In a landmark paper appearing in ACM Transactions on Mathematical Software, researchers have applied modern algorithmic analysis to 15th-century Sanskrit manuscripts from the Kerala School of Astronomy and Mathematics. They discovered that the Yuktibhasa-era scholars had developed a series of iterative expansion methods for modeling non-linear wave perturbations, specifically for predicting seasonal variations in tidal flow.
The study confirms that these Sanskrit algorithms utilized a recursive error-correction logic that is functionally equivalent to modern computational methods used in fluid mechanics. This research elevates the status of the Kerala School from being masters of infinite series to being early pioneers of complex system modeling, bridging the gap between medieval Indian mathematics and modern numerical analysis.