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ResearchFormerly WizWand

PDE Solving on Burgers' equation

0.0001L2 Relative ErrorRSNG
-0.0181850.1049730.228130.351288Oct 7, 2023Mar 15, 2024Aug 23, 2024Jan 31, 2025Jul 11, 2025Dec 19, 2025May 29, 2026
Updated 4mo ago

Evaluation results

MethodLinks
RSNGTime(s)=2378, s=8002023.100.0001
RSNGTime(s)=188, s=1252023.100.0002
DBAW-PIKANOrder=4, Grid Size=20, Architecture=[2,20,20,20,1], Parameters=22,360, Optimizer=Adam, Iterations=500002025.120.0005
Causal PINNTime(s)=23027, s=N/A2023.100.0005
PIKANOrder=4, Grid Size=20, Architecture=[2,20,20,20,1], Parameters=22,360, Optimizer=Adam, Iterations=500002025.120.0012
PINNOrder=N/A, Grid Size=N/A, Architecture=[2,64,64,64,64,64,64,1], Parameters=21,057, Optimizer=Adam, Iterations=500002025.120.0012
PINNTime(s)=3451, s=N/A2023.100.0023
LFNOEpochs=50002026.050.0026
FNOEpochs=50002026.050.0046
HD-TLGPImplementation variant=atoms2025.020.0204
LNOEpochs=50002026.050.0275
PINNs2025.020.0609
SIGS2025.020.0664
FEniCS2025.020.0869
DBAW-PINNOrder=N/A, Grid Size=N/A, Architecture=[2,64,64,64,64,64,64,1], Parameters=21,057, Optimizer=Adam, Iterations=500002025.120.271
FBPINNs2025.020.2826
HD-TLGPImplementation variant=vanilla2025.020.3568
SSDE2025.020.4562