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Numerical method for nonlinear Kolmogorov PDEs via sensitivity analysis

math.NA · 2024-03-18 · unverdicted · novelty 6.0

A sensitivity analysis reduces nonlinear Kolmogorov PDEs (nonlinearity from ε-neighborhood max over drifts/diffusions) to a linear PDE plus ε times a second linear PDE, enabling efficient high-dimensional Monte Carlo approximation with error bounds.

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  • Numerical method for nonlinear Kolmogorov PDEs via sensitivity analysis math.NA · 2024-03-18 · unverdicted · none · ref 20

    A sensitivity analysis reduces nonlinear Kolmogorov PDEs (nonlinearity from ε-neighborhood max over drifts/diffusions) to a linear PDE plus ε times a second linear PDE, enabling efficient high-dimensional Monte Carlo approximation with error bounds.