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math.NA2024
A domain decomposition method for stochastic evolution equations
Evelyn Buckwar, Ana Djurdjevac, Monika Eisenmann
In recent years, SPDEs have become a well-studied field in mathematics. With their increase in popularity, it becomes important to efficiently approximate their solutions. Thus, ou…
math.NA2024
Numerical Approximations and Convergence Analysis of Piecewise Diffusion Markov Processes, with Application to Glioma Cell Migration
Evelyn Buckwar, Amira Meddah
In this paper, we focus on numerical approximations of Piecewise Diffusion Markov Processes (PDifMPs), particularly when the explicit flow maps are unavailable. Our approach is bas…