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Advanced Modeling and Simulation in Engineering Sciences
Fig. 1 | Advanced Modeling and Simulation in Engineering Sciences

Fig. 1

From: Non-intrusive nonlinear model reduction via machine learning approximations to low-dimensional operators

Fig. 1

Timestep verification for 1D inviscid Burgers’ equation: a backward-Euler integrator: we select a time step of 3.12e-2, as it leads to an approximated convergence rate of 1 and an approximated error of 4e-4 for the selected state; b Runge–Kutta: we select a time step of 1.25e-1, as it leads to an approximated (\(<1\%\) error) convergence rate of 4 and an averaged approximated error of 6e-5 for the selected state

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