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Advances in Applied Mathematics and Mechanics
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  • A Scale-Invariant Fifth Order WCNS Scheme for Hyperbolic Conservation Laws

    Zixuan Zhang, Yidao Dong, Huaibao Zhang, Shichao Zheng, Xiaogang Deng
    2023-06-21
    37911 3019 Pages:1256-1289
  • A New Robust High-Order Weighted Essentially Non-Oscillatory Scheme for Solving Well-Balanced Shallow Water Equations

    Zhenming Wang, Jun Zhu, Ning Zhao
    2019-06-24
    44516 3089 Pages:911-941
  • 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 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
  • 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
  • An Efficient High Order Well-Balanced Finite Difference WENO Scheme for the Blood Flow Model

    Shouguo Qian, Gang Li, Xianqing Lv, Fengjing Shao
    2018-09-17
    52940 5247 Pages:22-40
  • A New Finite Difference Well-Balanced Mapped Unequal-Sized WENO Scheme for Solving Shallow Water Equations

    Liang Li, Zhenming Wang, Jun Zhu
    2024-07-22
    25910 2462 Pages:1176-1196
  • An Empirical Constitutive Correlation for Regular Jugged Discontinuity of Rock Surfaces

    Bin Yang, Sihao Mo, Ping Wu, Chaoqing He
    2013-05-01
    41549 4553 Pages:258-268
  • A Partial RKDG Method for Solving the 2D Ideal MHD Equations Written in Semi-Lagrangian Formulation on Moving Meshes with Exactly Divergence-Free Magnetic Field

    Shijun Zou, Xijun Yu, Zihuan Dai, Fang Qing, Xiaolong Zhao
    2023-04-11
    38225 3299 Pages:932-963
  • A Well-Balanced FVC Scheme for 2D Shallow Water Flows on Unstructured Triangular Meshes

    Moussa Ziggaf, Imad Kissami, Mohamed Boubekeur, Fayssal Benkhaldoun
    2023-06-21
    37328 2971 Pages:1335-1378
  • WENO Interpolation-Based and Upwind-Biased Free-Stream Preserving Nonlinear Schemes

    Qin Li, Sun Dong, Fengyuan Xu
    2021-11-17
    49385 4068 Pages:1441-1484
  • A Maximum-Principle-Preserving Third Order Finite Volume SWENO Scheme on Unstructured Triangular Meshes

    Yunrui Guo, Lingyan Tang, Hong Zhang, Songhe Song
    2018-09-17
    47079 6152 Pages:114-137
  • 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
  • A Nonconvex and Nonsmooth Model for Deblurring Images under Cauchy Noise

    Hongtao Chen, Weina Wang
    2024-12-02
    14163 1025 Pages:148-174
  • Valuation of American Call Option Considering Uncertain Volatility

    I. Hlaváček
    2010-02-01
    39625 3617 Pages:211-221
  • A Hessian Recovery Based Linear Finite Element Method for Molecular Beam Epitaxy Growth Model with Slope Selection

    Minqiang Xu, Qingsong Zou
    2023-12-21
    26591 2589 Pages:1-23
  • New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation

    Jinliang Yan, Ming-Chih Lai, Zhilin Li, Zhiyue Zhang
    2018-05-05
    41583 3003 Pages:250-271
  • Hamiltonian Boundary Value Method for the Nonlinear Schrödinger Equation and the Korteweg-de Vries Equation

    Mingzhan Song, Xu Qian, Hong Zhang, Songhe Song
    2018-05-05
    42063 2991 Pages:868-886
  • A Fifth-Order Low-Dissipative Conservative Upwind Compact Scheme Using Centered Stencil

    Conghai Wu, Sujuan Yang, Ning Zhao
    2021-07-01
    42859 4268 Pages:830-848
  • A Stochastic Collocation Method for Delay Differential Equations with Random Input

    Tao Zhou
    2014-06-01
    53679 4619 Pages:403-418 Open-access
  • Improved Local Projection for the Generalized Stokes Problem

    Kamel Nafa
    2021-07-01
    40615 4075 Pages:862-873
  • A High-Order Well-Balanced Discontinuous Galerkin Method Based on the Hydrostatic Reconstruction for the Ripa Model

    Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao, Qiang Niu
    2021-07-01
    48037 4043 Pages:1416-1437
  • Constructing Separable Non-$2\pi$-Periodic Solutions to the Navier-Lamé Equation in Cylindrical Coordinates Using the Buchwald Representation: Theory and Applications

    Jamal Sakhr, Blaine A. Chronik
    2020-04-10
    50195 3206 Pages:694-728
  • Error Estimation and Stress Recovery by Patch Equilibrium in the ‎‎Isogeometric Analysis Method

    Ahmad Ganjali, Behrooz Hassani, Masoud Mahdizadeh Rokhi
    2020-07-24
    49572 3205 Pages:1079-1112
  • A Comparison and Unification of Ellipsoidal Statistical and Shakhov BGK Models

    Songze Chen, Kun Xu, Qingdong Cai
    2018-03-30
    41603 3121 Pages:245-266
  • Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach

    Yuezheng Gong, Qi Hong, Chunwu Wang, Yushun Wang
    2023-06-21
    37945 3118 Pages:1233-1255
  • Semi-Analytical Solution for Functionally Graded Solid Circular and Annular Plates Resting on Elastic Foundations Subjected to Axisymmetric Transverse Loading

    A. Behravan Rad
    2018-08-10
    42229 4166 Pages:205-222
1 - 27 of 56 items
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