Articles

• Preface: Special Issue Dedicated to Professor Tao Tang’s 60th Birthday

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  37658 2984 Pages:i-ii

• The Random Feature Method for Time-Dependent Problems

  Jing-Run Chen, Weinan E, Yi-Xin Luo

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  41024 4520 Pages:435-463 Open-access

• Stability of Spectral Collocation Schemes with Explicit-Implicit-Null Time-Marching for Convection-Diffusion and Convection-Dispersion Equations

  Meiqi Tan, Juan Cheng, Chi-Wang Shu

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  41103 3431 Pages:464-498 Open-access

• High-Order Spectral Difference Gas-Kinetic Schemes for Euler and Navier-Stokes Equations

  Qing Xie, Xing Ji, Zihua Qiu, Chunlei Liang, Kun Xu

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  46348 3228 Pages:499-523

• Approximation Analysis of Convolutional Neural Networks

  Chenglong Bao, Qianxiao Li, Zuowei Shen, Cheng Tai, Lei Wu, Xueshuang Xiang

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  38469 3404 Pages:524-549 Open-access

• A New Class of Efficient SAV Schemes with Lagrange Multipliers for Dissipative Systems with Global Constraints

  Yanrong Zhang, Jie Shen

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  35683 2806 Pages:550-575

• Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator

  Alina Chertock, Shaoshuai Chu, Alexander Kurganov

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  36363 2794 Pages:576-609

• An Adaptive Finite Element DtN Method for Maxwell’s Equations

  Gang Bao, Mingming Zhang, Xue Jiang, Peijun Li, Xiaokai Yuan

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  47210 3212 Pages:610-645

• Regularized Numerical Methods for the Nonlinear Schrödinger Equation with Singular Nonlinearity

  Weizhu Bao, Yue Feng, Ying Ma

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  113370 218041 Pages:646-670

• An Implicit Staggered Hybrid Finite Volume/Finite Element Solver for the Incompressible Navier-Stokes Equations

  Alessia Lucca, Saray Busto, Michael Dumbser

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  35852 2691 Pages:671-716

• Time Complexity Analysis of Quantum Difference Methods for Multiscale Transport Equations

  Xiaoyang He, Shi Jin, Yue Yu

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  35265 3004 Pages:717-739 Open-access

• Linearized Learning with Multiscale Deep Neural Networks for Stationary Navier-Stokes Equations with Oscillatory Solutions

  Lizuo Liu, Bo Wang, Wei Cai

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  36293 3192 Pages:740-758 Open-access

• Extension of the ENO-ET Reconstruction Scheme to Two Space Dimensions on Cartesian Meshes in Conjunction with the ADER Approach

  Gino I. Montecinos, Eleuterio F. Toro

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  35395 2685 Pages:759-790