学术成果 - Publications

2025

The Neutron Transport Equation in Exact Differential Form

Liu, Dong, Liu, Yang, Dang, Haoning, Wang, Kai, Zhang, Bin, Wang, Fei, Liu, Zhouyu, Jiang, Yong

Science China Physics, Mechanics & Astronomy, Vol. 68, No. 7, 270511, 2025

Neutron Transport Differential Equation TOP Journal

DOI PDF

面向深度学习方法的间断系数微分方程变域积分弱解理论

刘东, 廖真, 刘洋

计算物理, 2025

Deep Learning Weak Solution Core Journal

CNKI PDF

二维分数阶强耦合薛定谔方程的保结构方法

谭凤, 冉茂华, 刘洋

四川师范大学学报（自然科学版）, Vol. 48, No. 5, 693-703, 2025

Coupled Schrödinger Structure-Preserving Core Journal

CNKI PDF

基于ResNet-PINN求解中子方程算法研究

牛艺晓, 李佳芳, 杨春, 刘洋, 赖秋宇, 符美蕊, 蒋毅

核动力工程, 2025, 45(1): 1-6

ResNet-PINN Neutron Diffusion Equation EI Journal Core Journal

CNKI PDF

2024

Arbitrarily High-Order Explicit Energy-Conserving Methods for the Generalized Nonlinear Fractional Schrödinger Wave Equations

Liu, Yang, Ran, Maohua

Mathematics and Computers in Simulation, Vol. 216, 126-144, 2024

Fractional Schrödinger Energy-Conserving TOP Journal

DOI PDF

非线性分数阶薛定谔波动方程的两类保结构数值方法

刘洋

硕士学位论文, 四川师范大学, 2024

Fractional Schrödinger Structure-Preserving Master Thesis

CNKI PDF

2023

Hamiltonian-Preserving Schemes for the Two-Dimensional Fractional Nonlinear Schrödinger Wave Equations

Liu, Yang, Ran, Maohua, Zhang, Li

Computers & Mathematics with Applications, Vol. 150, 54-69, 2023

Hamiltonian-Preserving Fractional Schrödinger Q1 Journal

DOI PDF

Higher-Order Energy-Preserving Difference Scheme for the Fourth-Order Nonlinear Strain Wave Equation

Tian, Zhihui, Ran, Maohua, Liu, Yang

Computers & Mathematics with Applications, Vol. 135, 124-133, 2023

Energy-Preserving Strain Wave Q1 Journal

DOI PDF

A High-Order Structure-Preserving Difference Scheme for Generalized Fractional Schrödinger Equation with Wave Operator

Zhang, Xi, Ran, Maohua, Liu, Yang, Zhang, Li

Mathematics and Computers in Simulation, Vol. 210, 532-546, 2023

Structure-Preserving Schrödinger Wave TOP Journal

DOI PDF

2021

An Efficient Difference Scheme for the Non-Fickian Time-Fractional Diffusion Equations with Variable Coefficient

Feng, Zhouping, Ran, Maohua, Liu, Yang

Applied Mathematics Letters, Vol. 121, 107489, 2021

Fractional Diffusion Difference Scheme Q1 Journal

DOI PDF

研究方向

传统数值计算

有限体积、有限差分方法的格式设计与分析，致力于发展高效精确的数值算法，特别是分数阶微分方程的保结构算法。

核科学智能计算

将深度学习与科学计算相结合，解决核工程中的中子输运、扩散等复杂问题，发展物理信息神经网络等前沿方法。

AI for Science

探索人工智能在科学计算中的应用，推动传统科学计算与现代AI技术的深度融合，为复杂物理问题提供新的求解思路。