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Advances in Applied Mathematics and Mechanics
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  • Jacobi Spectral Collocation Method Based on Lagrange Interpolation Polynomials for Solving Nonlinear Fractional Integro-Differential Equations

    Xingfa Yang, Yin Yang, Yanping Chen, Jie Liu
    2021-07-01
    47168 4083 Pages:1440-1458
  • Nonconforming FEMs for the $p$-Laplace Problem

    D. J. Liu, A. Q. Li, Z. R. Chen
    2021-07-01
    45849 4236 Pages:1365-1383
  • The Static Solution for the Layered Piezoelectric Bounded Domain with Side Face Load by the Modified SBFEM

    Shan Lu, Jun Liu, Gao Lin, Zihua Zhang, Pengchong Zhang
    2018-09-17
    44985 5135 Pages:209-241
  • Numerical Comparison of the LOOCV-MFS and the MS-CTM for 2D Equations

    Fang Hao, Hui Lv, Xiaoyan Liu
    2018-09-17
    45378 5121 Pages:41-61
  • 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
  • Quadrotor Convergence Trajectory Optimization Model Based on Minimum Energy Consumption

    Biao Zhang, Peng Xiao, Hongliang Liu, Mingyue Ma, Qian Wang, Zhi Mao
    2018-09-17
    45497 3143 Pages:673-689
  • 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
  • Numerical Simulation of Hose Whip Phenomenon in Hose-Drogue Aerial Refueling

    Lele Chen, Xueqiang Liu, Ning Qin
    2018-09-17
    45635 3143 Pages:517-528
  • Comparative Study of Implicit and Explicit Immersed Boundary-Lattice Boltzmann Methods for Simulation of Fluid-Structure Interactions

    J. Y. Shao, N. Y. Liu
    2018-09-17
    44700 3168 Pages:1173-1190
  • Fully Finite Element Adaptive AMG Method for Time-Space Caputo-Riesz Fractional Diffusion Equations

    X. Q. Yue, W. P. Bu, S. Shu, M. H. Liu, S. Wang
    2018-09-17
    45391 3175 Pages:1103-1125
  • A Dual-Level Method of Fundamental Solutions in Conjunction with Kernel-Independent Fast Multipole Method for Large-Scale Isotropic Heat Conduction Problems

    Junpu Li, Zhuojia Fu, Wen Chen, Xiaoting Liu
    2019-01-11
    44831 3053 Pages:501-517
  • Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law II: Applications on Complex Curvilinear Meshes

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2019-01-11
    44148 3112 Pages:285-311
  • Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law I: Basic Formulations and Performance Evaluation

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2019-01-11
    44110 3110 Pages:255-284
  • Numerical Investigation into the Air Flow Distributions of the Air Conditioning System in the Modular Data Center

    Hao Dong, Ziqiang Qin, Shicheng Liu, Yao Li, Yingying Shen, Haibo Wang, Yitong Zong, Xiaojun Wu, Haiqing Si
    2019-01-04
    46663 4840 Pages:91-107
  • Numerical Investigation of Supersonic Channel Flow with Oscillatory Backpressures

    Peizhao Sun, Nansheng Liu, Jiming Yang, Xiyun Lu
    2019-01-04
    47111 4852 Pages:1-23
  • A Well-Conditioned Spectral Integration Method for High-Order Differential Equations with Variable Coefficients

    Yurun Wang, Huiling Su, Fei Liu
    2024-11-01
    15220 1379 Pages:1549-1568
  • Semi-Discrete Predictor-Multicorrector FEM Algorithms for the 2D/3D Unsteady Incompressible Micropolar Fluid Equations

    Xiaowei Bi, Demin Liu
    2024-11-01
    15117 1341 Pages:1519-1548
  • On Field Concentration Between Nearly-Touching Multiscale Inclusions in the Quasi-Static Regime

    Youjun Deng, Lingzheng Kong, Hongyu Liu, Liyan Zhu
    2024-07-22
    25694 2296 Pages:1252-1276
  • Corrected Linear-Galerkin Schemes to Preserve Second-Order Accuracy for Cell-Centered Unstructured Finite Volume Methods

    Lingfa Kong, Yidao Dong, Wei Liu
    2024-07-22
    31446 2389 Pages:1056-1103
  • A Genuinely 2D Well-Balanced Method for Elastic-Plastic Flow in Cylindrically Symmetric Coordinates

    Zhiqiang Zeng, Weixiong Yuan, Chengliang Feng, Tiegang Liu, Shengtao Zhang
    2024-12-31
    12884 1163 Pages:599-632
  • 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
  • A Finite Element Method by Patch Reconstruction for the Quad-Curl Problem Using Mixed Formulations

    Ruo Li, Qicheng Liu, Shuhai Zhao
    2024-12-31
    12863 1170 Pages:517-537
  • Comparison of Sharp and Diffuse Interface Methods for Radially Symmetric Compressible Multi-Medium Fluid Flows

    Xiaotao Zhang, Tiegang Liu, Fan Zhang, Zhiqiang Zeng, Chengliang Feng
    2024-12-31
    13167 1189 Pages:407-439
  • Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation

    Dong Liu, Weihua Deng
    2025-05-12
    8299 493 Pages:1204-1238
  • 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
  • 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
  • Elastic-Plastic Analysis for Functionally Graded Thick-Walled Tube Subjected to Internal Pressure

    Libiao Xin, Guansuo Dui, Shengyou Yang, Ying Liu
    2018-05-05
    41462 3106 Pages:331-352
28 - 54 of 112 items
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