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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

  37288 4320 Pages:392-411 Open-access

• Efficient and Accurate Numerical Methods for Long-Wave Short-Wave Interaction Equations in the Semiclassical Limit Regime

  Tingchun Wang, Xiaofei Zhao, Mao Peng, Peng Wang

  2019-04-29

  43818 2996 Pages:645-665

• 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

• Non Spurious Spectral-Like Element Methods for Maxwell's Equations

  Gary Cohen, Marc Duruflé

  2007-06-02

  33597 3824 Pages:282-304

• Shock and Boundary Structure Formation by Spectral-Lagrangian Methods for the Inhomogeneous Boltzmann Transport Equation

  Irene M. Gamba, Sri Harsha Tharkabhushanam

  2018-08-22

  34890 3482 Pages:430-460

• On Spectral Methods for Volterra Integral Equations and the Convergence Analysis

  Tao Tang, Xiang Xu, Jin Cheng

  2021-07-01

  32905 3745 Pages:825-837

• 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

  2740 328 Pages:1-34

• Numerical Methods for Maxwell's Equations in Inhomogeneous Media with Material Interfaces

  Wei Cai

  2004-04-02

  34130 3492 Pages:156-167

• 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

• Analysis of Arbitrary High Order Spectral Volume Method for Hyperbolic Conservation Laws over Rectangular Meshes

  Waixiang Cao, Zhimin Zhang, Qingsong Zou

  2025-09-05

  587 44 Pages:843–870

• A Spectral Method for Pantograph-Type Delay Differential Equations and Its Convergence Analysis

  Ishtiaq Ali, Hermann Brunner, Tao Tang

  2018-08-07

  33287 3557 Pages:254-265

• Jacobi Spectral Methods for Multiple-Dimensional Singular Differential Equations

  Li-Lian Wang, Ben-Yu Guo

  2003-06-02

  32411 3538 Pages:325-338