Table 4 Computational cost analysis for the Neural-ODE hybrid Block Method and other Solvers Applied to a Stiff Problem (Van Der Pol Oscillator).

From: A novel hybrid framework for efficient higher order ODE solvers using neural networks and block methods

Method

Training Time (s)

Runtime per Step (s)

Memory Usage (MB)

Neural-ODE Hybrid Block

120

0.02

512

PINNs

300

0.05

1024

Adaptive Neural-ODEs

150

0.03

768

Runge-Kutta (RK4)

N/A

0.01

256

BDF

N/A

0.02

384

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