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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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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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The differential space concept : a generalization of the manifold concept
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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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n reflekterende leerondersteuningstrategie vir sewe leerders met wiskunde-probleme, ontwikkel in die opvoedkundige sielkunde
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Isogeometric Analysis: Fundamentals and details of implementation. From first steps to two-dimensional non-linear problems
Published 2019“…From this project, the work can be expanded to more complex geometries, multi-patch problems with the help of CAD programs or more complex non-linear problems.…”
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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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