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  • A Second-Order Implicit-Explicit Scheme for the Baroclinic-Barotropic Split System of Primitive Equations

    Rihui Lan, Lili Ju, Zhu Wang, Max Gunzburger
    2023-12-11
    32708 2551 Pages:1306-1331
  • Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence

    Yuan Gao, Jian-Guo Liu
    2023-08-14
    32964 3064 Pages:132-172
  • Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows

    S. A. Hosseini, B. Dorschner, I. V. Karlin
    2023-02-20
    44596 3761 Pages:39-56 Open-access
  • Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

    Jiayin Li, Chi-Wang Shu, Jianxian Qiu
    2022-08-11
    302871 3313 Pages:364-400
  • A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations

    Huangxin Chen, Amiya K. Pani, Weifeng Qiu
    2022-05-06
    44482 3270 Pages:1434-1466
  • An LDG Method for Stochastic Cahn-Hilliard Type Equation Driven by General Multiplicative Noise Involving Second-Order Derivative

    Li Zhou, Yunzhang Li
    2022-01-27
    43484 3252 Pages:516-547
  • New Unconditionally Stable Schemes for the Navier-Stokes Equations

    Hui Yao, Mejdi Azaiez, Chuanju Xu
    2021-08-10
    48952 3088 Pages:1083-1117
  • Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model

    Guo-Dong Zhang, Xiaofeng Yang
    2021-07-01
    48341 3264 Pages:771-798
  • Grad-div Stabilized Finite Element Schemes for the Fluid-Fluid Interaction Model

    Wei Li, Pengzhan Huang, Yinnian He
    2021-05-25
    48989 3202 Pages:536-566
  • Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model

    Yuzhe Qin, Zhen Xu, Hui Zhang, Zhengru Zhang
    2020-08-27
    50113 3275 Pages:1389-1414
  • A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

    Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang
    2020-07-21
    49155 3215 Pages:967-998
  • A Weighted Runge-Kutta Discontinuous Galerkin Method for 3D Acoustic and Elastic Wave-Field Modeling

    Xijun He, Dinghui Yang, Xiao Ma
    2020-06-05
    49467 4458 Pages:372-400
  • 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
  • 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
  • Exponential Time Differencing Gauge Method for Incompressible Viscous Flows

    Lili Ju & Zhu Wang
    2018-04-09
    41937 3257 Pages:517-541
  • A Fully Implicit Finite Volume Lattice Boltzmann Method for Turbulent Flows

    Fatih Cevik & Kahraman Albayrak
    2018-04-09
    42164 3338 Pages:393-421
  • 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
  • Stability and Conservation Properties of Collocated Constraints in Immersogeometric Fluid-Thin Structure Interaction Analysis

    David Kamensky, John A. Evans & Ming-Chen Hsu
    2020-07-31
    38489 3081 Pages:1147-1180
  • New Splitting Methods for Convection-Dominated Diffusion Problems and Navier-Stokes Equations

    Feng Shi, Guoping Liang, Yubo Zhao & Jun Zou
    2014-11-08
    41162 3874 Pages:1239-1262
  • 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
  • The Stability and Convergence of Fully Discrete Galerkin-Galerkin FEMs for Porous Medium Flows

    Buyang Li, Jilu Wang & Weiwei Sun
    2020-07-31
    42403 4297 Pages:1141-1158
  • Numerical Method of Fabric Dynamics Using Front Tracking and Spring Model

    Yan Li, I-Liang Chern, Joung-Dong Kim & Xiaolin Li
    2013-11-05
    40350 4025 Pages:1228-1251
  • 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
  • Theoretical Study on Structural Stability of Alloy Cages: A Case of Silicon-Doped Heterofullerenes

    Xiaofeng Fan, Zexuan Zhu, Lei Liu, Zexiang Shen & Jer-Lai Kuo
    2010-08-01
    38899 3963 Pages:289-303
  • A Weighted Runge-Kutta Method with Weak Numerical Dispersion for Solving Wave Equations

    Shan Chen, Dinghui Yang & Xiaoying Deng
    2010-07-01
    38898 4384 Pages:1027-1048
  • The Discrete Orthogonal Polynomial Least Squares Method for Approximation and Solving Partial Differential Equations

    Anne Gelb, Rodrigo B. Platte & W. Steven Rosenthal
    2008-03-01
    39692 4309 Pages:734-758
  • Stability Analysis of the Immersed Boundary Method for a Two-Dimensional Membrane with Bending Rigidity

    Zhaoxin Gong, Huaxiong Huang & Chuanjing Lu
    2008-03-01
    38661 3806 Pages:704-723
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