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• Energy Identities and Stability Analysis of the Yee Scheme for 3D Maxwell Equations

  Liping Gao, Xiaorui Sang, Rengang Shi

  2020-03-16

  45859 2862 Pages:788-813

• A BDF2-SSAV Numerical Scheme with Fourier-Spectral Method for a Droplet Thin Film Coarsening Model

  Juan Zhang, Lixiu Dong, Zhengru Zhang

  2024-08-30

  17364 1369 Pages:777-804

• A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise, Yanmei Wu

  2022-03-23

  55566 3335 Pages:279-303

• A Second Order Accurate in Time, Energy Stable Finite Element Scheme for a Liquid Thin Film Coarsening Model

  Maoqin Yuan, Lixiu Dong, Juan Zhang

  2025-04-06

  6740 554 Pages:127-156

• A Physics-Informed Structure-Preserving Numerical Scheme for the Phase-Field Hydrodynamic Model of Ternary Fluid Flows

  Qi Hong, Yuezheng Gong, Jia Zhao

  2023-08-29

  35416 2951 Pages:565-596

• Stability and Error Analysis of SAV Semi-Discrete Scheme for Cahn-Hilliard-Navier-Stokes Model

  Haijun Gao, Xi Li, Minfu Feng

  2025-04-06

  6888 537 Pages:66-102

• Numerical Analysis of a Second Order Crank-Nicolson Mixed Finite Element Method for the Swift-Hohenberg Equation

  Hongling Li, Manting Xie, Meiling Yue

  2025-10-22

  3823 247 Pages:947-971

• An Energy Stable Filtered Backward Euler Scheme for the MBE Equation with Slope Selection

  Jiexin Wang, Hong-Lin Liao, Ying Zhao

  2023-01-13

  34364 3094 Pages:165-181

• Finite Difference Schemes for the Variable Coefficients Single and Multi-Term Time-Fractional Diffusion Equations with Non-Smooth Solutions on Graded and Uniform Meshes

  Mingrong Cui

  2019-04-22

  44012 2739 Pages:845-866

• Two-Phase Image Segmentation by the Allen-Cahn Equation and a Nonlocal Edge Detection Operator

  Zhonghua Qiao, Qian Zhang

  2023-01-21

  36462 2817 Pages:1147-1172

• A Multiple Scalar Auxiliary Variables Approach to the Energy Stable Scheme of the Moving Contact Line Problem

  Fengdai Kang, Zhen Zhang

  2020-03-09

  42787 2616 Pages:539-568

• A Linearized Second-Order Difference Scheme for the Nonlinear Time-Fractional Fourth-Order Reaction-Diffusion Equation

  Hong Sun, Zhi-zhong Sun, Rui Du

  2019-10-12

  48632 2673 Pages:1168-1190

• Semi-Group Stability of Finite Difference Schemes in Corner Domains

  Antoine Benoit

  2018-09-17

  39834 2652 Pages:618-654

• A Compact Difference Scheme for an Evolution Equation with a Weakly Singular Kernel

  Hongbin Chen & Da Xu

  2012-05-01

  43455 4000 Pages:559-572

• Error Analysis of SAV Finite Element Method to Phase Field Crystal Model

  Liupeng Wang, Yunqing Huang, Kai Jiang

  2020-03-09

  45713 2820 Pages:372-399

• A Splitting Scheme for the Numerical Solution of the KWC System

  R. H. W. Hoppe & J. J. Winkle

  2019-04-22

  54339 2983 Pages:661-680

• Uniformly Distributed Circular Porous Pattern Generation on Surface for 3D Printing

  Sungha Yoon, Chaeyoung Lee, Jintae Park, Darae Jeong, Junseok Kim

  2020-12-02

  61800 3388 Pages:845-862

• A Well-Conditioned, Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems

  Xiaoxiao He, Fei Song, Weibing Deng

  2020-03-06

  44422 4168 Pages:99-130

• A Posteriori Error Control for Three Typical Force-Based Atomistic-to-Continuum Coupling Methods for an Atomistic Chain

  Hao Wang, Shaohui Liu & Feng Yang

  2018-09-18

  41034 4327 Pages:233-264

• Projection Improved SPAI Preconditioner for FGMRES

  Mingguang Geng, Shuli Sun

  2023-11-07

  28158 2295 Pages:1035-1052

• On a Parabolic Sine-Gordon Model

  Xinyu Cheng, Dong Li, Chaoyu Quan, Wen Yang

  2021-09-10

  47936 2656 Pages:1068-1084

• The Conservation and Convergence of Two Finite Difference Schemes for KdV Equations with Initial and Boundary Value Conditions

  Jinye Shen, Xuping Wang, Zhi-zhong Sun

  2020-03-06

  45883 4294 Pages:253-280