TOOL · GLOBAL
Diagonal Frog: high-order FD schemes preserve positivity in anisotropic Fokker-Planck
Computational technique (Diagonal Frog) for solving Fokker-Planck equations in multi-dimensional spaces with cross-diffusion, guaranteeing non-negative probability densities. Avoids numerical artifacts in monte-carlo risk engines.
WHY IT MATTERS
Risk and valuation systems solving PDEs (e.g., stochastic volatility calibration, CVA Monte Carlo) suffer from unphysical negative probabilities; this scheme eliminates that class of error without sacrificing accuracy.
Source: arXiv · 2026-06-24