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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

  34469 3656 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

  2025-11-20

  1336 63 Pages:286-306

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

  Hongzheng Ruan, Weihong Yang

  2024-11-13

  11719 1131 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

  35386 2765 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

  31302 2846 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

  38693 4678 Pages:30-48

• 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

  3989 228 Pages:1512-1523

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

  Suayip Toprakseven, Fuzheng Gao

  2023-11-08

  27424 2499 Pages:1246-1280

• 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

  34747 4067 Pages:154-174

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

  Baiying Dong, Xiufeng Feng, Zhilin Li

  2022-11-08

  303064 3357 Pages:882-912

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

  Ya Yan Lu

  2021-07-01

  32250 3373 Pages:719-729

• A Third Order Small Parameter Method and Its Nordsieck Expression

  Tian-Min Han

  2021-07-01

  32302 3719 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

  33332 3383 Pages:607-616

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

  Chang Yang, Meng Wu

  2019-04-29

  43593 3108 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

  37522 3808 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

  29167 2642 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

  41255 4504 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

  41007 2977 Pages:135-158

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

  Diancong Jin

  2024-11-21

  16032 1386 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

  25076 2156 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

  39338 3005 Pages:580-605

• A Sixth Order Averaged Vector Field Method

  Haochen Li, Yushun Wang, Mengzhao Qin

  2018-08-22

  37909 2958 Pages:479-498

• High Order Numerical Methods to Two Dimensional Heaviside Function Integrals

  Xin Wen

  2018-08-22

  34753 3796 Pages:305-323

• A Cascadic Multigrid Method for Semilinear Elliptic Equations

  Fei Xu, Fusheng Luo

  2018-08-23

  43480 5111 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

  18870 1851 Pages:705-734

• A New Analytical Study for Multi-Dimensional Navier-Stokes Equations with Time-Fractional Order

  Hegagi Mohamed Ali

  2025-04-08

  118 24

• Symplectic RK Methods and Symplectic PRK Methods with Real Eigenvalues

  Hongyu Liu, Geng Sun

  2004-10-02

  34456 3461 Pages:769-776