This thesis may be broadly divided into 4 parts. In the first part, we do a literature review of the state of the art in misspecification in Macroeconomics, and what so far has been the contribution of a relatively new area of research called Uncertainty Quantification to the Ma…
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Humanitarian clearance of minefields is most often carried out by hand, conventionally using a a metal detector and a probe. Detection is a very slow process, as every piece of detected metal must treated as if it were a landmine and carefully probed and excavated, while many of…
This thesis proposes a novel method for solving inverse thermal systems problems based on stigmergy. Inverse problems are those problems that have a desired output but the inputs required to achieve that output are unknown. The example problem examined is an established inverse …
To estimate a parameter in an elliptic boundary value problem, the method of equation error chooses the value that minimizes the error in the PDE and boundary condition (the solution of the BVP having been replaced by a measurement). The estimated parameter converges to the exac…
Inverse problems in subsurface flow are generally challenging due to the need for a large number of expensive numerical solutions to partial di↵erential equations (PDEs). Inverse modeling typically consists of generating realizations of the unknown model parameters and matching …