English

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

General Mathematics 2024-12-30 v1

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).

Keywords

Cite

@article{arxiv.2412.18615,
  title  = {Mathematics for energy systems: Methods, modeling strategies, and simulation},
  author = {Nicklas Jävergård and Grigor Nika and Adrian Muntean},
  journal= {arXiv preprint arXiv:2412.18615},
  year   = {2024}
}

Comments

15 pages, 6 figures

R2 v1 2026-06-28T20:48:20.210Z