Mathematical Sciences Research Seminar Series

Modelling Uncertainties in Phase-Space Boundary Integral Models of Ray Propagation

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Seminars

As part of the School of Science and Technology Mathematical Sciences Research Seminar Series, Dr Janis Bajars presents: Modelling Uncertainties in Phase-Space Boundary Integral Models of Ray Propagation.

  • From: Wednesday 20 March 2019, 1 pm
  • To: Wednesday 20 March 2019, 2 pm
  • Location: 169, Erasmus Darwin, Nottingham Trent University, Clifton Campus, Clifton Lane, Nottingham, NG11 8NS

Past event

Event details

As part of the School of Science and Technology Mathematical Sciences Research Seminar Series, Dr Janis Bajars presents: Modelling Uncertainties in Phase-Space Boundary Integral Models of Ray Propagation.

Abstract

A recently proposed phase-space boundary integral model for the stochastic propagation of ray densities is presented and, for the first time, explicit connections between this model and parametric uncertainties arising in the underlying physical model are derived. In particular, an asymptotic analysis for a normally distributed weak noise perturbation of the propagation speed is used to derive expressions for the probability distribution of the phase-space boundary coordinates after transport along uncertain, and in general curved, ray trajectories. Furthermore, models are presented for incorporating geometric uncertainties in terms of both the location of an edge within a polygonal domain, as well as small scale geometric fluctuations giving rise to rough boundary reflections. Uncertain source terms are also considered in the form of stochastically distributed point sources and uncertain boundary data. A series of numerical experiments is then performed to illustrate these uncertainty models in two-dimensional convex polygonal domains.

All Welcome

For any enquiries please contact Dr David Chappell.

Location details

Room/Building:

169, Erasmus Darwin

Address:

Nottingham Trent University
Clifton Campus
Clifton Lane
Nottingham
NG11 8NS

Past event

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