2 papers
math.NA2026
Learning Ecological and Epidemic Processes using Neural ODEs, Kolmogorov-Arnold Network ODEs and SINDy
Maria Vasilyeva, Zheng Wei, Kelum Gajamannage +3
We consider epidemic and ecological models to investigate their coupled dynamics. Starting with the classical Susceptible-Infected-Recovered (SIR) model for basic epidemic behavior…
math.NA2025
Multiscale method for image denoising using nonlinear diffusion process: local denoising and spectral multiscale basis functions
Maria Vasilyeva, Aleksei Krasnikov, Kelum Gajamannage +1
We consider image denoising using a nonlinear diffusion process, where we solve unsteady partial differential equations with nonlinear coefficients. The noised image is given as an…