The main focus of this paper is the solution of some partial differential equations of fractional order. Promising methods based on matrix functions are taken in consideration. The features of different approaches are discussed and compared with results provided by classical convolution...

This paper initiates a research program to provide computer function routines that can be used to deliver critical values or significance levels for statistical tests. These routines are easily integrated into existing econometric software and can be made available on a user call basis. The...

A new successive over-relaxation method to compute the Black-Scholes implied volatility is introduced. Properties of the new method are fully analysed, including global well-definedness, local convergence, as well as global convergence. Quadratic order of convergence is achieved by either a...