AUTHOR=Zhang Liangyuan TITLE=The old Babylonian algorithm: reborn with a bang and its application in non-linear vibration JOURNAL=Frontiers in Applied Mathematics and Statistics VOLUME=10 YEAR=2025 URL=https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2024.1530024 DOI=10.3389/fams.2024.1530024 ISSN=2297-4687