Search Results

• Semi-Implicit Spectral Deferred Correction Methods Based on Second-Order Time Integration Schemes for Nonlinear PDEs

  Ruihan Guo, Yan Xu

  2023-12-01

  31479 2997 Pages:111-133

• Quantitative Comparison Among Several Difference Schemes

  Lin-An Ni, Xiong-Hua Wu, Yong Wang & You-Lan Zhu

  2021-07-01

  33690 3438 Pages:310-327

• Numerical Analysis of Crank-Nicolson Scheme for the Allen-Cahn Equation

  Qianqian Chu, Guanghui Jin, Jihong Shen, Yuanfeng Jin

  2021-10-15

  42144 3159 Pages:655-665

• Error Estimates for Sparse Optimal Control Problems by Piecewise Linear Finite Element Approximation

  Xiaoliang Song, Bo Chen, Bo Yu

  2021-04-07

  41079 3265 Pages:471-492

• Exponentially Fitted Trapezoidal Scheme for a Stochastic Oscillator

  Xiuling Yin, Chengjian Zhang, Yanqin Liu

  2021-07-01

  36469 3764 Pages:801-813

• Convergence of an Immersed Interface Upwind Scheme for Linear Advection Equations with Piecewise Constant Coefficients I: $L^1$-Error Estimates

  Xin Wen & Shi Jin

  2018-08-15

  33350 4344 Pages:1-22

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

  Xiaojing Dong, Huayi Huang, Yunqing Huang

  2025-07-12

  6178 619 Pages:866-897

• A Fourth-Order Compact and Conservative Difference Scheme for the Generalized Rosenau-Korteweg de Vries Equation in Two Dimensions

  Jue Wang, Qingnan Zeng

  2019-04-29

  39865 2948 Pages:541-555

• A Second-Order Convex Splitting Scheme for a Cahn-Hilliard Equation with Variable Interfacial Parameters

  Xiao Li, Zhonghua Qiao, Hui Zhang

  2021-07-01

  37700 3979 Pages:693-710

• Robust High Order Convergence of an Overlapping Schwarz Method for Singularly Perturbed Semilinear Reaction-Diffusion Problems

  S. Chandra Sekhara Rao & Sunil Kumar

  2018-08-22

  37638 3828 Pages:509-521

• Approximation of Nonconforming Quasi-Wilson Element for Sine-Gordon Equations

  Dongyang Shi & Ding Zhang

  2018-08-22

  36358 3533 Pages:271-282

• A Two-Scale Higher-Order Finite Element Discretization for Schrödinger Equation

  Huajie Chen, Fang Liu & Aihui Zhou

  2018-08-07

  32922 3383 Pages:315-337

• On the $L_\infty$ Convergence and the Extrapolation Method of a Difference Scheme for Nonlocal Parabolic Equation with Natural Boundary Conditions

  Zheng-Su Wan, Zhi-Zhong Sun

  2001-10-02

  158 60 Pages:449-458

• 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

  32684 3447 Pages:225-232

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

  Ruihan Guo, Liangyue Ji, Yan Xu

  2018-08-22

  41159 3011 Pages:135-158

• A Stopping Criterion for Higher-Order Sweeping Schemes for Static Hamilton-Jacobi Equations

  Susana Serna & Jianliang Qian

  2018-08-22

  33658 3682 Pages:552-568

• 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

• An Efficient Finite Difference Method for Stochastic Linear Second-Order Boundary-Value Problems Driven by Additive White Noises

  Mahboub Baccouch

  2024-01-16

  25294 2201 Pages:432-453

• Variational Image Fusion with First and Second-Order Gradient Information

  Fang Li, Tieyong Zeng

  2018-08-22

  36716 2952 Pages:200-222

• The $L^1$-Error Estimates for a Hamiltonian-Preserving Scheme for the Liouville Equation with Piecewise Constant Potentials and Perturbed Initial Data

  Xin Wen

  2018-08-22

  32947 3681 Pages:26-48

• A Practical Parallel Difference Scheme for Parabolic Equations

  Jiaquan Gao

  2004-02-02

  33090 4104 Pages:55-60

• On Residual-Based a Posteriori Error Estimators for Lowest-Order Raviart-Thomas Element Approximation to Convection-Diffusion-Reaction Equations

  Shaohong Du & Xiaoping Xie

  2018-08-22

  38640 3664 Pages:522-546

• A Monotone Compact Implicit Scheme for Nonlinear Reaction-Diffusion Equations

  Yuanming Wang & Benyu Guo

  2018-08-07

  33699 3629 Pages:123-148

• An Unconditionally Stable Hybrid FE-FD Scheme for Solving a 3-D Heat Transport Equation in a Cylindrical Thin Film with Sub-Microscale Thickness

  Wei-Zhong Dai, Raja Nassar

  2021-08-05

  32912 3260 Pages:555-568

• Two-Step Scheme for Backward Stochastic Differential Equations

  Qiang Han, Shaolin Ji

  2022-11-15

  300469 3126 Pages:287-304

• One-Parameter Finite Difference Methods and Their Accelerated Schemes for Space-Fractional Sine-Gordon Equations with Distributed Delay

  Tao Sun, Chengjian Zhang, Haiwei Sun

  2024-04-08

  18985 1895 Pages:705-734

• A Symplectic Difference Scheme for the Infinite Dimensional Hamilton System

  Chun-Wang Li, Meng-Zhao Qin

  1988-06-01

  34843 3830 Pages:164-174