1D Burgers' Equation
Benchmarks
TaskDatasetSOTA resultTrendResults
1D Burgers’ Equation (test)
0.005MSE
38
1D Burgers' equation standard synthetic (test)
0.003Relative L2 Error
14
1D Burgers' equation
0Objective Function (J)
8
1D Burgers' Equation PO-PC v1 (test)
0.005J_actual
8
1D Burgers' Equation FO-PC v1 (test)
0J_actual
8
1D Burgers' Equation PO-FC v1 (test)
0.011J_actual
7
1D Burgers Equation BC adapt
1.84Full PDE MSE
5
1D Burgers Equation IC adapt
1.53Full PDE MSE
5
1D Burgers' Equation Inverse Problem Setting
1.982Estimated Kappa 1
5
1D Burgers equation inverse problem
4.02Relative L2 Error
5
1D Burgers equation
1.06Relative L2 Error
5
1D Burgers' equation (400-step rollout)
0.13RMSE
5
1D Burgers Equation
0.124Residual Bound
1