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  • Stable Boundary Conditions and Discretization for $P_N$ Equations

    Jonas Bünger, Neeraj Sarna, Manuel Torrilhon
    2022-11-08
    302281 3479 Pages:977-1003
  • High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

    Ruihan Guo, Liangyue Ji, Yan Xu
    2018-08-22
    41306 3037 Pages:135-158
  • Energy Estimates for Delay Diffusion-Reaction Equations

    J. A. Ferreira, P. M. da Silva
    2018-08-07
    31821 3460 Pages:536-553
  • A Scalar Auxiliary Variable (SAV) Finite Element Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Dynamic Boundary Conditions

    Changhui Yao, Fengdan Zhang, Cheng Wang
    2024-01-16
    25639 2225 Pages:544-569
  • Stability Analysis for Nonlinear Schrödinger Equations with Nonlinear Absorbing Boundary Conditions

    Jiwei Zhang, Zhenli Xu, Xiaonan Wu, Desheng Wang
    2018-08-22
    39882 5196 Pages:1-18
  • Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle

    Tao Tang, Jiang Yang
    2018-08-22
    42859 3067 Pages:451-461
  • The Exponential Scalar Auxiliary Variable Approach for the Landau-Lifshitz Equation

    Xinye Li, Sai Qi, Zhoushun Zheng
    2026-04-01
    43 33
  • Discrete Energy Analysis of the Third-Order Variable-Step BDF Time-Stepping for Diffusion Equations

    Hong-lin Liao, Tao Tang, Tao Zhou
    2022-11-15
    295795 2947 Pages:325-344
  • Efficient Linear Schemes with Unconditional Energy Stability for the Phase Field Model of Solid-State Dewetting Problems

    Jie Chen, Zhengkang He, Shuyu Sun, Shimin Guo, Zhangxin Chen
    2020-03-24
    39635 2929 Pages:452-468
  • Stability and Error Estimates of Ultra-Weak Local Discontinuous Galerkin Method with Spectral Deferred Correction Time-Marching for PDEs with High Order Spatial Derivatives

    Lingling Zhou, Wenhua Chen, Ruihan Guo
    2026-02-15
    2530 245 Pages:286-306
  • Compact Finite Difference Scheme for Some Sobolev Type Equations with Dirichlet Boundary Condition

    Lavanya V Salian, Rathan Samala, Rakesh Kumar
    2025-11-19
    211 146
  • A Second-Order Convex Splitting Scheme for a Cahn-Hilliard Equation with Variable Interfacial Parameters

    Xiao Li, Zhonghua Qiao, Hui Zhang
    2021-07-01
    37823 4016 Pages:693-710
  • A First-Order, Semi-Implicit, and Unconditionally Energy-Stable Scheme for an Incompressible Ferrohydrodynamics Flow

    Xiaojing Dong, Huayi Huang, Yunqing Huang
    2025-07-12
    6338 645 Pages:866-897
  • Stability Analysis and Application of the Exponential Time Differencing Schemes

    Qiang Du, Wenxiang Zhu
    2004-04-02
    33489 4395 Pages:200-209
  • A New Boundary Condition for Rate-Type Non-Newtonian Diffusive Models and the Stable MAC Scheme

    Kun Li, Youngju Lee, Christina Starkey
    2018-09-17
    39731 2904 Pages:605-626
  • Stability and Convergence Analysis of Second-Order Schemes for a Diffuse Interface Model with Peng-Robinson Equation of State

    Qiujin Peng, Zhonghua Qiao, Shuyu Sun
    2021-07-01
    36652 3773 Pages:737-765
  • Invariants-Preserving Du Fort-Frankel Schemes and Their Analyses for Nonlinear Schrödinger Equations with Wave Operator

    Dingwen Deng, Zhijun Li
    2024-04-08
    19388 1965 Pages:814-850
  • A New Coupled Subdiffusion Model and Its Partitioned Time-Stepping Algorithm

    Zheng Li, Yuting Xiang, Hui Xu, Jiaping Yu, Haibiao Zheng
    2025-05-09
    552 56 Pages:634–649
  • Error Estimates of the Finite Element Method with Weighted Basis Functions for a Singularly Perturbed Convection-Diffusion Equation

    Xianggui Li, Xijun Yu, Guangnan Chen
    2018-08-22
    33733 3814 Pages:227-242
  • Dissipative Numerical Methods for the Hunter-Saxton Equation

    Yan Xu, Chi-Wang Shu
    2019-04-10
    36958 3396 Pages:606-620
  • A Finite Difference Method for the Model of Wheezes

    Bai-Nian Lu
    1995-04-02
    33624 3659 Pages:123-129
  • On the Stability of Finite-Difference Schemes of Higher-Order Approximate One-Way Wave Equations

    Yingxing Wang, Guan-Quan Zhang
    1988-06-01
    33571 3577 Pages:97-110
  • A Decoupled, Linearly Implicit and Unconditionally Energy Stable Scheme for the Coupled Cahn-Hilliard Systems

    Dan Zhao, Dongfang Li, Yanbin Tang, Jinming Wen
    2024-11-21
    16348 1566 Pages:708-730
  • Crank-Nicolson Galerkin Approximations for Logarithmic Klein-Gordon Equation

    Fang Chen, Meng Li, Yanmin Zhao
    2024-11-21
    16292 1460 Pages:641-672
  • The Structure-Preserving Methods for the Degasperis-Procesi Equation

    Yuze Zhang, Yushun Wang, Yanhong Yang
    2019-04-29
    41189 3215 Pages:475-487
  • Splitting Schemes for a Navier-Stokes-Cahn-Hilliard Model for Two Fluids with Different Densities

    Francisco Guillen-Gonzalez, Giordano Tierra
    2021-07-01
    38705 4273 Pages:643-664
  • Low-Degree $\mathcal{O}(h^2)$-Accurate Conservative Finite Element Schemes for Incompressible Stokes Problems on General Triangulations

    Wenjia Liu, Huilan Zeng, Shuo Zhang
    2025-12-28
    193 103
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