SIAM Journal on Numerical Analysis, Vol. 54, No. 4 (2016), pp. 2256-2281 (26 pages) The focus of this paper is the approximation of analytic functions on compact intervals from their pointwise values ...

We introduce a finite element method for numerical upscaling of second order elliptic equations with highly heterogeneous coefficients. The method is based on a mixed formulation of the problem and ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

Abstract. We present a nonparametric approach based on local polynomial regression for ensemble forecast of time series. The state space is first reconstructed by embedding the univariate time series ...