Dakota Reference Manual: hierarchical

| Dakota Reference Manual Version 6.15 Explore and Predict with Confidence

- Main Page
- Related Pages

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.