Publications (6)
Uniqueness of the inverse source problem for fractional diffusion-wave equations
Lingyun Qiu, Jiwoon Sim
This study addresses the inverse source problem for the fractional diffusion-wave equation, characterized by a source comprising spatial and temporal components. The investigation…
Convergent Sixth-order Compact Finite Difference Method for Variable-Coefficient Elliptic PDEs in Curved Domains
Bin Han, Jiwoon Sim
Finite difference methods (FDMs) are widely used for solving partial differential equations (PDEs) due to their relatively simple implementation. However, they face significant cha…
Shifts of dominant personality and spatial pattern formation due to spatially heterogeneous pollution
Tianxu Wang, Jiwoon Sim, Hao Wang
Personality traits, such as boldness and shyness, play a significant role in shaping the survival strategies of animals. Industrial pollution has long posed serious threats to ecos…
An Efficient Finite Difference-Based PML Technique for Acoustic Scattering Problems
Bin Han, Jiwoon Sim
The acoustic scattering problem is modeled by the exterior Helmholtz equation, which is challenging to solve due to both the unboundedness of the domain and the high dispersion err…
Existence and asymptotic stability of a generic Lotka-Volterra system with nonlinear spatially heterogeneous cross-diffusion
Tianxu Wang, Jiwoon Sim, Hao Wang
This article considers a class of Lotka-Volterra systems with multiple nonlinear cross-diffusion, commonly known as prey-taxis models. The existence and stability of classic soluti…
High-order, Compact, and Symmetric Finite Difference Methods for -Dimensional Elliptic Equations
Qiwei Feng, Bin Han, Michelle Michelle +1
This paper presents compact, symmetric, and high-order finite difference methods (FDMs) for the variable Poisson equation on a -dimensional hypercube. Our schemes produce symmet…