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• Numerical Energy Dissipation for Time-Fractional Phase-Field Equations

  Chaoyu Quan, Tao Tang, Jiang Yang

  2024-11-21

  19975 1713 Pages:515-539

• On Discrete Energy Dissipation of Maxwell's Equations in a Cole-Cole Dispersive Medium

  Baoli Yin, Yang Liu, Hong Li, Zhimin Zhang

  2023-05-08

  28744 2458 Pages:980-1002

• 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

  25523 2200 Pages:544-569

• Error Analysis of Stabilized Convex Splitting ${\rm BDF}k$ Method for the Molecular Beam Epitaxial Model with Slope Selection

  Juan Li, Xuping Wang

  2026-02-15

  2255 163 Pages:165-190

• A Second-Order in Time and Energy-Dissipative Scheme for Time-Fractional Navier-Stokes Equations

  Ruimin Gao, Dongfang Li, Hongyu Qin

  2025-11-26

  192 216

• 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

  295653 2923 Pages:325-344

• A Linearly-Fitted Conservative (Dissipative) Scheme for Efficiently Solving Conservative (Dissipative) Nonlinear Wave PDEs

  Kai Liu, Xinyuan Wu, Wei Shi

  2021-07-01

  39843 3707 Pages:780-800

• Optimal Error Estimates of the Local Discontinuous Galerkin Method with Generalized Numerical Fluxes for One-Dimensional KdV Type Equations

  Hongjuan Zhang, Xiong Meng, Dazhi Zhang, Boying Wu

  2024-11-18

  11506 1207 Pages:63-88

• A Cell-Centered Godunov Method Based on Staggered Data Distribution, Part I: One-Dimensional Case

  Jiayin Zhai, Xiao Li, Zhijun Shen

  2024-04-09

  26336 2006 Pages:1172-1196

• Dissipative Numerical Methods for the Hunter-Saxton Equation

  Yan Xu & Chi-Wang Shu

  2019-04-10

  36793 3348 Pages:606-620

• A Structure-Preserving Nonconforming FEM of Nonlinear Kirchhoff-Type Equation with Damping

  Junjun Wang, Dongyang Shi, Shuo Wang, Xuesong Che

  2026-01-26

  62 42

• A Variational Analysis for the Moving Finite Element Method for Gradient Flows

  Xianmin Xu

  2022-11-15

  300679 3179 Pages:191-210

• On Distributed $H^1$ Shape Gradient Flows in Optimal Shape Design of Stokes Flows: Convergence Analysis and Numerical Applications

  Jiajie Li, Shengfeng Zhu

  2022-10-06

  37585 3010 Pages:231-257