66 citations · 121 across the 13 of their papers we have counts for
13 papers
Fifth-order weighted essentially non-oscillatory schemes with new Z-type nonlinear weights for hyperbolic conservation laws
Jiaxi Gu, Xinjuan Chen, Jae-Hun Jung
In this paper we propose new Z-type nonlinear weights of the fifth-order weighted essentially non-oscillatory (WENO) finite difference scheme for hyperbolic conservation laws. Inst…
A Chebyshev multidomain adaptive mesh method for Reaction-Diffusion equations
Jae-Hun Jung, Daniel Olmos-Liceaga
Reaction-Diffusion equations can present solutions in the form of traveling waves. Such solutions evolve in different spatial and temporal scales and it is desired to construct num…
Topological Data Analysis of Korean Music in Jeongganbo: A Cycle Structure
Mai Lan Tran, Changbom Park, Jae-Hun Jung
Jeongganbo is a unique music representation invented by Sejong the Great. Contrary to the western music notation, the pitch of each note is encrypted and the length is visualized d…
The Interconnectivity Vector: A Finite-Dimensional Vector Representation of Persistent Homology
Megan Johnson, Jae-Hun Jung
Persistent Homology (PH) is a useful tool to study the underlying structure of a data set. Persistence Diagrams (PDs), which are 2D multisets of points, are a concise summary of th…
Detection of gravitational waves using topological data analysis and convolutional neural network: An improved approach
Christopher Bresten, Jae-Hun Jung
The gravitational wave detection problem is challenging because the noise is typically overwhelming. Convolutional neural networks (CNNs) have been successfully applied, but requir…
Radial basis function ENO and WENO finite difference methods based on the optimization of shape parameters
Jingyang Guo, Jae-Hun Jung
We present adaptive finite difference ENO/WENO methods by adopting infinitely smooth radial basis functions (RBFs). This is a direct extension of the non-polynomial finite volume E…