Fetching the paper…
Reading the bibliography…
Sequential-in-time methods solve a sequence of training problems to fit nonlinear parametrizations such as neural networks to approximate solution trajectories of partial differential equations over time.
P. A. Dirac
1930
Earlier work this paper cites.
E. Rothe
1930
Earlier work this paper cites.
J. Frenkel et al
1934
Earlier work this paper cites.
N. Srivastava, G. Hinton, A. Krizhevsky, I. Sutskever, and R. Salakhutdinov
1958
Earlier work this paper cites.
D. Gottlieb and S. A. Orszag
1977
Earlier work this paper cites.
P. Kramer and M. Saraceno
1981
Earlier work this paper cites.
S. Sawada, R. Heather, B. Jackson, and H. Metiu
1985
Earlier work this paper cites.
K. G. Kay
1989
Earlier work this paper cites.
H.-D. Meyer, U. Manthe, and L. Cederbaum
1990
Earlier work this paper cites.
E. Hairer, G. Wanner, and S. P. Nørsett
1993
Earlier work this paper cites.
C. Bernardi and Y. Maday
1997
Earlier work this paper cites.
S.-I. Amari
1998
Earlier work this paper cites.
M. Beck, A. Jäckle, G. Worth, and H.-D. Meyer
2000
Earlier work this paper cites.
C. W. Rowley and J. E. Marsden
2000
Earlier work this paper cites.
Y. Maday, A. T. Patera, and G. Turinici
2002
Earlier work this paper cites.
H.-J. Bungartz and M. Griebel
2004
Earlier work this paper cites.
A. Ern and J.-L. Guermond
2004
Earlier work this paper cites.
L. Ambrosio, N. Gigli, and G. Savaré
2005
Earlier work this paper cites.
P. Koumoutsakos
2005
Earlier work this paper cites.
C. Lubich
2005
Earlier work this paper cites.
M. Griebel
2006
Earlier work this paper cites.
J. Nocedal and S. J. Wright
2006
Earlier work this paper cites.
R. Becker and B. Vexler
2007
Earlier work this paper cites.
J. S. Hesthaven, S. Gottlieb, and D. Gottlieb
2007
Earlier work this paper cites.
O. Koch and C. Lubich
2007
Earlier work this paper cites.
C. Lubich
2008
Earlier work this paper cites.
G. Rozza, D. B. P. Huynh, and A. T. Patera
2008
Earlier work this paper cites.
T. P. Sapsis and P. F. Lermusiaux
2009
Earlier work this paper cites.
J. T. Betts
2010
Earlier work this paper cites.
O. Koch and C. Lubich
2010
Earlier work this paper cites.
P. Deuflhard and M. Weiser
2012
Earlier work this paper cites.
G. E. Hinton, N. Srivastava, A. Krizhevsky, I. Sutskever, and R. Salakhutdinov
2012
Cited alongside, same era.
A. Arnold and T. Jahnke
2014
Cited alongside, same era.
C. Lubich and I. V. Oseledets
2014
Cited alongside, same era.
2014
Cited alongside, same era.
P. Benner, S. Gugercin, and K. Willcox
2015
Cited alongside, same era.
A. Cohen and R. DeVore
2015
Cited alongside, same era.
C. Lubich
2015
L. Einkemmer, J. Hu, and Y. Wang
2021
Later among the works it cites.
Y. Wang, J. Chen, C. Liu, and L. Kang
2021
Later among the works it cites.
W. Anderson and M. Farazmand
2022
Later among the works it cites.
G. Ceruti and C. Lubich
2022
Later among the works it cites.
L. C. Evans
2022
Later among the works it cites.
J. S. Hesthaven, C. Pagliantini, and G. Rozza
2022
Later among the works it cites.
M. Lindsey, J. Weare, and A. Zhang
2022
Later among the works it cites.
B. Peherstorfer
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
E. Musharbash, F. Nobile, and T. Zhou
2015
Cited alongside, same era.
B. Peherstorfer and K. Willcox
2015
Cited alongside, same era.
S.-i. Amari
2016
Cited alongside, same era.
A. Cichocki, N. Lee, I. Oseledets, A.-H. Phan, Q. Zhao, and D. P. Mandic
2016
Cited alongside, same era.
A. Cohen and R. DeVore
2016
Cited alongside, same era.
2022
Later among the works it cites.
T. Zhao, C. Sun, A. Cohen, J. Stokes, and S. Veerapaneni
2022
Later among the works it cites.
J. Berman and B. Peherstorfer
2023
Later among the works it cites.
A. Charous and P. F. J. Lermusiaux
2023
Later among the works it cites.
H. Chen, R. Wu, E. Grinspun, C. Zheng, and P. Y. Chen
2023
Later among the works it cites.
P. Y. Chen, M. M. Chiaramonte, E. Grinspun, and K. Carlberg
2023
Later among the works it cites.
Y. Chen, D. Z. Huang, J. Huang, S. Reich, and A. M. Stuart
2023
Later among the works it cites.
M. A. Finzi, A. Potapczynski, M. Choptuik, and A. G. Wilson
2023
Later among the works it cites.
Z. Hu, C. Liu, Y. Wang, and Z. Xu
2023
Later among the works it cites.
M. Kast and J. S. Hesthaven
2023
Later among the works it cites.
S. Kvaal, C. Lasser, T. B. Pedersen, and L. Adamowicz
2023
Later among the works it cites.
J. Müller and M. Zeinhofer
2023
Later among the works it cites.
K. Neklyudov, J. Nys, L. Thiede, J. Carrasquilla, Q. Liu, M. Welling, and A. Makhzani
2023
Later among the works it cites.
L. Nurbekyan, W. Lei, and Y. Yang
2023
Later among the works it cites.
N. G. Trillos, B. Hosseini, and D. Sanz-Alonso
2023
Later among the works it cites.
Q. Yan, S. W. Jiang, and J. Harlim
2023
Later among the works it cites.
J. Berman and B. Peherstorfer
2024
Closest in time.
J. Bruna, B. Peherstorfer, and E. Vanden-Eijnden
2024
Closest in time.
A. Charous and P. F. J. Lermusiaux
2024
Closest in time.
M. Feischl, C. Lasser, C. Lubich, and J. Nick
2024
Closest in time.
B. Kramer, B. Peherstorfer, and K. E. Willcox
2024
Closest in time.
Y. Wen, E. Vanden-Eijnden, and B. Peherstorfer
2024
Closest in time.
Black, Felix, Schulze, Philipp, and Unger, Benjamin
2043
Closest in time.