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arXiv · 2412.18615

Mathematics for energy systems: Methods, modeling strategies, and simulation

Nicklas Jävergård·Grigor Nika·Adrian Muntean
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Abstract

We offer an insight into our mathematical endeavors, which aim to advance the foundational understanding of energy systems in a broad context, encompassing facets such as charge transport, energy storage, markets, and collective behavior. Our working techniques include a combination of well-posed mathematical models (both deterministic and stochastic), mathematical analysis arguments (mostly concerned with model dimension reduction and averaging, periodic homogenization), and simulation tools (numerical approximation techniques, computational statistics, high-performance computing).

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Nicklas Jävergård, Grigor Nika, Adrian Muntean. 2024-12-10. Mathematics for energy systems: Methods, modeling strategies, and simulation. https://arxiv.org/abs/2412.18615

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