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Advances in Applied Mathematics and Mechanics
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  • 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
  • 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 Characteristics-Mixed Volume Element Method for the Displacement Problem of Enhanced Oil Recovery

    Yirang Yuan, Aijie Cheng, Changfeng Li, Tongjun Sun, Qing Yang
    2019-06-24
    45405 3243 Pages:1084-1113
  • Cell Conservative Flux Recovery and a Posteriori Error Estimate of Vertex-Centered Finite Volume Methods

    Long Chen, Ming Wang
    2013-05-01
    42845 4107 Pages:705-727
  • Stability of Two Conservative, High-Order Fluid-Fluid Coupling Methods

    Jeffrey M. Connors, Robert D. Dolan
    2021-07-01
    64106 4585 Pages:1287-1338
  • A Numerical Study of Two-Fluid Models with Pressure and Velocity Relaxation

    Svend Tollak Munkejord
    2010-02-01
    40382 3863 Pages:131-159
  • 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
  • Noise Prediction in Subsonic Flow Using Seventh-Order Dissipative Compact Scheme on Curvilinear Mesh

    Meiliang Mao, Yi Jiang, Xiaogang Deng, Huayong Liu
    2018-05-05
    41457 3093 Pages:236-256
  • A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State

    Qiujin Peng
    2018-05-05
    44947 3079 Pages:1162-1188
  • An Upwind-Block-Centered Multistep Difference Method for a Semiconductor Device and Numerical Analysis

    Yirang Yuan, Changfeng Li, Huailing Song
    2025-03-14
    11184 805 Pages:706-731
  • On the Computations of Gas-Solid Mixture Two-Phase Flow

    D. Zeidan, R. Touma
    2014-06-01
    45857 5179 Pages:49-74
  • An Efficient Numerical Solution Method for Elliptic Problems in Divergence Form

    Ali Abbas
    2014-06-01
    41809 4239 Pages:327-344
  • Closed-Form Expression for the Exact Period of a Nonlinear Oscillator Typified by a Mass Attached to a Stretched Wire

    Malik Mamode
    2021-07-01
    40545 4119 Pages:689-701
  • Shock Profiles for the Shallow-Water Exner Models

    C. Berthon, B. Boutin, R. Turpault
    2018-05-05
    43141 3131 Pages:267-294
  • Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law III: Characteristic-Wise Hybrid Method

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2022-01-24
    41301 3235 Pages:415-441
  • 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
  • A Fifth Order Alternative Mapped WENO Scheme for Nonlinear Hyperbolic Conservation Laws

    Uttam Singh Rajput, Krishna Mohan Singh
    2021-11-18
    49800 4422 Pages:275-298
  • An Upwind Mixed Volume Element-Fractional Step Method on a Changing Mesh for Compressible Contamination Treatment from Nuclear Waste

    Changfeng Li, Yirang Yuan, Huailing Song
    2021-07-01
    46374 3884 Pages:1384-1417
  • A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography

    Nouh Izem, Mohammed Seaid
    2022-02-25
    47360 3264 Pages:725-758
  • Conservative and Finite Volume Methods for the Convection-Dominated Pricing Problem

    Germán I. Ramírez-Espinoza, Matthias Ehrhardt
    2021-07-01
    44429 4739 Pages:759-790
  • A Diffusively Corrected Multiclass Lighthill-Whitham-Richards Traffic Model with Anticipation Lengths and Reaction Times

    Raimund Bürger, Pep Mulet, Luis M. Villada
    2013-05-01
    42639 4315 Pages:728-758
  • 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
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