Open access
Jul 2026
Comparative Study of Physics-Informed Neural Networks (PINNs) and Optimizing a Discrete Loss (ODIL) for Forward and Inverse Problems in Unsteady Non-Linear Partial Differential Equations
This work systematically compares two state-of-the-art frameworks-Physics-Informed Neural Networks (PINNs) and Optimizing a Discrete Loss (ODIL) across benchmark elliptic, hyperbolic, and parabolic problems, culminating in a challenging inverse source reconstruction task.
Vasco L. Carvalho, José M. C. Pereira
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