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Discovery of PDEs driven by data with sharp gradient or discontinuity

文献类型：期刊论文

作者Wang, Kang; Zhang L(张磊); Tang, Shaoqiang
刊名COMPUTERS & MATHEMATICS WITH APPLICATIONS
出版日期2023-06
卷号140页码:33-43
关键词System identification Partial differential equations Gaussian process Discontinuous data Machine learning
ISSN号0898-1221
DOI10.1016/j.camwa.2023.03.021
英文摘要In the data-driven discovery of partial differential equations, previous researchers have successfully employed various methods to derive estimation of parameters from smooth data, but not from data with sharp gradient or discontinuity. To capture the sharp gradient/discontinuous part in data, we introduce a non-zero mean function in terms of the Sigmoid function in the Gaussian process prior. We test the method using noise-free and noisy data on the regression problem and the inverse problem of Burgers' equation, inviscid Burgers' equation, and the nonlinear wave system (NLWS), and verify its effectiveness and robustness.
分类号一类
WOS研究方向WOS:000968388000001
语种英语
资助机构National Natural Science Foundation of China ; NSFC [12202451]
其他责任者Zhang, L
源URL[http://dspace.imech.ac.cn/handle/311007/92243]  
专题力学研究所_非线性力学国家重点实验室
作者单位1.(Wang Kang, Tang Shaoqiang) Peking Univ Coll Engn HEDPS & LTCS Beijing 100871 Peoples R China
2.(Zhang Lei) Chinese Acad Sci Inst Mech State Key Lab Nonlinear Mech Beijing 100190 Peoples R China
3.(Zhang Lei) Univ Chinese Acad Sci Sch Engn Sci Beijing 100049 Peoples R China
推荐引用方式
GB/T 7714		 Wang, Kang,Zhang L,Tang, Shaoqiang. Discovery of PDEs driven by data with sharp gradient or discontinuity[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2023,140:33-43.
APA Wang, Kang,张磊,&Tang, Shaoqiang.(2023).Discovery of PDEs driven by data with sharp gradient or discontinuity.COMPUTERS & MATHEMATICS WITH APPLICATIONS,140,33-43.
MLA Wang, Kang,et al."Discovery of PDEs driven by data with sharp gradient or discontinuity".COMPUTERS & MATHEMATICS WITH APPLICATIONS 140(2023):33-43.

入库方式： OAI收割

来源：力学研究所

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