This paper presents the error estimate for the integrated formulation of the tau method for over-determined ordinary differential equations. In the earlier works of these authors, the generalized error estimation of tau approximates for the ODES for the integrated formulation for...

We consider a standard Brownian motion whose drift can be increased or decreased in a possibly singular manner. The objective is to minimize an expected functional involving the time-integral of a running cost and the proportional costs of adjusting the drift. The resulting two-dimensional...

We consider a standard Brownian motion whose drift can be increased or decreased in a possibly singular manner. The objective is to minimize an expected functional involving the time-integral of a running cost and the proportional costs of adjusting the drift. The resulting two-dimensional...