Based on the perspective of big data,the growth characteristics of marine science and technology talents were analyzed,and the growth of marine science and technology talents was divided into five periods:study period...Based on the perspective of big data,the growth characteristics of marine science and technology talents were analyzed,and the growth of marine science and technology talents was divided into five periods:study period,adaptation period,growth period,promotion period and stability period.Moreover,some suggestions for the training of marine science and technology talents were proposed from the aspects of students,families,schools and society.展开更多
In this paper,we study the large-time behavior of periodic solutions for parabolic conservation laws.There is no smallness assumption on the initial data.We firstly get the local existence of the solution by the itera...In this paper,we study the large-time behavior of periodic solutions for parabolic conservation laws.There is no smallness assumption on the initial data.We firstly get the local existence of the solution by the iterative scheme,then we get the exponential decay estimates for the solution by energy method and maximum principle,and obtain the global solution in the same time.展开更多
为准确求解双曲守恒律,得到高分辨率数值结果,将数据驱动与三阶CCWENO(Compact Central Weighted Essentially Non-Oscillatory)格式相结合,提出了一种基于数据驱动的CCWENO-ANN高分辨率格式求解双曲守恒律。通过构建人工神经网络的归...为准确求解双曲守恒律,得到高分辨率数值结果,将数据驱动与三阶CCWENO(Compact Central Weighted Essentially Non-Oscillatory)格式相结合,提出了一种基于数据驱动的CCWENO-ANN高分辨率格式求解双曲守恒律。通过构建人工神经网络的归一化校准层和稀疏化层,引入适当的先验知识,加快收敛速度;同时,损失函数动态地调整神经网络输出与理想权重之间的偏差,并在合适的数据集上采用监督学习策略进行离线训练,以提高神经网络性能。通过一维无粘Burgers方程、一维Euler方程、二维无粘Burgers方程以及二维Euler方程验证算法性能,结果表明本文提出的CCWENO-ANN继承了传统CCWENO格式的收敛性,能够准确捕捉激波和接触间断,具有鲁棒性强、低耗散和高分辨率的优点。展开更多
基金Supported by Foundation for Humanities and Social Sciences Research Planning of Ministry of Education of Shanghai City(19YJA630058)
文摘Based on the perspective of big data,the growth characteristics of marine science and technology talents were analyzed,and the growth of marine science and technology talents was divided into five periods:study period,adaptation period,growth period,promotion period and stability period.Moreover,some suggestions for the training of marine science and technology talents were proposed from the aspects of students,families,schools and society.
基金Foundation item： Supported by the National Science Foundation of China（1107116）
文摘In this paper,we study the large-time behavior of periodic solutions for parabolic conservation laws.There is no smallness assumption on the initial data.We firstly get the local existence of the solution by the iterative scheme,then we get the exponential decay estimates for the solution by energy method and maximum principle,and obtain the global solution in the same time.
文摘为准确求解双曲守恒律,得到高分辨率数值结果,将数据驱动与三阶CCWENO(Compact Central Weighted Essentially Non-Oscillatory)格式相结合,提出了一种基于数据驱动的CCWENO-ANN高分辨率格式求解双曲守恒律。通过构建人工神经网络的归一化校准层和稀疏化层,引入适当的先验知识,加快收敛速度;同时,损失函数动态地调整神经网络输出与理想权重之间的偏差,并在合适的数据集上采用监督学习策略进行离线训练,以提高神经网络性能。通过一维无粘Burgers方程、一维Euler方程、二维无粘Burgers方程以及二维Euler方程验证算法性能,结果表明本文提出的CCWENO-ANN继承了传统CCWENO格式的收敛性,能够准确捕捉激波和接触间断,具有鲁棒性强、低耗散和高分辨率的优点。
