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Advances in Applied Mathematics and Mechanics
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  • A Treecode Algorithm for 3D Stokeslets and Stresslets

    Lei Wang, Svetlana Tlupova, Robert Krasny
    2019-06-24
    45382 4490 Pages:737-756 Open-access
  • Springback Prediction and Compensation of Elastic-Perfectly Plastic Strip in Multi-Square Punch Forming

    Qiyu Liang, Ling Zhu
    2020-06-01
    50150 3467 Pages:1057-1078
  • Solving Fourth-Order PDEs Using the LMAPS

    Cheng Deng, Hui Zheng, Yan Shi, C. S. Chen
    2020-06-01
    50611 3337 Pages:920-939
  • Numerical Assessment of Criteria for Mesh Adaptation in the Finite Volume Solution of Shallow Water Equations

    Imad Kissami, Mohammed Seaid, Fayssal Benkhaldoun
    2020-01-17
    77695 3570 Pages:503-526
  • Two-Grid Stabilized FEMs Based on Newton Type Linearization for the Steady-State Natural Convection Problem

    Yunbo Yang, Yaolin Jiang, Qiongxiang Kong
    2020-01-17
    48553 3358 Pages:407-435
  • A New Higher Order Fractional-Step Method for the Incompressible Navier-Stokes Equations

    Rong An, Can Zhou, Jian Su
    2020-01-17
    47190 3235 Pages:362-385
  • An Alternating Direction Method of Multipliers for Optimal Control Problems Constrained with Elliptic Equations

    Jinda Yang, Kai Zhang, Haiming Song, Ting Cheng
    2020-01-17
    48329 3301 Pages:336-361
  • Efficient Preconditioned Iterative Linear Solvers for 3-D Magnetostatic Problems Using Edge Elements

    Xian-Ming Gu, Yanpu Zhao, Tingzhu Huang, Ran Zhao
    2020-01-17
    48781 3309 Pages:301-318
  • The Weak Galerkin Finite Element Method for Solving the Time-Dependent Integro-Differential Equations

    Xiuli Wang, Qilong Zhai, Ran Zhang, Shangyou Zhang
    2020-03-06
    49173 5233 Pages:164-188
  • An Inverse Source Problem with Sparsity Constraint for the Time-Fractional Diffusion Equation

    Zhousheng Ruan, Zhijian Yang, Xiliang Lu
    2018-05-05
    43811 4757 Pages:1-18
  • 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
  • Improved Symmetry Property of High Order Weighted Essentially Non-Oscillatory Finite Difference Schemes for Hyperbolic Conservation Laws

    Wai Sun Don, Peng Li, Kwun Ying Wong, Zhen Gao
    2021-07-01
    56294 4549 Pages:1418-1439
  • A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

    Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang
    2018-09-17
    44063 4798 Pages:242-260
  • Fitted Finite Volume Method of Three Transboundary Pollution in Three Gorges Reservoir Area of Chongqing City with Emission Permits Trading by Cooperative Stochastic Differential Game

    Zuliang Lu, Shuhua Zhang, Lin Li, Longzhou Cao, Yin Yang
    2018-09-17
    44586 3025 Pages:690-709
  • 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
  • Efficient Stochastic Runge-Kutta Methods for Stochastic Differential Equations with Small Noises

    Xiao Tang, Aiguo Xiao
    2018-09-17
    46877 3475 Pages:845-878
  • 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 Galerkin Splitting Symplectic Method for the Two Dimensional Nonlinear Schrödinger Equation

    Zhenguo Mu, Haochen Li, Yushun Wang, Wenjun Cai
    2018-09-17
    45536 3126 Pages:1069-1089
  • Alternating Direction Implicit Finite Element Method for Multi-Dimensional Black-Scholes Models

    Limei Li, Alexander Lapin, Shuhua Zhang
    2019-01-11
    44992 3044 Pages:535-558
  • An Adaptive Time and Space Discretization Approach for Simulating Unsteady Navier-Stokes Flows

    Biao Peng, Chunhua Zhou, Junqiang Ai
    2019-01-11
    44173 3108 Pages:406-427
  • A Class of Weak Galerkin Finite Element Methods for the Incompressible Fluid Model

    Xiuli Wang, Qilong Zhai, Xiaoshen Wang
    2019-01-11
    45214 3360 Pages:360-380
  • 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
  • Numerical Simulation of Non-Linear Schrödinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution

    Yongxing Hong, Jun Lu, Ji Lin, Wen Chen
    2019-01-04
    46110 4988 Pages:108-131
  • On Diagonal Form Fast Multipole Method for an Oscillatory Boundary Integral Equation

    Qinghua Wu
    2019-06-24
    44462 3116 Pages:1248-1262
  • A Reduced Basis Method for the Nonlinear Poisson-Boltzmann Equation

    Lijie Ji, Yanlai Chen, Zhenli Xu
    2019-06-24
    46360 3206 Pages:1200-1218
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