Click here to flash read.
arXiv:2404.16189v1 Announce Type: new
Abstract: We present a structure preserving PINN for solving a series of time dependent PDEs with periodic boundary. Our method can incorporate the periodic boundary condition as the natural output of any deep neural net, hence significantly improving the training accuracy of baseline PINN. Together with mini-batching and other PINN variants (SA-PINN, RBA-PINN, etc.), our structure preserving PINN can even handle stiff PDEs for modeling a wide range of convection-diffusion and reaction-diffusion processes. We demonstrate the effectiveness of our PINNs on various PDEs from Allen Cahn, Gray Scott to nonlinear Schrodinger.
Click here to read this post out
ID: 823014; Unique Viewers: 0
Unique Voters: 0
Total Votes: 0
Votes:
Latest Change: April 26, 2024, 7:32 a.m.
Changes:
Dictionaries:
Words:
Spaces:
Views: 6
CC:
No creative common's license
No creative common's license
Comments: