1 code implementation • 3 Feb 2023 • Yizheng Wang, Jia Sun, Zaiyuan Lu, Pipi Hu, Yinghua Liu
To fill the gap, we propose a deep complementary energy method (DCM) based on the principle of minimum complementary energy.
no code implementations • 6 Sep 2022 • Liwei Lu, Zhijun Zeng, Yan Jiang, Yi Zhu, Pipi Hu
Taking the collocations of Gaussian functions as the test functions in the weak form of the FP equation, we transfer the derivatives to the Gaussian functions and thus approximate the weak form by the expectational sum of the data.
no code implementations • 28 Apr 2022 • Guochang Lin, Fukai Chen, Pipi Hu, Xiang Chen, Junqing Chen, Jun Wang, Zuoqiang Shi
In addition, we also use the Green's function calculated by our method to solve a class of PDE, and also obtain high-precision solutions, which shows the good generalization ability of our method on solving PDEs.
no code implementations • 29 Sep 2021 • Guochang Lin, Fukai Chen, Pipi Hu, Xiang Chen, Junqing Chen, Jun Wang, Zuoqiang Shi
Green's function plays a significant role in both theoretical analysis and numerical computing of partial differential equations (PDEs).
no code implementations • 11 May 2020 • Pipi Hu, Wuyue Yang, Yi Zhu, Liu Hong
To derive the hidden dynamics from observed data is one of the fundamental but also challenging problems in many different fields.