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Numerical References

This file maps the main numerical methods in the codebase to entries in citations.bib. It is intended as a quick guide for review and maintenance, not as a substitute for the source papers.

Models and Calibration

  • SVI parameterization, calibration, and arbitrage constraints: GatheralJacquier2014SVI, MartiniMingone2020NoArbitrageSVI, Ferhati2020SVI, Lee2004Moment

  • Heston pricing and calibration: Heston1993SV, Albrecher2007LittleHeston, Cui2016FastHeston, AndersenLake2018Fourier

  • Local volatility and volatility interpolation: Dupire1994Smile, AndreasenHuge2010Interpolation

Numerical Methods

  • Black--Scholes implied volatility inversion: Jaeckel2015LetsBeRational

  • Black / Black-76 option pricing: Black1976Commodity

  • Cubic splines and monotone interpolation: DeBoor2001Splines, FritschCarlson1980Monotone, FritschButland1984Monotone

  • Double-exponential / tanh-sinh quadrature: TakahasiMori1974DoubleExponential

  • Numerical linear algebra and floating-point stability: Higham2002Accuracy