Cauchy problems and inverse problems in partial differential equations (PDEs) represent a class of challenging mathematical models where one seeks to determine unknown data inside a domain from ...

You may never have heard of an “inverse problem”, but as Roy Pike of King’s College London explains in this video, it is a way of looking at many different questions within science. It refers to a ...

The Annals of Statistics, Vol. 30, No. 3 (Jun., 2002), pp. 784-842 (59 pages) We consider a model problem of recovering a function f(x1, x2) from noisy Radon data. The function f to be recovered is ...

This refers to the scientific problem of estimating the different causes that led to a particular outcome. Scientists trying to understand an observation may at times have to work backwards to ...

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

Heat content is an invariant of piecewise smoothly bounded Riemannian domains. This talk is an introduction to heat content in the context of geometric analysis. Starting with definitions we will ...