Vol. 16 No. 1 (2023)

Articles

Convergent and Orthogonality Preserving Schemes for Approximating the Kohn-Sham Orbitals

Xiaoying Dai, Liwei Zhang, Aihui Zhou
- Preview
- Full PDF
39353 3560 Pages:1-25
Application of Adapted-Bubbles to the Helmholtz Equation with Large Wavenumbers in 2D

Adem Kaya
- Preview
- Full PDF
33776 3130 Pages:26-57
Sparse Deep Neural Network for Nonlinear Partial Differential Equations

Yuesheng Xu, Taishan Zeng
- Preview
- Full PDF
34347 3078 Pages:58-78
Semi-Discrete and Fully Discrete Weak Galerkin Finite Element Methods for a Quasistatic Maxwell Viscoelastic Model

Jihong Xiao, Zimo Zhu, Xiaoping Xie
- Preview
- Full PDF
33423 3119 Pages:79-110
A Study on CFL Conditions for the DG Solution of Conservation Laws on Adaptive Moving Meshes

Min Zhang, Weizhang Huang, Jianxian Qiu
- Preview
- Full PDF
34844 3125 Pages:111-139
Error Estimate of a New Conservative Finite Difference Scheme for the Klein-Gordon-Dirac System

Shasha Bian, Yue Cheng, Boling Guo, Tingchun Wang
- Preview
- Full PDF
34778 3174 Pages:140-164
An Energy Stable Filtered Backward Euler Scheme for the MBE Equation with Slope Selection

Jiexin Wang, Hong-Lin Liao, Ying Zhao
- Preview
- Full PDF
34364 3094 Pages:165-181
A Second-Order Semi-Implicit Method for the Inertial Landau-Lifshitz-Gilbert Equation

Panchi Li, Lei Yang, Jin Lan, Rui Du, Jingrun Chen
- Preview
- Full PDF
38348 3196 Pages:182-203
A Structure-Preserving JKO Scheme for the Size-Modified Poisson-Nernst-Planck-Cahn-Hilliard Equations

Jie Ding, Xiang Ji
- Preview
- Full PDF
33538 3125 Pages:204-229
Constructing Order Two Superconvergent WG Finite Elements on Rectangular Meshes

Xiu Ye, Shangyou Zhang
- Preview
- Full PDF
33624 3032 Pages:230-241
The Direct Method of Lines for Forward and Inverse Linear Elasticity Problems of Composite Materials in Star-Shaped Domains

Xiaopeng Zhu, Zhizhang Wu, Zhongyi Huang
- Preview
- Full PDF
33711 3031 Pages:242-276