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Документ Відкритий доступ Simulation of Janus Particles on Sparse Grids(КПІ ім. Ігоря Сікорського, 2025) Pliushchai, A.; Neumann, M.; Gemming, S.Characteristic of Janus particles is that one half of their surface is modified such that the two sides of the particle exhibit different properties. In this study we will formulate of the problem of Janus particles with an interaction potential due to magnetic caps and simulate their energy, presenting theoretical ground work and implementation for two approaches to tackling this problem, namely incremental approach and its modification involving sparse grids. We will compare those two approaches, their significance for further research and potential for future improvements.