.. _method-multifidelity_polynomial_chaos-quadrature_order_sequence:

"""""""""""""""""""""""""
quadrature_order_sequence
"""""""""""""""""""""""""


Sequence of quadrature orders used in a multi-stage expansion


.. toctree::
   :hidden:
   :maxdepth: 1

   method-multifidelity_polynomial_chaos-quadrature_order_sequence-dimension_preference
   method-multifidelity_polynomial_chaos-quadrature_order_sequence-nested
   method-multifidelity_polynomial_chaos-quadrature_order_sequence-non_nested


**Specification**

- *Alias:* None

- *Arguments:* INTEGERLIST


**Child Keywords:**

+-------------------------+--------------------+--------------------------+---------------------------------------------+
| Required/Optional       | Description of     | Dakota Keyword           | Dakota Keyword Description                  |
|                         | Group              |                          |                                             |
+=========================+====================+==========================+=============================================+
| Optional                                     | `dimension_preference`__ | A set of weights specifying the realtive    |
|                                              |                          | importance of each uncertain variable       |
|                                              |                          | (dimension)                                 |
+-------------------------+--------------------+--------------------------+---------------------------------------------+
| Optional (Choose One)   | Quadrature Rule    | `nested`__               | Enforce use of nested quadrature rules if   |
|                         | Nesting            |                          | available                                   |
|                         |                    +--------------------------+---------------------------------------------+
|                         |                    | `non_nested`__           | Enforce use of non-nested quadrature rules  |
+-------------------------+--------------------+--------------------------+---------------------------------------------+

.. __: method-multifidelity_polynomial_chaos-quadrature_order_sequence-dimension_preference.html
__ method-multifidelity_polynomial_chaos-quadrature_order_sequence-nested.html
__ method-multifidelity_polynomial_chaos-quadrature_order_sequence-non_nested.html



**Description**


Each level entry of the ``quadrature_order_sequence`` applies to one
expansion within a multi-stage expansion.  Current multi-stage
expansions that support quadrature order sequences include multilevel
polynomial chaos, multifidelity polynomial chaos, or multifidelity
stochastic collocation expansions.

If adaptive refinement is active, then this sequence specifies the
starting point for each level within either an individual or
integrated refinement approach.

A corresponding scalar specification is documented at, e.g.,
:dakkw:`method-polynomial_chaos-quadrature_order`