Vol. 39 No. 1 (2026)

Articles

First-Principle-Like Reinforcement Learning of Nonlinear Numerical Schemes for Conservation Laws

Hao-Chen Wang, Meilin Yu, Heng Xiao
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3085 283 Pages:1-28
Bound-Preserving Point-Average-Moment PolynomiAl-Interpreted (PAMPA) Scheme: One-Dimensional Case

Rémi Abgrall, Miaosen Jiao, Yongle Liu, Kailiang Wu
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3008 246 Pages:29-58
Generalized Lagrangian Neural Networks

Shanshan Xiao, Jiawei Zhang, Yifa Tang
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3071 294 Pages:59-77
Vortex Spline Method for Two-Dimensional Rayleigh-Taylor Interfaces Between Inviscid and Perfect Dielectric Fluids with External Electric Fields

Wenxuan Guo, Qiang Zhang
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2944 160 Pages:78-118
An Efficient Time-Splitting Method to Simulate the Dynamics of Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates

Xiaolan Chen, Yongjun Yuan, Yong Zhang
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2966 201 Pages:119-146
Improved Randomized Neural Network Methods with Boundary Processing for Solving Elliptic Equations

Huifang Zhou, Zhiqiang Sheng
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2938 187 Pages:147-184
Computational Method of Grain Boundary Energy Consistent for Different Orientations and Applications to Double Gyroid Beyond Twinning

Jing Chen, Kai Jiang, Zhangpeng Sun, Jie Xu
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2966 214 Pages:185-214
Total Variation Distance-Enhanced Selective Segmentation for Medical Images

Po-Wen Hsieh, Chung-Lin Tseng, Suh-Yuh Yang
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2980 220 Pages:215-239
Numerical Modeling of Flocking Dynamics with Topological Interactions

Marta Menci, Thierry Paul, Stefano Rossi, Tommaso Tenna
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3063 204 Pages:240-260
A Novel Structure-Preserving Algorithm with Green’s Function Approach for Computing Band Structures of Photonic Quasicrystals

Tiexiang Li, Xing-Long Lyu, Ren-Cang Li, Wen-Wei Lin
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3029 210 Pages:261-295
RBMD: A Molecular Dynamics Package Enabling to Simulate 10 Million All-Atom Particles in a Single Graphics Processing Unit

Weihang Gao, Teng Zhao, Yongfa Guo, Jiuyang Liang, Huan Liu, Maoying Luo, Zedong Luo, Wei Qin, Yichao Wang, Qi Zhou, Shi Jin, Zhenli Xu
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3197 227 Pages:296-322