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  • Exponential Fourier Collocation Methods for Solving First-Order Differential Equations

    Bin Wang, Xinyuan Wu, Fanwei Meng, Yonglei Fang
    2021-07-01
    41115 3786 Pages:711-736
  • The Best $L^2$ Norm Error Estimate of Lower Order Finite Element Methods for the Fourth Order Problem

    Jun Hu & Zhong-Ci Shi
    2018-08-22
    36355 3406 Pages:449-460
  • A General High-Order Multi-Domain Hybrid DG/WENO-FD Method for Hyperbolic Conservation Laws

    Jian Cheng, Kun Wang, Tiegang Liu
    2018-08-22
    38783 4741 Pages:30-48
  • 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
    2265 160 Pages:286-306
  • Analysis of a Multi-Term Variable-Order Time-Fractional Diffusion Equation and Its Galerkin Finite Element Approximation

    Huan Liu, Xiangcheng Zheng, Hongfei Fu
    2022-10-06
    40642 3026 Pages:814-834
  • Numerical Boundary Conditions for the Fast Sweeping High Order WENO Methods for Solving the Eikonal Equation

    Ling Huang, Chi-Wang Shu & Mengping Zhang
    2018-08-07
    32458 3717 Pages:336-346
  • Multiplicative Extrapolation Method for Constructing Higher Order Schemes for Ordinary Differential Equations

    Meng-Zhao Qin, Wei-Jie Zhu
    2021-07-01
    34564 3676 Pages:352-356
  • Mixed Interior Penalty Discontinuous Galerkin Methods for One-Dimensional Fully Nonlinear Second Order Elliptic and Parabolic Equations

    Xiaobing Feng & Thomas Lewis
    2018-08-22
    36870 4874 Pages:107-135 Open-access
  • High Order Numerical Methods to Two Dimensional Heaviside Function Integrals

    Xin Wen
    2018-08-22
    34859 3828 Pages:305-323
  • Simplified Explicit Exponential Runge-Kutta Methods Without Order Reduction

    Begoña Cano, María Jesús Moreta
    2025-10-30
    4318 258 Pages:1604-1620
  • 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
  • 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
  • Efficient and Accurate Chebyshev Dual-Petrov-Galerkin Methods for Odd-Order Differential Equations

    Xuhong Yu, Lusha Jin, Zhongqing Wang
    2021-06-10
    42305 4309 Pages:43-62
  • High Order Finite Difference/Spectral Methods to a Water Wave Model with Nonlocal Viscosity

    Mohammad Tanzil Hasan, Chuanju Xu
    2020-05-19
    39464 3041 Pages:580-605
  • A Sixth Order Averaged Vector Field Method

    Haochen Li, Yushun Wang, Mengzhao Qin
    2018-08-22
    38032 2991 Pages:479-498
  • 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
  • Variational Image Fusion with First and Second-Order Gradient Information

    Fang Li, Tieyong Zeng
    2018-08-22
    36716 2952 Pages:200-222
  • On the Construction of Well-Conditioned Hierarchical Bases for Tetrahedral $\mathcal{H}{(curl)}$-Conforming Nédélec Elements

    Jianguo Xin, Nailong Guo, & Wei Cai
    2018-08-22
    35109 3963 Pages:526-542
  • A Compact Upwind Second Order Scheme for the Eikonal Equation

    J.-D.Benamou, Songting Luo & Hongkai Zhao
    2018-08-22
    34712 3876 Pages:489-516
  • 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
  • High-Order I-Stable Centered Difference Schemes for Viscous Compressible Flows

    Weizhu Bao & Shi Jin
    2003-02-02
    34414 4242 Pages:101-112
  • A Novel TGMFECN Dimension Reduction Method Based on POD for the Improved Nonlinear Fourth-Order Cahn-Hilliard Equations

    Huanrong Li, Yuejie Li, Liang He, Zhendong Luo
    2025-12-28
    86 71
  • Order Results for Algebraically Stable Mono-Implicit Runge-Kutta Methods

    Ai-Guo Xiao
    2021-07-01
    34332 3643 Pages:639-644
  • A Third Order Small Parameter Method and Its Nordsieck Expression

    Tian-Min Han
    2021-07-01
    32397 3734 Pages:315-321
  • An Error Analysis Method SPP-BEAM and a Construction Guideline of Nonconforming Finite Elements for Fourth Order Elliptic Problems

    Jun Hu, Shangyou Zhang
    2020-02-06
    41359 4574 Pages:195-222
  • A First-Order Numerical Scheme for Forward-Backward Stochastic Differential Equations in Bounded Domains

    Jie Yang, Guannan Zhang, Weidong Zhao
    2019-02-12
    39511 2916 Pages:237-258
  • 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
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