3 papers
math.NA2026
Convergence Analysis of a Stochastic Interacting Particle-Field Algorithm for 3D Parabolic-Parabolic Keller-Segel Systems
Boyi Hu, Zhongjian Wang, Jack Xin +1
Chemotaxis models describe the movement of organisms in response to chemical gradients. In this paper, we present a stochastic interacting particle-field algorithm with a random ba…
math.NA2026
A Stochastic Genetic Interacting Particle Method for Reaction-Diffusion-Advection Equations
Boyi Hu, Zhongjian Wang, Jack Xin +1
We develop and analyze a stochastic genetic interacting particle method (SGIP) for reaction-diffusion-advection (RDA) equations. The SGIP method employs operator splitting to appro…
math.NA2024
A Stochastic Interacting Particle-Field Algorithm for a Haptotaxis Advection-Diffusion System Modeling Cancer Cell Invasion
Boyi Hu, Zhongjian Wang, Jack Xin +1
The investigation of tumor invasion and metastasis dynamics is crucial for advancements in cancer biology and treatment. Many mathematical models have been developed to study the i…