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

  14141 1154 Pages:280-314

• The Best $L^2$ Norm Error Estimate of Lower Order Finite Element Methods for the Fourth Order Problem

  Jun Hu, Zhong-Ci Shi

  2018-08-22

  36479 3442 Pages:449-460

• A Posteriori Energy-Norm Error Estimates for Advection-Diffusion Equations Approximated by Weighted Interior Penalty Methods

  Alexandre Ern, Annette F. Stephansen

  2018-08-07

  31626 3451 Pages:488-510

• A Posteriori Error Estimates of the Weak Galerkin Finite Element Method for Poisson-Nernst-Planck Equations

  Wanwan Zhu, Guanghua Ji

  2026-04-15

  3217 188 Pages:349-368

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

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

  2018-08-07

  33247 3416 Pages:148-169

• 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

  16305 1577 Pages:731-770

• Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime

  Gengen Zhang, Chunmei Su

  2023-12-01

  28283 2574 Pages:289-312

• A Priori and a Posteriori Error Estimates of a Weakly Over-Penalized Interior Penalty Method for Non-Self-Adjoint and Indefinite Problems

  Yuping Zeng, Jinru Chen, Feng Wang, Yanxia Meng

  2018-08-22

  35191 4050 Pages:332-347

• Finite Element Methods for a Bi-Wave Equation Modeling D-Wave Superconductors

  Xiaobing Feng, Michael Neilan

  2018-08-22

  33574 3634 Pages:331-353

• 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

  25642 2226 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

  2550 250 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

  268 300

• A First-Order, Semi-Implicit, and Unconditionally Energy-Stable Scheme for an Incompressible Ferrohydrodynamics Flow

  Xiaojing Dong, Huayi Huang, Yunqing Huang

  2025-07-12

  6342 648 Pages:866-897

• High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

  Ruihan Guo, Liangyue Ji, Yan Xu

  2018-08-22

  41311 3038 Pages:135-158

• 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

  2558 254 Pages:286-306

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

  Kaifang Liu

  2025-11-26

  193 239

• A Posteriori Error Estimates for Local $C^0$ Discontinuous Galerkin Methods for Kirchhoff Plate Bending Problems

  Yifeng Xu, Jianguo Huang, Xuehai Huang

  2021-07-01

  37486 4486 Pages:665-686 Open-access

• Error Estimate on a Fully Discrete Local Discontinuous Galerkin Method for Linear Convection-Diffusion Problem

  Haijin Wang, Qiang Zhang

  2018-08-22

  36691 3693 Pages:283-307

• Convergence of Adaptive Edge Element Methods for the 3D Eddy Currents Equations

  R. H. W. Hoppe, J. Schoeberl

  2018-08-07

  33913 3331 Pages:657-676

• Crank-Nicolson Galerkin Approximations for Logarithmic Klein-Gordon Equation

  Fang Chen, Meng Li, Yanmin Zhao

  2024-11-21

  16293 1462 Pages:641-672

• Optimal Point-Wise Error Estimate of a Compact Finite Difference Scheme for the Coupled Nonlinear Schrödinger Equations

  Tingchun Wang

  2018-08-22

  37654 4366 Pages:58-74

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

  Xinye Li, Sai Qi, Zhoushun Zheng

  2026-04-01

  45 35

• Finite Element Method with Superconvergence for Nonlinear Hamiltonian Systems

  Chuanmiao Chen, Qiong Tang, Shufang Ru

  2018-08-22

  34190 3692 Pages:167-184

• From Energy Improvement to Accuracy Enhancement: Improvement of Plate Bending Elements by the Combined Hybrid Method

  Xiaoping Xie

  2004-08-02

  32922 3242 Pages:581-592

• 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

  28874 2488 Pages:980-1002

• 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

  11692 1273 Pages:63-88

• Graded Meshes for Higher Order FEM

  Hans-Görg Roos, L. Teofanov, Zorica Uzelac

  2018-08-22

  41534 4746 Pages:1-16