Dakota Reference Manual  Version 6.15
Explore and Predict with Confidence
 All Pages
hierarchical


Employ a hierarchical sparse grid construction

Specification

Alias: none

Argument(s): none

Description

Stochastic collocation with sparse grids can employ either a nodal or hierarchical formulation. The hierarchical formulation requires nested interpolation rules as it utilizes increments in collocation points along with hierarchical weights defined from a hierarchical basis formulation.

This keyword requests the hierarchical formulation, which has benefits for adaptive refinement by supporting direct computation of increments in targeted statistics (e.g. mean, covariance, reliability indices), avoiding loss of precision from subtractive cancellation.