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  • Finite Volume Methods for Wave Propagation in Stratified Magneto-Atmospheres

    Franz Georg Fuchs, Andrew D. McMurry, Siddhartha Mishra, Nils Henrik Risebro & Knut Waagan
    2010-07-01
    41809 3844 Pages:473-509
  • Efficient Solution of a Generalized Eigenvalue Problem Arising in a Thermoconvective Instability

    M. C. Navarro, H. Herrero, A. M. Mancho & A. Wathen
    2018-03-24
    39566 4055 Pages:308-329
  • A Class of Second-Order Energy-Stable Schemes for the Cahn-Hilliard Equation and Their Linear Iteration Algorithm

    Xiaohan Zhu, Yuezheng Gong, Yushun Wang
    2025-09-05
    3420 288 Pages:1210-1236
  • Energy-Stable Parametric Finite Element Methods for the Generalized Willmore Flow with Axisymmetric Geometry: Closed Surfaces

    Meng Li, Yifei Li
    2025-08-08
    4354 408 Pages:575-602
  • An Inverse Averaging Finite Element Method for Solving the Size-Modified Poisson-Nernst-Planck Equations in Ion Channel Simulations

    Ruigang Shen, Qianru Zhang, Benzhuo Lu
    2024-09-06
    162 62 Pages:521-550
  • A Stability Analysis of Hybrid Schemes to Cure Shock Instability

    Zhijun Shen, Wei Yan & Guangwei Yuan
    2014-05-05
    42675 3886 Pages:1320-1342
  • Stability of Soft Quasicrystals in a Coupled-Mode Swift-Hohenberg Model for Three-Component Systems

    Kai Jiang, Jiajun Tong & Pingwen Zhang
    2018-04-03
    40496 3214 Pages:559-581
  • A Well-Balanced Lattice Boltzmann Model for Binary Fluids Based on the Incompressible Phase-Field Theory

    Long Ju, Peiyao Liu, Bicheng Yan, Jin Bao, Shuyu Sun, Zhaoli Guo
    2025-05-29
    183 70 Pages:1305-1326
  • Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation

    Xiao Li, Lili Ju, Xucheng Meng
    2019-08-27
    46531 3321 Pages:1510-1529
  • A Numerical Approach for a System of Transport Equations in the Field of Radiotherapy

    Teddy Pichard, Stéphane Brull & Bruno Dubroca
    2018-12-08
    48049 3384 Pages:1097-1126
  • Do Current Lattice Boltzmann Methods for Diffusion and Advection-Diffusion Equations Respect Maximum Principle and the Non-Negative Constraint?

    S. Karimi & K. B. Nakshatrala
    2018-04-04
    39611 3172 Pages:374-404
  • An All-Regime Lagrange-Projection Like Scheme for the Gas Dynamics Equations on Unstructured Meshes

    Christophe Chalons, Mathieu Girardin & Samuel Kokh
    2018-04-04
    42292 4674 Pages:188-233
  • General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows

    Jianan Zeng, Wei Su, Lei Wu
    2023-08-14
    33585 3269 Pages:173-207
  • Asymptotic-Preserving Scheme for the M1-Maxwell System in the Quasi-Neutral Regime

    S. Guisset, S. Brull, B. Dubroca, E. d'Humières, S. Karpov, I. Potapenko
    2018-04-03
    41993 3261 Pages:301-328
  • An Efficient Spectral Method for the Inextensible Immersed Interface in Incompressible Flows

    Xiaoling Liu, Fangying Song & Chuanju Xu
    2018-12-08
    48988 3487 Pages:1071-1096
  • On the Choice of Design Points for Least Square Polynomial Approximations with Application to Uncertainty Quantification

    Zhen Gao & Tao Zhou
    2014-08-03
    42356 4105 Pages:365-381
  • Asymptotic Stability of an Eikonal Transformation Based ADI Method for the Paraxial Helmholtz Equation at High Wave Numbers

    Qin Sheng & Hai-Wei Sun
    2012-12-01
    39998 4225 Pages:1275-1292
  • Efficient Numerical Computation of Time-Fractional Nonlinear Schrödinger Equations in Unbounded Domain

    Jiwei Zhang, Dongfang Li & Xavier Antoine
    2018-09-01
    46615 5292 Pages:218-243
  • Linear and Unconditionally Energy Stable Schemes for the Multi-Component Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State

    Chenfei Zhang, Hongwei Li, Xiaoping Zhang, Lili Ju
    2019-07-02
    46000 3286 Pages:1071-1097
  • A Well-Balanced Gas Kinetic Scheme for Navier-Stokes Equations with Gravitational Potential

    Songze Chen, Zhaoli Guo, Kun Xu
    2020-07-21
    47407 3252 Pages:902-926
  • A Sub-Grid Structure Enhanced Discontinuous Galerkin Method for Multiscale Diffusion and Convection-Diffusion Problems

    Eric T. Chung & Wing Tat Leung
    2014-08-05
    40903 4276 Pages:370-392
  • Simulation of Wave-Flow-Cavitation Interaction Using a Compressible Homogenous Flow Method

    J. G. Zheng, B. C. Khoo & Z. M. Hu
    2014-08-05
    40457 4174 Pages:328-354
  • Numerical Solutions of Coupled Nonlinear Schrödinger Equations by Orthogonal Spline Collocation Method

    Qing-Jiang Meng, Li-Ping Yin, Xiao-Qing Jin & Fang-Li Qiao
    2012-12-01
    42045 3816 Pages:1392-1416
  • A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

    Ruihan Guo & Yan Xu
    2018-09-17
    67668 5387 Pages:123-151
  • A Third Order Bound-Preserving Nodal Discontinuous Galerkin Method for Miscible Displacements in Porous Media

    Xinyuan Liu, Tao Xiong, Yang Yang
    2025-09-18
    4142 256 Pages:1515-1551
  • Solving Vlasov-Poisson-Fokker-Planck Equations Using $NRxx$ method

    Yanli Wang & Shudao Zhang
    2018-04-09
    41104 3157 Pages:782-807
  • Analysis of High-Order Absorbing Boundary Conditions for the Schrödinger Equation

    Jiwei Zhang, Zhizhong Sun, Xiaonan Wu & Desheng Wang
    2011-10-01
    38806 3871 Pages:742-766
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