66 citations · 121 across the 13 of their papers we have counts for
6 papers · 1 filter
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…
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…
Non-polynomial ENO and WENO finite volume methods for hyperbolic conservation laws
Jingyang Guo, Jae-Hun Jung
The essentially non-oscillatory (ENO) method is an efficient high order numerical method for solving hyperbolic conservation laws designed to reduce the Gibbs oscillations, if exis…
Efficient determination of critical parameters of nonlinear Schrödinger equation with point-like potential using generalized polynomial chaos methods
Debananda Chakraborty, Jae-Hun Jung, Emmanuel Lorin
We consider the nonlinear Schrödinger equation with a point-like source term. The soliton interaction with such a singular potential yields a critical solution behavior. That is, f…
Efficient determination of the critical parameters and the statistical quantities for Klein-Gordon and sine-Gordon equations with a singular potential using generalized polynomial chaos methods
Debananda Chakraborty, Jae-Hun Jung
We consider the Klein-Gordon and sine-Gordon type equations with a point-like potential, which describes the wave phenomenon in disordered media with a defect. The singular potenti…