The Onsager principle and physics preserving numerical schemes
<|reference_start|>The Onsager principle and physics preserving numerical schemes: We present a natural framework for constructing energy-stable time discretization schemes. By leveraging the Onsager principle, we demonstrate its efficacy in formulating partial differential equation models for diverse gradient flow systems. Furthermore, this principle provides a robust basis for developing numerical schemes that uphold crucial physical properties. Within this framework, several widely used schemes emerge naturally, showing its versatility and applicability.<|reference_end|>
@article{chen2024the,
    title={The Onsager principle and structure preserving numerical schemes},
    author={Huangxin Chen, Hailiang Liu, Xianmin Xu},
    journal={arXiv preprint arXiv:2406.12652},
    year={2024},
    archivePrefix={arXiv},
    eprint={2406.12652},
    primaryClass={math.NA cs.NA}
}