2 papers
math.NA2026
Mechanics-trained neural coordinate mapping for B-spline analysis of crack-tip and corner singularities
Hyunju Kim
Near a crack tip or re-entrant corner, fractional radial powers can have unbounded derivatives and slow the convergence of high-order splines. A singular mapping grades the computa…
math.OC2026
Fast and Scalable Caputo Fractional Gradient Descent via Perturbation-Preserving Memory Compression
Hwanseo Lee, Junseo Lee, Hyunju Kim
Fractional gradient descent (FGD) incorporates long-range memory through Caputo-type operators and has been shown to improve stability in ill-conditioned and nonconvex optimization…