Jul 2026· International Journal of Dynamics and Control· Vol 14· 0 citations· 30 references
TL;DR
Extensive numerical experiments demonstrate that PINNs-MSFF achieves superior accuracy, stability, and convergence, effectively capturing complex fractional dynamics, sharp localized gradients, and dispersive phase transitions where standard PINNs often fail.
Meta-SPINN works both as a direct predictor for unseen tasks and as a task-aware initializer for subsequent single-instance residual-guided refinement, providing reusable predictions together with an interpretable visualization of how solution geometry changes across a parameter family.
This work embeds feature interaction modules derived from factorization machines (FMs) into physics-informed neural networks (PINNs) and neural operator learning, to enhance model expressiveness for solution manifolds of parameterized partial differential equations (PDEs). Motivated by the second-order Taylor expansion...
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, J. C. F. Pereira· Computation· 0 citations
It is observed that the proposed ADM-PINN approach is highly effective for several two-dimensional time fractional problems including the Schrodinger equation for convergent approximation of the computed solution.
Arihant Patawari, P. Das, Subrata Rana· Neural Networks· 1 citation
This study introduces a dual-branch, spectrally-gated architecture (DBSG-PINN) that splits low- and high-frequency components into separate subnetworks joined by an adaptive gate, and uses it to run a partially controlled ablation of frequency decomposition and spectral routing.
Shubham Rai· 0 citations
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