Efficient Taylor expansion computation of multidimensional vector functions on GPU

The Taylor expansion [19] is used in many applications for a value estimation of scalar functions one or two variables the neighbour point. Usually, only first elements are used, i.e. given point and derivatives estimation. can be also vector functions, too. usual formulae well known, but if second element expansion, with to mathematical formulations getting too complex efficient programming, as it leads use multi-dimensional matrices. This contribution describes new form multidimensional functions. proposed approach uses “standard” formalism linear algebra, using vectors matrices, which simple, easy implement. It computation on GPU three dimensional case, offers fast vector-vector parts done parallel.