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• Multiplicative Extrapolation Method for Constructing Higher Order Schemes for Ordinary Differential Equations

  Meng-Zhao Qin, Wei-Jie Zhu

  2021-07-01

  34668 3717 Pages:352-356

• 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

  2564 254 Pages:286-306

• 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

  140 129

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

  Hongzheng Ruan, Weihong Yang

  2024-11-13

  12013 1215 Pages:1656-1687

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

  Fuqiang Lu, Zhiyao Song, Zhuo Zhang

  2018-08-22

  35637 2827 Pages:462-478

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

  Ruihan Guo, Yan Xu

  2023-12-01

  31654 3073 Pages:111-133

• A General High-Order Multi-Domain Hybrid DG/WENO-FD Method for Hyperbolic Conservation Laws

  Jian Cheng, Kun Wang, Tiegang Liu

  2018-08-22

  38895 4795 Pages:30-48

• A Modified Weak Galerkin Finite Element Method for Singularly Perturbed Parabolic Convection-Diffusion-Reaction Problems

  Suayip Toprakseven, Fuzheng Gao

  2023-11-08

  27679 2590 Pages:1246-1280

• On an Incremental Version of the Chebyshev Method for the Matrix $p$-th Root

  S. Amat, S. Busquier, J.A. Ezquerro, M.A. Hernández-Verόn, N. Romero

  2025-10-30

  4493 312 Pages:1512-1523

• A Second Order Modified Characteristics Variational Multiscale Finite Element Method for Time-Dependent Navier-Stokes Problems

  Zhiyong Si, Jian Su, Yinnian He

  2018-08-22

  34958 4122 Pages:154-174

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

  Baiying Dong, Xiufeng Feng, Zhilin Li

  2022-11-08

  303354 3422 Pages:882-912

• A Fourth-Order Derivative-Free Operator Marching Method for Helmholtz Equation in Waveguides

  Ya Yan Lu

  2021-07-01

  32416 3428 Pages:719-729

• A Third Order Small Parameter Method and Its Nordsieck Expression

  Tian-Min Han

  2021-07-01

  32497 3761 Pages:315-321

• Global Finite Element Nonlinear Galerkin Method for the Penalized Navier-Stokes Equations

  Yin-Nian He, Yan-Ren Hou, Li-Quan Mei

  2021-07-01

  33531 3429 Pages:607-616

• A Singular Parameterized Finite Volume Method for the Advection-Diffusion Equation in Irregular Geometries

  Chang Yang, Meng Wu

  2019-04-29

  43790 3160 Pages:579-608

• 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

  37749 3863 Pages:509-521

• 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

  29550 2836 Pages:217-247

• 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

  41470 4662 Pages:195-222

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

  Ruihan Guo, Liangyue Ji, Yan Xu

  2018-08-22

  41313 3040 Pages:135-158

• Central Limit Theorem for Temporal Average of Backward Euler-Maruyama Method

  Diancong Jin

  2024-11-21

  16458 1482 Pages:588-614

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

  Mahboub Baccouch

  2024-01-16

  25420 2251 Pages:432-453

• High Order Finite Difference/Spectral Methods to a Water Wave Model with Nonlocal Viscosity

  Mohammad Tanzil Hasan, Chuanju Xu

  2020-05-19

  39588 3073 Pages:580-605

• A Sixth Order Averaged Vector Field Method

  Haochen Li, Yushun Wang, Mengzhao Qin

  2018-08-22

  38154 3046 Pages:479-498

• High Order Numerical Methods to Two Dimensional Heaviside Function Integrals

  Xin Wen

  2018-08-22

  34976 3873 Pages:305-323

• A Cascadic Multigrid Method for Semilinear Elliptic Equations

  Fei Xu, Fusheng Luo

  2018-08-23

  43680 5219 Pages:112-129

• 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

  19116 1932 Pages:705-734

• Symplectic RK Methods and Symplectic PRK Methods with Real Eigenvalues

  Hongyu Liu, Geng Sun

  2004-10-02

  34636 3513 Pages:769-776