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differential equation models of bacterial persistence. A particular challenge, both for simulation and for machine learning, lies in the high dimensionality of these equations, which causes grid-based numerical
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combined approach using numerical modeling and environmental metrology Key words: simulation, modeling, partial differential equations, hydraulics, inverse problem, sediment transport, peri-urban catchment
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, differential equations, integral calculus, probability theory, numerics) Proficiency in programming with Python (in-depth understanding of programming concepts, native Python and efficient use of libraries
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differential equations on existing data. This project will also involve the generation of new data in emerging applications. As a PhD student, you will address the forecasting challenge of how to predict and
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expression in the tumour. The models will be calibrated against pre-clinical data and compared to literature models that are based on ordinary differential equation systems without a description of spatial
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Mathematics, Physics, or a closely related field. Strong background in partial differential equations and stochastic analysis and a genuine interest in its applications to fluid dynamics or related areas
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should hold a master in physics, materials science, or applied mathematics. Previous experience with the numerical solution of partial differential equations is mandatory. The post requires sound knowledge
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experience or knowledge in one or more of the following areas are also a merit: Space physics Plasma physics Computational physics Applied mathematics and modelling Numerical methods for partial differential
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electro-optic devices, notably the multi-billion dollar liquid crystal display industry. The mathematics of LCs is very rich and cuts across analysis, topology, mechanics, partial differential equations and
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learning, with a particular focus on differential equation-driven frameworks. The research will be fundamentally oriented, and the overall mission is to develop computationally efficient and statistically