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• The Optimal Convergence Order of the Discontinuous Finite Element Methods for First Order Hyperbolic Systems

  Tie Zhang, Datao Shi & Zhen Li

  2018-08-07

  32578 3628 Pages:689-701

• 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

• 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

• Fast Algorithms for Higher-Order Singular Value Decomposition from Incomplete Data

  Yangyang Xu

  2019-02-12

  38562 2950 Pages:397-422

• Stability and Convergence Analysis of Second-Order Schemes for a Diffuse Interface Model with Peng-Robinson Equation of State

  Qiujin Peng, Zhonghua Qiao, Shuyu Sun

  2021-07-01

  36547 3746 Pages:737-765

• 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

• A Stochastic Newton Method for Nonlinear Equations

  Jiani Wang, Xiao Wang, Liwei Zhang

  2023-11-08

  27984 2667 Pages:1192-1221

• A Compact Fourth-Order Finite Difference Scheme for the Improved Boussinesq Equation with Damping Terms

  Fuqiang Lu, Zhiyao Song, Zhuo Zhang

  2018-08-22

  35511 2796 Pages:462-478

• Adaptive Regularized Quasi-Newton Method Using Inexact First-Order Information

  Hongzheng Ruan, Weihong Yang

  2024-11-13

  11873 1181 Pages:1656-1687

• A High Order Scheme for Fractional Differential Equations with the Caputo-Hadamard Derivative

  Xingyang Ye, Junying Cao, Chuanju Xu

  2024-11-21

  16241 1498 Pages:615-640

• 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

• The Numerical Solution of Second-Order Weakly Singular Volterra Integro-Differential Equations

  Tao Tang & Wei Yuan

  2021-07-01

  33586 3286 Pages:307-320

• 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

• Strong Convergence of the Euler-Maruyama Method for a Class of Stochastic Volterra Integral Equations

  Wei Zhang

  2022-10-06

  39078 3148 Pages:607-623

• Strong Convergence of a Fully Discrete Finite Element Method for a Class of Semilinear Stochastic Partial Differential Equations with Multiplicative Noise

  Xiaobing Feng, Yukun Li, Yi Zhang

  2021-07-05

  40217 2865 Pages:574-598

• Alternating Direction Implicit Schemes for the Two-Dimensional Time Fractional Nonlinear Super-Diffusion Equations

  Jianfei Huang, Yue Zhao, Sadia Arshad, Kuangying Li, Yifa Tang

  2019-04-29

  42067 3002 Pages:297-315

• An $L^{\infty}$ Second Order Cartesian Method for 3D Anisotropic Interface Problems

  Baiying Dong, Xiufeng Feng, Zhilin Li

  2022-11-08

  303224 3392 Pages:882-912

• Second-Order Convergence Properties of Trust-Region Methods Using Incomplete Curvature Information, with an Application to Multigrid Optimization

  Serge Gratton, Annick Sartenaer & Philippe L. Toint

  2021-07-01

  30844 3411 Pages:676-692

• Convergence Analysis of Parareal Algorithm Based on Milstein Scheme for Stochastic Differential Equations

  Liying Zhang, Jing Wang, Weien Zhou, Landong Liu, Li Zhang

  2020-03-24

  40349 2893 Pages:487-501

• Weak Convergence Analysis of a Splitting-up Method for Stochastic Differential Equations

  Minxing Zhang, Yongkui Zou

  2026-04-15

  2821 112 Pages:427-445

• 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

• Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

  Lina Wang, Qian Tong, Lijun Yi, Mingzhu Zhang

  2023-12-01

  29360 2742 Pages:217-247

• 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

• Second-Order Numerical Schemes for Decoupled Forward-Backward Stochastic Differential Equations with Jumps

  Weidong Zhao, Wei Zhang, Guannan Zhang

  2018-08-22

  36112 2872 Pages:213-244

• 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

• Boundary Value Methods for Caputo Fractional Differential Equations

  Yongtao Zhou, Chengjian Zhang, Huiru Wang

  2021-06-10

  43145 4717 Pages:108-129