On discretisation schemes for a boundary integral model of stochastic ray propagation

Bajars, J. ORCID: 0000-0001-7601-8694 and Chappell, D.J. ORCID: 0000-0001-5819-0271, 2017. On discretisation schemes for a boundary integral model of stochastic ray propagation. In: D.J. Chappell ORCID: 0000-0001-5819-0271, ed., Proceedings of the Eleventh UK Conference on Boundary Integral Methods (UKBIM 11), 10-11 July 2017, Nottingham Conference Centre, Nottingham Trent University. Nottingham: Nottingham Trent University: Publications, pp. 25-32. ISBN 9780993111297

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A boundary integral operator method for stochastic ray tracing in billiards was recently proposed in [1]. In particular, a phase-space boundary integral model for propagating uncertain ray or particle flows was described and shown to interpolate between deterministic and random models of the flow propagation. In this work we describe discretisation schemes for this class of boundary integral operators using piecewise constant collocation
in the spatial variable and either the Nyström method or the collocation method in the momentum variable. The simplicity of the spatial basis means that the corresponding spatial integration can be performed analytically. Convergence properties of the discretisation schemes and strategies for numerical implementation are presented and discussed.

Item Type: Chapter in book
Description: Chapter 4.
Creators: Bajars, J. and Chappell, D.J.
Publisher: Nottingham Trent University: Publications
Place of Publication: Nottingham
Date: 2017
ISBN: 9780993111297
Rights: Copyright © 2017 The Authors.
Divisions: Schools > School of Science and Technology
Record created by: Jill Tomkinson
Date Added: 24 Aug 2017 10:33
Last Modified: 24 Aug 2017 11:02
URI: https://irep.ntu.ac.uk/id/eprint/31465

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