10.6084/m9.figshare.7862927.v1 James Shaw James Shaw Probabilistic flood mapping: Stochastic Galerkin shallow water model with uncertain source terms figshare 2019 stochastic Galerkin Shallow Water Equations flood mapping Stochastic Analysis and Modelling Numerical Solution of Differential and Integral Equations 2019-03-20 13:26:24 Presentation https://figshare.com/articles/presentation/Probabilistic_flood_mapping_Stochastic_Galerkin_shallow_water_model_with_uncertain_source_terms/7862927 Stochastic Galerkin methods can quantify uncertainty at a fraction of the computational cost of simple Monte Carlo methods, but these methods have rarely been applied to shallow water models with uncertain terrain and uncertain friction source terms.<div><br></div><div>In this talk, I outline the pseudo-intrusive approach to formulate a stochastic Galerkin shallow water model, and discuss the impact on robust properties, accuracy and computational savings over simple Monte Carlo.</div>