Special Issue Dedicated to Professor Tao Tang's 60th Birthday

The Random Feature Method for Time-Dependent Problems
Jing-Run Chen, Weinan E & Yi-Xin Luo

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

High-Order Spectral Difference Gas-Kinetic Schemes for Euler and Navier-Stokes Equations
Qing Xie, Xing Ji, Zihua Qiu, Chunlei Liang & Kun Xu

Approximation Analysis of Convolutional Neural Networks
Chenglong Bao, Qianxiao Li, Zuowei Shen, Cheng Tai, Lei Wu & Xueshuang Xiang

A New Class of Efficient SAV Schemes with Lagrange Multipliers for Dissipative Systems with Global Constraints
Yanrong Zhang & Jie Shen

Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator
Alina Chertock, Shaoshuai Chu & Alexander Kurganov

An Adaptive Finite Element DtN Method for Maxwell’s Equations
Gang Bao, Mingming Zhang, Xue Jiang, Peijun Li & Xiaokai Yuan

Regularized Numerical Methods for the Nonlinear Schrödinger Equation with Singular Nonlinearity
Weizhu Bao, Yue Feng & Ying Ma

An Implicit Staggered Hybrid Finite Volume/Finite Element Solver for the Incompressible Navier-Stokes Equations
Alessia Lucca, Saray Busto & Michael Dumbser

Time Complexity Analysis of Quantum Difference Methods for Multiscale Transport Equations
Xiaoyang He, Shi Jin & Yue Yu

Linearized Learning with Multiscale Deep Neural Networks for Stationary Navier-Stokes Equations with Oscillatory Solutions
Lizuo Liu, Bo Wang & Wei Cai

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