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math.NA2025
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…