Vol. 32 No. 2 (2022)

Articles

MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

Lulu Zhang, Tao Luo, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu, Zheng Ma
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306975 3553 Pages:299-335
Frame Invariance and Scalability of Neural Operators for Partial Differential Equations

Muhammad I. Zafar, Jiequn Han, Xu-Hui Zhou, Heng Xiao
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303702 3397 Pages:336-363
Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

Jiayin Li, Chi-Wang Shu, Jianxian Qiu
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302871 3313 Pages:364-400
Solving Time Dependent Fokker-Planck Equations via Temporal Normalizing Flow

Xiaodong Feng, Li Zeng, Tao Zhou
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308724 3524 Pages:401-423
An Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites

Zihao Yang, Shaoqi Zheng, Fei Han, Shangkun Shen, Xiaofei Guan
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303082 3384 Pages:424-449
A Quantitative Comparison of Physical Accuracy and Numerical Stability of Lattice Boltzmann Color Gradient and Pseudopotential Multicomponent Models for Microfluidic Applications

Karun P. N. Datadien, Gianluca Di Staso, Herman M. A. Wijshoff, Federico Toschi
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302046 3328 Pages:450-489
A NURBS-Enhanced Finite Volume Method for Steady Euler Equations with Goal-Oriented $h$-Adaptivity

Xucheng Meng, Guanghui Hu
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303006 3783 Pages:490-523 Open-access
A Holomorphic Operator Function Approach for the Transmission Eigenvalue Problem of Elastic Waves

Yingxia Xi, Xia Ji
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301573 3308 Pages:524-546
A RKDG Method for 2D Lagrangian Ideal Magnetohydrodynamics Equations with Exactly Divergence-Free Magnetic Field

Shijun Zou, Xiaolong Zhao, Xijun Yu, Zihuan Dai
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301266 3326 Pages:547-582
Modeling of Bound Electron Effects in Particle-in-Cell Simulation

Xiangyan An, Min Chen, Zheng-Ming Sheng, Jie Zhang
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299744 3152 Pages:583-594