Doctoral Theses (Mathematical & Computer Sciences)
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Transparent resilience for Chapel
(Heriot-Watt University Mathematical and Computer Sciences, 2020-01)High-performance systems pose a number of challenges to traditional fault tolerance approaches. The exponential increase of core numbers in large-scale distributed systems exposes the growth of permanent, intermittent, ... -
A study of asymptotic behaviour in the Truncated Conformal Space Approach
(Heriot-Watt University Mathematical and Computer Sciences, 2020-02)The Truncated Conformal Space Approach (TCSA) is a numerical technique for calculating the spectrum of Hamiltonian operators in Quantum Field Theory which are described as perturbations of Conformal Field Theories. The ... -
Genetics, insurance, and cardiomyopathies : a case study of hypertrophic cardiomyopathy
(Heriot-Watt University Mathematical and Computer Sciences, 2020-03)The economic impact of genetic information on life insurance has been discussed since DNA-based genetic testing became available in the 1990s. Macdonald & Yu (2011) estimated the highest increases in life insurance premium ... -
Stochastic differential equations with multiple invariant measures and related problems
(Heriot-Watt University Mathematical and Computer Sciences, 2019-08)We study problems related to SDEs which admit multiple invariant measures. The main problem we address is determining the long time behaviour of a large class of diffusion processes on R N , generated by second order ... -
Multiscale modelling analysis and computations of complex heterogeneous multiphase systems
(Heriot-Watt University Mathematical and Computer Sciences, 2019-05)In this thesis, we analytically and computationally investigate various aspects related to the multiphase-multicomponent interfacial processes and reactive transport in homogeneous domains and heterogeneous periodic ...
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