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Advances in Applied Mathematics and Mechanics
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  • A Vertex-Centered Arbitrary Lagrangian-Eulerian Finite Volume Method with Sub-Cells for Two-Dimensional Compressible Flow

    Xiaolong Zhao, Xijun Yu, Zupeng Jia, Shijun Zou, Meilan Qiu
    2023-12-21
    26831 2415 Pages:181-207
  • A High-Order NVD/TVD-Based Polynomial Upwind Scheme for the Modified Burgers' Equations

    Wei Gao, Yang Liu, Bin Cao, Hong Li
    2012-04-01
    41216 4342 Pages:617-635
  • Towards an Accurate and Robust Roe-Type Scheme for All Mach Number Flows

    Wenjia Xie, Ye Zhang, Qing Chang, Hua Li
    2019-01-04
    46385 5295 Pages:132-167
  • An Implicit Block LU-SGS Algorithm-Based Lattice Boltzmann Flux Solver for Simulation of Hypersonic Flows

    Z. X. Meng, S. Z. Li, K. Peng, W. H. Zhang
    2019-01-04
    47040 5066 Pages:72-90
  • An Immersed Boundary-Simplified Gas Kinetic Scheme for 2D Incompressible Flows with Curved and Moving Boundaries

    H. Dong, L. M. Yang
    2019-06-24
    45473 3227 Pages:1177-1199
  • A Study of Fifth-Order WENO Reconstruction for Genuinely Two-Dimensional Convection-Pressure Flux Split Riemann Solver

    Shide Tan, Haizhuan Yuan, Lijun Hu
    2024-11-01
    16349 1456 Pages:1297-1327
  • Balanced Truncation Based on Generalized Multiscale Finite Element Method for the Parameter-Dependent Elliptic Problem

    Shan Jiang, Anastasiya Protasov, Meiling Sun
    2021-07-01
    46152 3912 Pages:1527-1548
  • Troubled-Cell Indicators Using K-Means Clustering for RKDG Methods on Triangular Meshes and $h$-Adaptive Rectangular Meshes

    Haiyun Wang, Zhen Gao, Haijin Wang, Qiang Zhang, Hongqiang Zhu
    2025-03-14
    11037 665 Pages:1014-1036
  • Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions

    Jia-Le Li, Wai-Sun Don, Cai-Feng Wang, Bao-Shan Wang
    2025-03-14
    11235 796 Pages:804-839
  • A Generalized Local Grid Refinement Approach for Modeling of Multi-Physicochemical Transports by Lattice Boltzmann Method

    Amer Alizadeh, Moran Wang
    2019-01-11
    45285 4577 Pages:312-337 Open-access
  • A Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems

    Nan Wang, Jinru Chen
    2020-06-01
    48025 3484 Pages:879-901
  • PINN-Based Partial Learning for Multicontinuum Problems: Dual Continuum Fluid Filtration Simulation

    Wanbao Huang, Yin Yang, Dmitry Ammosov, Wei Xie, Sergei Stepanov
    2025-10-29
    4510 102 Pages:537-560
  • Restricted Additive Schwarz Preconditioner for Elliptic Equations with Jump Coefficients

    Zhiyong Liu, Yinnian He
    2021-07-01
    43524 4154 Pages:1072-1083
  • On the Convergence of a Crank-Nicolson Fitted Finite Volume Method for Pricing European Options Under Regime-Switching Kou’s Jump-Diffusion Models

    Xiaoting Gan, Junfeng Yin, Rui Li
    2023-06-21
    36721 2917 Pages:1290-1314
  • Modeling and Computation of CO2 Allowance Derivatives Under Jump-Diffusion Processes

    Shuhua Zhang, Jing Wang
    2018-05-05
    42501 3023 Pages:827-846
  • Identification of Elastic Orthotropic Material Parameters by the Singular Boundary Method

    Bin Chen, Wen Chen, Xing Wei
    2018-05-05
    42136 2954 Pages:810-826
  • A Switch Function-Based Gas-Kinetic Scheme for Simulation of Inviscid and Viscous Compressible Flows

    Yu Sun, Shu Chang, Liming Yang, C. J. Teo
    2018-05-05
    43082 3014 Pages:703-721
  • 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
  • The Random Feature Method for Elliptic Eigenvalue Problems

    Kexiang Xiong, Zhen Zhang, Jingrun Chen, Yixin Luo
    2025-05-12
    8350 497 Pages:1133-1170
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