quasi-monte carlo 1random fields 1reaction-diffusion equations 1tumor growth modeling 1uncertainty quantification 1
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math.NA2026
Quasi-Monte Carlo methods for uncertainty quantification of tumor growth modeled by a parametric semi-linear parabolic reaction-diffusion equation
Alexander D. Gilbert, Frances Y. Kuo, Dirk Nuyens +3
The paper applies quasi‑Monte Carlo methods to efficiently propagate uncertainty through a semi‑linear parabolic reaction‑diffusion model of tumor growth, demonstrating faster conv…
math.NA2025
Bayesian learning with Gaussian processes for low-dimensional representations of time-dependent nonlinear systems
Shane A. McQuarrie, Anirban Chaudhuri, Karen E. Willcox +1
This work presents a data-driven method for learning low-dimensional time-dependent physics-based surrogate models whose predictions are endowed with uncertainty estimates. We use…