Explores importance sampling through a change of variable to speed up Monte Carlo calculations and discusses the impact on stochastic estimates and variance scaling.
Delves into uniformly accurate hydrodynamic models for kinetic equations using machine learning, covering Boltzmann equation, moment methods, and numerical results.
Covers interpolatory quadrature formulas for approximating definite integrals using polynomials and discusses the uniqueness of solutions and practical applications in numerical integration.
Introduces the basics of risk analysis and management in civil engineering, covering distributions, statistical reminders, and mathematical interpretation techniques.