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Advances in Applied Mathematics and Mechanics
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  • A High Accuracy Numerical Method and Error Analysis for Fourth Order Elliptic Eigenvalue Problems in Circular Domain

    Yixiao Ge, Ting Tan, Jing An
    2020-04-10
    46140 3294 Pages:815-834
  • An Upwind Mixed Finite Element Method on Changing Meshes for Positive Semi-Definite Oil-Water Displacement of Darcy-Forchheimer Flow in Porous Media

    Yirang Yuan, Huailing Song, Changfeng Li, Tongjun Sun
    2020-07-24
    49484 3268 Pages:1196-1223
  • The Modified Localized Method of Approximated Particular Solutions for Linear and Nonlinear Convection-Diffusion-Reaction PDEs

    Wen Li, Kalani Rubasinghe, Guangming Yao, L. H. Kuo
    2020-07-24
    44555 3282 Pages:1113-1136
  • New Finite Volume Mapped Unequal-Sized WENO Scheme for Hyperbolic Conservation Laws

    Yan Zhang, Jun Zhu
    2024-01-04
    26800 2430 Pages:459-492
  • 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
  • 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 Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography

    Nouh Izem, Mohammed Seaid
    2022-02-25
    47360 3264 Pages:725-758
  • High-Order Well-Balanced Finite Volume WENO Schemes with Conservative Variables Decomposition for Shallow Water Equations

    Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao
    2021-04-13
    44910 3214 Pages:827-849
  • A Splitting Method for the Degasperis-Procesi Equation Using an Optimized WENO Scheme and the Fourier Pseudospectral Method

    Yunrui Guo, Wenjing Yang, Hong Zhang, Ji Wang, Songhe Song
    2019-01-04
    47416 5050 Pages:53-71
  • A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation

    Guofei Pang, Wen Chen, Kam Yim Sze
    2018-05-05
    43675 4554 Pages:166-186
  • Stability of Two Conservative, High-Order Fluid-Fluid Coupling Methods

    Jeffrey M. Connors, Robert D. Dolan
    2021-07-01
    64106 4585 Pages:1287-1338
  • 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
  • A Simplified Lattice Boltzmann Method Without Evolution of Distribution Function

    Z. Chen, C. Shu, Y. Wang, L. M. Yang, D. Tan
    2018-05-05
    44688 5340 Pages:1-22
  • Integrating Krylov Deferred Correction and Generalized Finite Difference Methods for Dynamic Simulations of Wave Propagation Phenomena in Long-Time Intervals

    Wenzhen Qu, Hongwei Gao, Yan Gu
    2021-11-17
    50669 4117 Pages:1398-1417
  • Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model

    Hui Wang, Hui Guo, Jiansong Zhang, Lulu Tian
    2023-12-21
    26526 2309 Pages:208-236
  • Radially Symmetrical Problems for Compressible Fluids with a High-Resolution Boundary Condition

    Zijin Zhu, Xiaoyan Hu, Guoxi Ni
    2022-12-13
    39824 3065 Pages:428-449
  • 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
  • Application of Lattice Boltzmann Method to Simulate Forest Edge

    Jie Wei, Jianjun Wu, An Jiang, Kun Wan
    2022-12-13
    39448 3049 Pages:376-401
  • A Node-Based Smoothed Finite Element Method with Linear Gradient Fields for Elastic Obstacle Scattering Problems

    Junhong Yue, Yu Wang, Yan Li, Ming Li
    2023-10-11
    31276 2985 Pages:1562-1601
  • A New Well-Balanced Finite Volume CWENO Scheme for Shallow Water Equations over Bottom Topography

    Wei Guo, Ziming Chen, Shouguo Qian, Gang Li, Qiang Niu
    2023-10-11
    32079 2815 Pages:1515-1539
  • Evaluation of Pressure Boundary Conditions for Permeability Calculations Using the Lattice-Boltzmann Method

    Ariel Narváez, Jens Harting
    2021-01-25
    40995 4078 Pages:685-700
  • An Efficient Numerical Solution Method for Elliptic Problems in Divergence Form

    Ali Abbas
    2014-06-01
    41809 4239 Pages:327-344
  • A Spectral Time-Domain Method for Computational Electrodynamics

    James V. Lambers
    2021-07-01
    40617 4083 Pages:781-798
  • Local RBFs Based Collocation Methods for Unsteady Navier-Stokes Equations

    Xueying Zhang, Xin An, C. S. Chen
    2018-05-05
    41256 3091 Pages:430-440
  • A Well-Balanced Weighted Compact Nonlinear Scheme for Pre-Balanced Shallow Water Equations

    Mingyang Cheng, Lingyan Tang, Yaming Chen, Songhe Song
    2022-06-13
    42256 3537 Pages:1181-1200
  • 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
  • Using Gaussian Eigenfunctions to Solve Boundary Value Problems

    Michael McCourt
    2021-01-13
    42983 4285 Pages:569-594
55 - 81 of 82 items
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