Abstract Surface roughness plays a critical role and has effects in, e.g. fluid dynamics or contact mechanics. For example, to evaluate behavior at different properties, real-world numerical experiments are performed. Numerical simulations of rough surfaces can speed up these studies because they help collect more relevant information. However, it is hard simulate with deterministic structured ...

All discretized numerical models contain modelling errors - this reality is amplified when reduced-order are used. The ability to accurately approximate informs statistics on model confidence and improves quantitative results from frameworks using in prediction, tomography, signal processing. Further this, the compensation of highly nonlinear non-Gaussian errors, arising many ill-conditioned sy...