Sparse Grid Adaptive Interpolation in Problems of Modeling Dynamic Systems with Interval Parameters

The paper is concerned with the issues of modeling dynamic systems interval parameters. In previous works, authors proposed an adaptive interpolation algorithm for solving problems; essence construction a piecewise polynomial function that interpolates solution problem given accuracy. main applying related to curse dimension, i.e., exponential complexity relative number uncertainties in objective this work apply previously large order reduce computational algorithm, propose using sparse grids. This article introduces novelty approach grids problems uncertainties. efficiency has been demonstrated on representative nonlinear dynamics and materials science.