CT-PIKAN applies coordinate-transformed physics-informed KANs with autograd-computed metrics to solve PDEs in curvilinear domains, but lacks quantitative validation and has a metric inconsistency in its wavy-domain example.
Numerical Mathematics (2nd ed.)
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CT-PIKAN: Coordinate-Transformed Physics-Informed Kolmogorov-Arnold Network with Autograd-Based Metric Evaluation for Solving PDEs in Curvilinear Domains
CT-PIKAN applies coordinate-transformed physics-informed KANs with autograd-computed metrics to solve PDEs in curvilinear domains, but lacks quantitative validation and has a metric inconsistency in its wavy-domain example.