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• 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 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

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

  Xiaobing Feng, Michael Neilan

  2018-08-22

  33573 3632 Pages:331-353

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

  Ruimin Gao, Dongfang Li, Hongyu Qin

  2025-11-26

  268 293

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

  Zhihao Ge, Wenlong He

  2025-02-10

  357 175

• Analysis of a Mixed Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformation

  Qiang Du, Liyong Zhu

  2006-06-02

  33358 3390 Pages:265-280

• Energy Estimates for Delay Diffusion-Reaction Equations

  J. A. Ferreira, P. M. da Silva

  2018-08-07

  31821 3460 Pages:536-553

• 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

• 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

  11683 1266 Pages:63-88

• 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

• 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

  28279 2565 Pages:289-312

• 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 3450 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

  3196 182 Pages:349-368

• Penalty-Factor-Free Stabilized Nonconforming Finite Elements for Solving Stationary Navier-Stokes Equations

  Linshuang He, Minfu Feng, Qiang Ma

  2022-10-06

  40313 3034 Pages:728-755

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

  Kaifang Liu

  2025-11-26

  192 228

• Numerical Analysis of a Problem Involving a Viscoelastic Body with Double Porosity

  Noelia Bazarra, José R. Fernández, Mari Carme Leseduarte, Antonio Magaña, Ramón Quintanilla

  2022-10-06

  45428 3051 Pages:415-436

• Graded Meshes for Higher Order FEM

  Hans-Görg Roos, L. Teofanov, Zorica Uzelac

  2018-08-22

  41530 4740 Pages:1-16

• 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

  37483 4479 Pages:665-686 Open-access

• 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

• 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

• 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

• 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

  35187 4048 Pages:332-347

• Multisymplectic Fourier Pseudospectral Method for the Nonlinear Schrödinger Equations with Wave Operator

  Jian Wang

  2018-08-15

  285 146 Pages:31-48

• The Mortar Element Method for a Nonlinear Biharmonic Equation

  ZC Shi, XJ Xu

  2005-10-02

  33724 3439 Pages:537-560

• 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

• 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

• A Stabilizer Free Weak Galerkin Finite Element Method for Brinkman Equations

  Haoning Dang, Qilong Zhai, Ran Zhang, Hui Peng

  2024-11-18

  14327 1422 Pages:1-17