Configured PINNs with Fourier features, periodic mappings, and causal training match or exceed traditional finite-difference solvers on 1D and 2D unsteady Maxwell test cases, though NTK analysis shows convergence effort does not track spatial error.
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PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes
Configured PINNs with Fourier features, periodic mappings, and causal training match or exceed traditional finite-difference solvers on 1D and 2D unsteady Maxwell test cases, though NTK analysis shows convergence effort does not track spatial error.