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Advances in Applied Mathematics and Mechanics
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  • 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
  • On the Fully Implicit Solution of a Phase-Field Model for Binary Alloy Solidification in Three Dimensions

    Christopher E. Goodyer, Peter K. Jimack, Andrew M. Mullis, Hongbiao Dong, Yu Xie
    2021-07-01
    43316 4293 Pages:665-684
  • A Consistent Characteristic Boundary Condition for General Fluid Mixture and Its Implementation in a Preconditioning Scheme

    Hua-Guang Li, Nan Zong, Xi-Yun Lu, Vigor Yang
    2012-04-01
    42726 5057 Pages:72-92
  • Modelling and Numerical Valuation of Power Derivatives in Energy Markets

    Mai Huong Nguyen, Matthias Ehrhardt
    2012-04-01
    41156 5064 Pages:259-293 Open-access
  • 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
  • Two-Grid Crank-Nicolson Finite Volume Element Method for the Time-Dependent Schrödinger Equation

    Chuanjun Chen, Yuzhi Lou, Tong Zhang
    2022-08-08
    284711 3905 Pages:1357-1380
  • High Order Efficient Algorithm for Computation of MHD Flow Ensembles

    Muhammad Mohebujjaman
    2022-06-13
    43098 3456 Pages:1111-1137
  • 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
  • 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
  • A Parallel Finite Element Algorithm for the Unsteady Oseen Equations

    Qi Ding, Yueqiang Shang
    2021-11-17
    48581 4133 Pages:1501-1519
  • 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
  • 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
  • Direct Numerical Simulations of Self-Sustained Oscillations in Two-Dimensional Open Cavity for Subsonic and Supersonic Flow

    Yong Luo, Hu Li, Shuaibin Han, Shuhai Zhang
    2021-04-13
    44530 3137 Pages:942-965
  • A Class of Robust Low Dissipation Nested Multi-Resolution WENO Schemes for Solving Hyperbolic Conservation Laws

    Zhenming Wang, Jun Zhu, Yuchen Yang, Linlin Tian, Ning Zhao
    2021-06-08
    45960 3170 Pages:1064-1095
  • A Fast High Order Iterative Solver for the Electromagnetic Scattering by Open Cavities Filled with the Inhomogeneous Media

    Meiling Zhao
    2013-05-01
    41591 4231 Pages:235-257
  • A Direct-Forcing Immersed Boundary Projection Method for Thermal Fluid-Solid Interaction Problems

    Cheng-Shu You, Po-Wen Hsieh, Suh-Yuh Yang
    2022-10-24
    43685 4155 Pages:1-29
  • Investigating Droplet and Bubble Deformation under Shear Flow Using the Multi-Pseudo-Potential Scheme of Lattice Boltzmann Method

    Raheleh Sharifi, Mostafa Varmazyar, Arash Mohammadi
    2024-01-04
    26551 2298 Pages:519-548
  • A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows

    Adyllyson H. Nascimento, EugĂȘnio S. Rosa
    2023-12-21
    26519 2291 Pages:47-74
  • A Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems

    Tao Zhang, Xiaolin Li
    2023-12-21
    26791 2564 Pages:24-46
  • Mechanisms for Stabilizing Thermal Lattice Boltzmann Equation and Their Applications for Convection-Diffusion Problem on Nonuniform Meshes

    Jinhua Lu
    2025-09-29
    5015 251 Pages:1715-1741
  • High-Efficiency Explicit Multistep Schemes for Coupled Second-Order FBSDEs

    Bo Li, Weidong Zhao
    2025-10-14
    4108 288 Pages:322-347
  • The Generalized Riemann Problem for Two-Layer Shallow Water Equations with Two-Velocities

    Shuzhi Liu, Qinglong Zhang
    2025-10-14
    4382 261 Pages:242-266
  • A Conservative Sharp Interface Method for Compressible Two-Medium Flows on Unstructured Triangular Meshes

    Tiao Lu, Xingchun Yu, Wenqi Yao
    2025-11-22
    149 4
  • A Ciarlet-Raviart Mixed Finite Element Method for Optimal Control Problems Governed by a Fourth Order Bi-Wave Equation

    Hongbo Guan, Wen Liu, Yong Yang
    2025-11-22
    158 3
  • Quadratic Finite Volume Method for a Nonlinear Elliptic Problem

    Yanwei Du, Yonghai Li, Zhiqiang Sheng
    2019-06-24
    43759 3175 Pages:838-869
  • On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method

    Pouria Assari, Mehdi Dehghan
    2019-06-24
    44010 3248 Pages:807-837
  • A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem

    Yunxia Wang, Xuefeng Han, Zhiyong Si
    2020-03-06
    48557 4939 Pages:251-277
163 - 189 of 299 items
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