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• Analysis on a Numerical Scheme with Second-Order Time Accuracy for Nonlinear Diffusion Equations

  Xia Cui, Guangwei Yuan, Fei Zhao

  2021-10-15

  40611 3073 Pages:777-800

• An Efficient ADER Discontinuous Galerkin Scheme for Directly Solving Hamilton-Jacobi Equation

  Junming Duan, Huazhong Tang

  2020-02-06

  41168 4321 Pages:58-83

• Hermite WENO Schemes with Strong Stability Preserving Multi-Step Temporal Discretization Methods for Conservation Laws

  Xiaofeng Cai, Jun Zhu, Jianxian Qiu

  2018-08-22

  39328 4325 Pages:52-73

• 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

  295653 2923 Pages:325-344

• A Novel Second Order Scheme with One Step for Forward Backward Stochastic Differential Equations

  Qiang Han, Shihao Lan, Quanxin Zhu

  2025-09-15

  208 63

• Two-Step Scheme for Backward Stochastic Differential Equations

  Qiang Han, Shaolin Ji

  2022-11-15

  300469 3126 Pages:287-304

• 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

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

  Tingchun Wang

  2018-08-22

  37537 4313 Pages:58-74

• Nonlinear Implicit One-Step Schemes for Solving Initial Value Problems for Ordinary Differential Equation with Steep Gradients

  Jia-Chang Sun, Ken Jackson

  1983-01-01

  33879 3486 Pages:264-281

• 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

• A Trilayer Difference Scheme for One-Dimensional Parabolic Systems

  Guang-Nan Chen

  1990-08-01

  33261 3702 Pages:55-64

• Two-Grid Finite Element Method for Time-Fractional Nonlinear Schrödinger Equation

  Hanzhang Hu, Yanping Chen, Jianwei Zhou

  2024-04-09

  26603 2095 Pages:1124-1144

• 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

• 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

• 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

• Local Pressure Correction for the Stokes System

  Malte Braack, Utku Kaya

  2020-02-06

  43557 4878 Pages:125-141

• High Resolution Schemes for Conservation Laws and Convection-Diffusion Equations with Varying Time and Space Grids

  Hua-Zhong Tang & Gerald Warnecke

  2006-04-02

  31962 3380 Pages:121-140

• Mixed Finite Element Methods for Fractional Navier-Stokes Equations

  Xiaocui Li, Xu You

  2021-06-10

  42366 4342 Pages:130-146

• Unconditionally Optimal Error Analysis of the Second-Order BDF Finite Element Method for the Kuramoto-Tsuzuki Equation

  Yuan Li, Xuewei Cui

  2022-11-15

  301854 3236 Pages:211-223

• 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

  41508 2974 Pages:708-732

• Stability for Imposing Absorbing Boundary Conditions in the Finite Element Simulation of Acoustic Wave Propagation

  Wensheng Zhang, Eric T. Chung & Chaowei Wang

  2018-08-22

  38412 5768 Pages:1-20

• Reconstruction-Based a Posteriori Error Estimates for the L1 Method for Time Fractional Parabolic Problems

  Jiliang Cao, Aiguo Xiao, Wansheng Wang

  2024-11-19

  11747 1061 Pages:345-368

• An Adaptive Fast Interface Tracking Method

  Yana Di, Jelena Popovic, Olof Runborg

  2021-07-01

  37558 3707 Pages:576-586

• Iterative Corrections and a Posteriori Error Estimate for Integral Equations

  Qin Lin, Jun Shi

  2021-07-01

  34498 3484 Pages:297-300

• A New Stabilized Subgrid Eddy Viscosity Method Based on Pressure Projection and Extrapolated Trapezoidal Rule for the Transient Navier-Stokes Equations

  Minfu Feng, Yanhong Bai, Yinnian He & Yanmei Qin

  2018-08-22

  33973 3712 Pages:415-440

• General Full Implicit Strong Taylor Approximations for Stiff Stochastic Differential Equations

  Kai Liu, Guiding Gu

  2022-10-06

  38266 3303 Pages:541-569

• An Exponential Wave Integrator Pseudospectral Method for the Symmetric Regularized-Long-Wave Equation

  Xiaofei Zhao

  2018-08-22

  37851 4842 Pages:49-69