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

  14137 1153 Pages:280-314

• Long-Time Oscillatory Energy Conservation of Total Energy-Preserving Methods for Highly Oscillatory Hamiltonian Systems

  Bin Wang, Xinyuan Wu

  2021-11-19

  41112 3929 Pages:70-88

• An Energy-Stable Parametric Finite Element Method for Simulating Solid-State Dewetting Problems in Three Dimensions

  Weizhu Bao, Quan Zhao

  2023-04-25

  32255 2818 Pages:771-796

• Stable Boundary Conditions and Discretization for $P_N$ Equations

  Jonas Bünger, Neeraj Sarna, Manuel Torrilhon

  2022-11-08

  302282 3480 Pages:977-1003

• 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

  2556 250 Pages:286-306

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

  Zhihao Ge, Wenlong He

  2025-02-10

  358 179

• Finite Element Method with Superconvergence for Nonlinear Hamiltonian Systems

  Chuanmiao Chen, Qiong Tang, Shufang Ru

  2018-08-22

  34189 3691 Pages:167-184

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

  Ruihan Guo, Liangyue Ji, Yan Xu

  2018-08-22

  41309 3038 Pages:135-158

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

  Waixiang Cao, Zhimin Zhang, Qingsong Zou

  2025-09-05

  570 40 Pages:843–870

• The Mortar Element Method for a Nonlinear Biharmonic Equation

  ZC Shi, XJ Xu

  2005-10-02

  33725 3440 Pages:537-560

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

  Kai Liu, Xinyuan Wu, Wei Shi

  2021-07-01

  39945 3735 Pages:780-800

• A Sixth Order Averaged Vector Field Method

  Haochen Li, Yushun Wang, Mengzhao Qin

  2018-08-22

  38150 3044 Pages:479-498

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

  Haoning Dang, Qilong Zhai, Ran Zhang, Hui Peng

  2024-11-18

  14334 1426 Pages:1-17

• A Uniform Convergent Petrov-Galerkin Method for a Class of Turning Point Problems

  Li Feng, Zhongyi Huang

  2024-07-18

  23789 1679 Pages:1356-1379

• A Fast Compact Difference Method for Two-Dimensional Nonlinear Space-Fractional Complex Ginzburg-Landau Equations

  Lu Zhang, Qifeng Zhang, Hai-Wei Sun

  2021-10-15

  41626 3005 Pages:708-732

• Error Estimates of the Finite Element Method with Weighted Basis Functions for a Singularly Perturbed Convection-Diffusion Equation

  Xianggui Li, Xijun Yu, Guangnan Chen

  2018-08-22

  33733 3816 Pages:227-242

• 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

  28282 2570 Pages:289-312

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

  Xianmin Xu

  2022-11-15

  300816 3203 Pages:191-210

• The Plateau-Bézier Problem with Weak-Area Functional

  Yongxia Hao

  2021-07-01

  42491 3875 Pages:868-878

• Efficient Linear Schemes with Unconditional Energy Stability for the Phase Field Model of Solid-State Dewetting Problems

  Jie Chen, Zhengkang He, Shuyu Sun, Shimin Guo, Zhangxin Chen

  2020-03-24

  39637 2930 Pages:452-468

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

  Jiayin Zhai, Xiao Li, Zhijun Shen

  2024-04-09

  26457 2039 Pages:1172-1196

• Exponentially Fitted Local Discontinuous Galerkin Method for Convection-Diffusion Problems

  Tao Yu, Xingye Yue

  2012-06-02

  34935 3535 Pages:298-310

• Dissipative Numerical Methods for the Hunter-Saxton Equation

  Yan Xu, Chi-Wang Shu

  2019-04-10

  36959 3399 Pages:606-620

• On the Finite Element Approximation of Systems of ​Reaction-Diffusion Equations by $p/hp$ Methods

  Christos Xenophontos, Lisa Oberbroeckling

  2018-08-22

  35255 3550 Pages:386-400

• The Structure-Preserving Methods for the Degasperis-Procesi Equation

  Yuze Zhang, Yushun Wang, Yanhong Yang

  2019-04-29

  41191 3216 Pages:475-487

• Reconstructed Discontinuous Approximation to Stokes Equation in a Sequential Least Squares Formulation

  Ruo Li, Fanyi Yang

  2022-12-01

  296437 4005 Pages:39-71

• Convergence of Numerical Schemes for a Conservation Equation with Convection and Degenerate Diffusion

  R. Eymard, C. Guichard, Xavier Lhébrard

  2021-04-07

  41949 3277 Pages:428-452