Differential equations isolate N-dependent terms in edge density expansions for classical random matrix ensembles, yielding explicit correction terms at the hard edge.
Bornemann,Asymptotic expansions relating to the lengths of longest monotone subsequences of involutions, Experimental Math
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An adaptive quadtree algorithm with curvature-guided Monte Carlo sampling for multi-circle polygon intersections achieves O(1/ε^{3/2}) complexity at O(ε) error, outperforming classical methods in experiments.
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Edge density expansions for the classical Gaussian and Laguerre ensembles
Differential equations isolate N-dependent terms in edge density expansions for classical random matrix ensembles, yielding explicit correction terms at the hard edge.
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An improved boundary-focused adaptive quadtree algorithm for circle-polygon intersection area approximation
An adaptive quadtree algorithm with curvature-guided Monte Carlo sampling for multi-circle polygon intersections achieves O(1/ε^{3/2}) complexity at O(ε) error, outperforming classical methods in experiments.