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• Spectral and Spectral Element Methods for High Order Problems with Mixed Boundary Conditions

  Benyu Guo, Tao Sun, Chao Zhang

  2018-08-22

  37285 4317 Pages:392-411 Open-access

• A Chebyshev-Gauss Spectral Collocation Method for Ordinary Differential Equations

  Xi Yang, Zhongqing Wang

  2018-08-22

  40238 4526 Pages:59-85

• Spectral Method for Mixed Inhomogeneous Boundary Value Problems in Three Dimensions

  Tianjun Wang, Benyu Guo, Wei Li

  2021-07-01

  36262 3900 Pages:579-600

• 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

  29548 2831 Pages:217-247

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

  Ruihan Guo, Yan Xu

  2023-12-01

  31653 3067 Pages:111-133

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

  Mohammad Tanzil Hasan, Chuanju Xu

  2020-05-19

  39587 3071 Pages:580-605

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

  Ruihan Guo, Liangyue Ji, Yan Xu

  2018-08-22

  41309 3038 Pages:135-158

• Spectral Solutions of a Fractional-Order Mathematical Model for Lung Cancer, Sensitivity Analysis, and Feedback Control

  Khadijeh Sadri, David Amilo, Evren Hincal

  2025-06-06

  619 40 Pages:747–778

• 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

  2556 250 Pages:286-306

• An Explicit Pseudo-Spectral Scheme with Almost Unconditional Stability for the Cahn-Hilliard Equation

  Bai-Nian Lu, Rui-Feng Zhang

  2000-04-02

  31459 3328 Pages:165-172

• Efficient Spectral Methods for Eigenvalue Problems of the Integral Fractional Laplacian on a Ball of Any Dimension

  Suna Ma, Huiyuan Li, Zhimin Zhang, Hu Chen, Lizhen Chen

  2024-04-09

  26304 2015 Pages:1032-1062

• Rational Spectral Collocation Method for a Coupled System of Singularly Perturbed Boundary Value Problems

  Suqin Chen, Yingwei Wang, Xionghua Wu

  2018-08-22

  34590 3804 Pages:458-473

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

  Xiaofei Zhao

  2018-08-22

  37968 4901 Pages:49-69

• Numerical Approximation of the Smoluchowski Equation Using Radial Basis Functions

  Christiane Helzel, Maximilian Schneiders

  2020-02-06

  41162 4435 Pages:176-194

• Convergence of Legendre Methods for Navier-Stokes Equations

  Zheng-Ting Chen, Wei-Nan E

  2021-07-01

  34229 3512 Pages:298-311

• Element Learning: A Systematic Approach of Accelerating Finite Element-Type Methods via Machine Learning, with Applications to Radiative Transfer

  Shukai Du, Samuel N. Stechmann

  2026-02-15

  2731 321 Pages:1-34

• A Neuron-Wise Subspace Correction Method for the Finite Neuron Method

  Jongho Park, Jinchao Xu, Xiaofeng Xu

  2025-10-30

  4478 301 Pages:1488-1511

• A New Pseudospectral Method on Quadrilaterals

  Benyu Guo, Hongli Jia

  2018-08-22

  39230 2983 Pages:365-384

• Jacobi Pseudospectral Method for Fourth Order Problems

  Zheng-su Wan, Ben-yu Guo, Zhong-qing Wang

  2006-08-02

  30493 3584 Pages:481-500

• Computing Eigenvectors of Normal Matrices with Simple Inverse Iteration

  Zhen-Yue Zhang, Tiang-Wei Ouyang

  2021-08-05

  33872 3246 Pages:657-670