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identifying real households or companies. But energy data is not like images or text: it consists of time series living on a physical network, governed by power-flow equations. Off-the-shelf generative models
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the following areas: partial differential equations, inverse problems, numerical methods for PDEs, scientific computing; the ability and interest to work with both rigorous mathematical arguments and
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differential equations that require careful modeling and analysis. Imaging optics involves the design and optimization of imaging systems, such as cameras and telescopes, to most accurately capture and reproduce
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differential equations (PDEs). Full-waveform inversion is a powerful approach to such problems, but its practical use is limited by the strong nonlinearity of the inverse problem and by the computational cost
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households or companies. But energy data is not like images or text: it consists of time series living on a physical network, governed by power-flow equations. Off-the-shelf generative models produce data
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will start in Leiden, transfer after a year to Lund for two years, with a final year in Leiden. You will consider nonlinear wave equations with spatial inhomogeneities and use tools from dynamical
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households or companies. But energy data is not like images or text: it consists of time series living on a physical network, governed by power-flow equations. Off-the-shelf generative models produce data
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scientific knowledge, such as physical laws, differential equations, and domain-specific constraints, to model, simulate, and understand complex systems. The project will explore modern SciML methods
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mathematical arguments, and a drive to improve these skills. Curiosity about chaos, nonlinear dynamics, and unpredictability. Solid foundations in linear algebra and differential equations. Proficiency in
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of analysis of partial differential equations (PDEs). The PhD candidate will be supervised by Havva Yoldaş and co-supervised by Raphael Winter (Cardiff University). The research topics primarily revolves around