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Achieving baseline states in sparsely connected spiking-neural networks: stochastic and dynamic approaches in mathematical neuroscience
Published 2016“…In this thesis, I discuss the history and analysis of the key spiking-network models proposed in the progression toward addressing this problem. I also discuss the underlying constructions and mathematical theory from measure theory and the theory of Markov processes which are used in the analysis of these models. …”
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The differential space concept : a generalization of the manifold concept
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Numerical solution for subsurface reservoir simulation
Published 2017“…The mathematical models that describe such problems have been developed and form one of the main classes of partial differential equations (PDEs) that scientists encounter in the real-world modeling. …”
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An application of climate change ensemble averaging methods to fisheries management
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Investigating chaos by the generalized alignment index town (GALI) method
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Walking the bridge from single- to multi-species approaches in Southern African fisheries management
Published 2023“…A critical review of EwE highlights some weaknesses related to, for example, the handling of some life history responses such as compensatory changes in natural mortality rates of marine mammals, overcompensatory stock-recruit relationships, inadequate representation of uncertainty, possible problems in extrapolating from the micro-scale to the macro-scale as well as some (not too far-reaching) mathematical inconsistencies in the underlying equations. …”
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Complex fluid dynamical computations via the Finite Volume Method
Published 2019“…Numerical validation of our results is conducted via the most commonly used benchmark problems. The final aim of our work is to assess the viability and efficiency of our numerical solver via an investigation into the complex fluid dynamical processes associated with shear banding.…”
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Stable algorithms for generalized thermoelasticity based on operator-splitting and time-discontinuous Galerkin finite element methods
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Addressing deep reinforcement learning: empirical algorithm performance evaluations∗
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Gradings of Lie Algebras
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Development of a collision table for three dimensional lattice gases
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An examination and implementation of the libor market model
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Image recognition using the Eigenpicture Technique (with specific applications in face recognition and optical character recognition)
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The pullback closure, perfect morphisms and completions
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Cio-cio-san no yuutsu: memoirs of magnetogenesis and turbulent dynamo theory
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Video tutorials and Quick Response codes to assist Mathematical Literacy students in a non-classroom environment: An Activity Theory approach
Published 2017“…Students often struggle to complete their Mathematical Literacy homework. To assist them outside of the classroom, an intervention involving video tutorials that explained specific sections of work and how to go about solving problems, was devised. …”
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Numerical indefinite integration using the sinc method
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