Fetching the paper…
Reading the bibliography…
Physics-informed neural networks (PINNs) [31] use automatic differentiation to solve partial differential equations (PDEs) by penalizing the PDE in the loss function at a random set of points in the domain of interest.
A. Yazdani, M. Raissi, and G. E. Karniadakis
1912
Earlier work this paper cites.
H. Bateman
1915
Earlier work this paper cites.
J. M. Burgers
1948
Earlier work this paper cites.
G. Cybenko
1989
Earlier work this paper cites.
I. Daubechies
1992
Earlier work this paper cites.
H. N. Mhaskar and C. A. Micchelli
1992
Earlier work this paper cites.
G. Davis
1994
Earlier work this paper cites.
W. S. Don and D. Gottlieb
1994
Earlier work this paper cites.
R. A. DeVore
1998
Earlier work this paper cites.
J. S. Hesthaven
2000
Earlier work this paper cites.
E. J. Candès et al
2006
Earlier work this paper cites.
E. J. Candès and M. B. Wakin
2008
Earlier work this paper cites.
R. DeVore and A. Ron
2010
Cited alongside, same era.
X. Glorot and Y. Bengio
2010
Cited alongside, same era.
T. Hangelbroek and A. Ron
2010
Cited alongside, same era.
G. B. Whitham
2011
Cited alongside, same era.
G. E. Karniadakis and S. J. Sherwin
2013
Cited alongside, same era.
H. Ohlsson, A. Y. Yang, R. Dong, and S. S. Sastry
2013
Cited alongside, same era.
T. F. Xie and F. L. Cao
2013
Cited alongside, same era.
S. Lin, X. Liu, Y. Rong, and Z. Xu
M. Raissi and G. E. Karniadakis
2018
Later among the works it cites.
2018
Later among the works it cites.
I. Daubechies, R. DeVore, S. Foucart, B. Hanin, and G. Petrova
2019
Closest in time.
2019
Closest in time.
A. D. Jagtap and G. E. Karniadakis
2019
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2014
Cited alongside, same era.
R. Arora, A. Basu, P. Mianjy, and A. Mukherjee
2016
Cited alongside, same era.
H. N. Mhaskar and T. Poggio
2016
Cited alongside, same era.
S. Tariyal, A. Majumdar, R. Singh, and M. Vatsa
2016
Cited alongside, same era.
M. Raissi, P. Perdikaris, and G. E. Karniadakis
2017
Cited alongside, same era.
2019
Closest in time.
P. Jin, L. Lu, Y. Tang, and G. E. Karniadakis
2019
Closest in time.
G. Pang, L. Lu, and G. E. Karniadakis
2019
Closest in time.
M. Raissi, Z. Wang, M. S. Triantafyllou, and G. E. Karniadakis
2019
Closest in time.
Z. Shen, H. Yang, and S. Zhang
2019
Closest in time.
N. Wang, Z. Mao, C. Huang, and G. E. Karniadakis
2019
Closest in time.