@article{doehring2026paired, title={Paired Explicit Relaxation {R}unge-{K}utta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration}, author={Doehring, Daniel and Ranocha, Hendrik and Torrilhon, Manuel}, journal={Communications on Applied Mathematics and Computation}, year={2026}, month={10}, publisher={Springer}, doi={10.1007/s42967-026-00587-6}, eprint={2507.04991}, eprinttype={arxiv}, eprintclass={math.NA} }