4 papers
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…
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…
Efficient and fast predictor-corrector method for solving nonlinear fractional differential equations with non-singular kernel
Seyeon Lee, Junseo Lee, Hyunju Kim +1
Efficient and fast predictor-corrector methods are proposed to deal with nonlinear Caputo-Fabrizio fractional differential equations, where Caputo-Fabrizio operator is a new propos…
An Efficient Numerical Approach for Solving Two-Point Fractional Order Nonlinear Boundary Value Problems with Robin Boundary Conditions
Junseo Lee, Bongsoo Jang, Hyunju Kim
This article proposes new strategies for solving two-point Fractional order Nonlinear Boundary Value Problems(FN-BVPs) with Robin Boundary Conditions(RBCs). In the new numerical sc…