Article history: Received 17 April 2015 Received in revised form 18 June 2015 Accepted 6 July 2015 Available online 22 July 2015

2 UNCERTAINTIES ASSOCIATED WITH GHG INVENTORIES..................................................2 2.1 LIMITATIONS AND PURPOSES OF UNCERTAINTY QUANTIFICATION....................................................3 2.2 PARAMETER UNCERTAINTIES: SYSTEMATIC AND STATISTICAL UNCERTAINTIES...............................3 3 AGGREGATING STATISTICAL UNCERTAINTY .................................................

Chatterji [2] has formulated the following heuristic principle: given any limit property for independent identically distributed random variables (i.i.d.r.v.'s), there exists an analogous property such that an arbitrary sequence of r.v.'s always has some subsequence possessing this analogous property. By 'arbitrary', we mean that no assumption concerning dependence is made, though it may be nec...

The need for accurate resolution of shock waves in Computational Fluid Dynamics (CFD) is a major driver in the development of robust numerical methods for approximating discontinuities. The Local Extremum Diminishing (LED) robustness concept has, for example, been introduced into the Finite Volume Method (FVM) for preventing overshoots at discontinuities (Jameson 1993). However, LED schemes hav...

We propose a rigorous framework for uncertainty quantification (UQ) in which the UQ objectives and its assumptions/information set are brought to the forefront. This framework, which we call optimal uncertainty quantification (OUQ), is based on the observation that, given a set of assumptions and information about the problem, there exist optimal bounds on uncertainties: these are obtained as v...