2 papers
math.NA2024
fOGA: An Orthogonal Greedy Algorithm for Fractional Laplacian Problems
Ruitong Shan, Young Ju Lee, Jiwei Jia
In this paper, we propose a numerical method for fractional Laplace equations that combines finite difference discretization with shallow neural network approximation. The fraction…
math.NA2024
An Unconstrained Formulation of Some Constrained Partial Differential Equations and its Application to Finite Neuron Methods
Jiwei Jia, Young Ju Lee, Ruitong Shan
In this paper, we present a new framework how a PDE with constraints can be formulated into a sequence of PDEs with no constraints, whose solutions are convergent to the solution o…