Publications (4)
New classes of non-convolution integral equations arising from Lie symmetry analysis of hyperbolic PDEs
Mark Craddock, Semyon Yakubovich
In this paper we consider some new classes of integral equations that arise from Lie symmetry analysis. Specifically, we consider the task of obtaining solutions of a Cauchy proble…
Novel exact solutions for PDEs with mixed boundary conditions
Mark Craddock, Martino Grasselli, Andrea Mazzoran
We develop methods for the solution of inhomogeneous Robin type boundary value problems (BVPs) that arise for certain linear parabolic Partial Differential Equations (PDEs) on a ha…
UN Handbook on Privacy-Preserving Computation Techniques
David W. Archer, Borja de Balle Pigem, Dan Bogdanov +10
This paper describes privacy-preserving approaches for the statistical analysis. It describes motivations for privacy-preserving approaches for the statistical analysis of sensitiv…
The calculation of expectations for classes of diffusion processes by Lie symmetry methods
Mark Craddock, Kelly A. Lennox
This paper uses Lie symmetry methods to calculate certain expectations for a large class of Itô diffusions. We show that if the problem has sufficient symmetry, then the problem o…