Interpolation theory provides a systematic means of constructing intermediate spaces between two given function spaces, capturing properties such as smoothness, integrability and decay in a single ...

The implied volatility is a crucial element in any financial toolbox, since it is used to both quote and hedge options as well as for model calibration. In contrast to the Black–Scholes formula, its ...

Numerical analysis develops, analyses and implements algorithms for approximating the solutions of mathematical problems that cannot be expressed in closed form. Central challenges include ...