Search Results

• Uniform Error Bounds of an Energy-Preserving Exponential Wave Integrator Fourier Pseudo-Spectral Method for the Nonlinear Schrödinger Equation with Wave Operator and Weak Nonlinearity

  Jiyong Li

  2024-11-19

  14132 1153 Pages:280-314

• A Restarted and Randomized Algorithm for Evaluating Energy of Extremely Large-Scale Graph

  Gang Wu, Ke Li, Jianjian Wang

  2025-09-25

  289 165

• 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

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

  Chaoyu Quan, Tao Tang, Jiang Yang

  2024-11-21

  20137 1746 Pages:515-539

• 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

• 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

• Convergence Analysis on Iterative Methods for Semidefinite Systems

  Jinbiao Wu, Young-Ju Lee, Jinchao Xu, Ludmil Zikatanov

  2021-07-01

  32962 3899 Pages:797-815

• 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

  2527 244 Pages:165-190

• 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

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

  Xianmin Xu

  2022-11-15

  300813 3203 Pages:191-210

• 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

  28872 2486 Pages:980-1002

• 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

• Convergence Analysis for a Nonconforming Membrane Element on Anisotropic Meshes

  DY Shi, SC Chen, I Hagiwara

  2005-08-02

  33155 3345 Pages:373-382

• Numerical Studies of 2D Free Surface Waves with Fixed Bottom

  Ping-Wen Zhang, Xiao-Ming Zheng

  2002-08-02

  33233 3476 Pages:391-412

• Analysis of Multiphysics Finite Element Method for a Nonlinear Poroelasticity Model

  Zhihao Ge, Wenlong He

  2025-02-10

  357 175

• Error Analysis of Virtual Element Methods for the Time-Dependent Poisson-Nernst-Planck Equations

  Ying Yang, Ya Liu, Yang Liu, Shi Shu

  2024-11-21

  16304 1571 Pages:731-770

• The Exponential Scalar Auxiliary Variable Approach for the Landau-Lifshitz Equation

  Xinye Li, Sai Qi, Zhoushun Zheng

  2026-04-01

  43 33

• Two Novel Classes of Arbitrary High-Order Structure-Preserving Algorithms for Canonical Hamiltonian Systems

  Yonghui Bo, Wenjun Cai, Yushun Wang

  2023-04-25

  30948 2937 Pages:395-414

• Finite Element Method with Superconvergence for Nonlinear Hamiltonian Systems

  Chuanmiao Chen, Qiong Tang, Shufang Ru

  2018-08-22

  34189 3691 Pages:167-184

• 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

• 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

• A Simple Error Estimate of Discontinuous Galerkin Methods for Elliptic Equations with Low Regularity

  Kaifang Liu

  2025-11-26

  192 228

• 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

  37703 3051 Pages:231-257

• Error Reduction in Adaptive Finite Element Approximations of Elliptic Obstacle Problems

  Dietrich Braess, Carsten Carstensen, Ronald H. W. Hoppe

  2018-08-07

  33245 3410 Pages:148-169

• Stability Analysis and Application of the Exponential Time Differencing Schemes

  Qiang Du, Wenxiang Zhu

  2004-04-02

  33489 4395 Pages:200-209

• Finite Element Analysis of a Local Exponentially Fitted Scheme for Time-Dependent Convection-Diffusion Problems

  Xing-Ye Yue, Li-Shang Jiang, Tsi-Min Shih

  1999-06-02

  32797 3472 Pages:225-232

• Analysis of Arbitrary High Order Spectral Volume Method for Hyperbolic Conservation Laws over Rectangular Meshes

  Waixiang Cao, Zhimin Zhang, Qingsong Zou

  2025-09-05

  558 39 Pages:843–870