, Dongyang Shi
    2021-11-18
    47685 4241 Pages:248-274
  • Osher Flux with Entropy Fix for Two-Dimensional Euler Equations

    Huajun Zhu, Xiaogang Deng, Meiliang Mao, Huayong Liu, Guohua Tu
    2018-05-05
    41344 2875 Pages:670-692
  • Error Analysis of a New Euler Semi-Implicit Time-Discrete Scheme for the Incompressible MHD System with Variable Density

    Yuan Li, Xuewei Cui
    2024-12-02
    13939 1092 Pages:263-294
  • Finite Element Methods for Nonlinear Backward Stochastic Partial Differential Equations and Their Error Estimates

    Xu Yang, Weidong Zhao
    2021-07-01
    47878 4145 Pages:1457-1480
  • Optimal Convergence Rate of $\theta$--Maruyama Method for Stochastic Volterra Integro-Differential Equations with Riemann--Liouville Fractional Brownian Motion

    Mengjie Wang, Xinjie Dai, Aiguo Xiao
    2021-11-18
    49427 4323 Pages:202-217
  • A Conservative Gradient Discretization Method for Parabolic Equations

    Huifang Zhou, Zhiqiang Sheng, Guangwei Yuan
    2020-10-20
    48469 4333 Pages:232-260
  • Error Estimate and Superconvergence of a High-Accuracy Difference Scheme for Solving Parabolic Equations with an Integral Two-Space-Variables Condition

    Liping Zhou, Shi Shu, Haiyuan Yu
    2018-09-17
    43913 3154 Pages:362-389
  • Superconvergence Analysis for the Maxwell's Equations in Debye Medium with a Thermal Effect

    Changhui Yao, Dongyang Shi, Mengmeng Hou
    2020-03-06
    48073 4953 Pages:141-163
  • 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
  • Waves Induced by the Appearance of Single-Point Heat Source in Constant Flow

    Changsheng Yu, Tiegang Liu & Chengliang Feng
    2022-04-11
    44066 3564 Pages:989-1016
  • The Formulation of Finite Difference Hermite RBF-WENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique

    Rooholah Abedian
    2025-05-12
    8325 494 Pages:1275-1309
  • A Moving Mesh Method for Kinetic/Hydrodynamic Coupling

    Zhicheng Hu, Heyu Wang
    2021-07-01
    43212 4199 Pages:685-702
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