3 problems

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The low-discrepancy conjecture for PINN collocation points
Let $\mathbf{N}$ be a collocation point set generated by a sampling method with low-discrepancy or local-regularity properties, and let the computational domain be the domain on wh…
Conjectureopencollocation-methods physics-informed-neural-networks quasi-monte-carloarXiv posted 2 days ago
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Conjecture on overdetermined collocation for differential-algebraic equations
Let $N\geq 1$ be the polynomial degree, and let $M$ be the number of collocation points per subinterval in an overdetermined least-squares collocation method for a differential-alg…
Conjectureopencollocation-methods differential-algebraic-equations numerical-analysisarXiv posted 2 days ago
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Exponential-decay conjecture for generalized B-spline collocation symbols
Exponential-decay conjecture. The ratio
Conjectureopenb-splines collocation-methods numerical-analysisarXiv posted 2 days ago

The low-discrepancy conjecture for PINN collocation points