Accelerating ODE Solvers with the Sherman-Morrison Formula: A Case Study in Sustainable Aviation Modeling

Reusing one LU factorization via the Sherman-Morrison formula cuts implicit Euler cost from O(n^3) to O(n^2) per step, with benchmarks up to n = 640.

17 min read   ·   February 01, 2026

2026   ·   numerical-methods   linear-algebra   dynamical-systems   aerospace