TensorProductQR¶

About the `TensorProductQR` class¶

The WaveBlocks Project

class WaveBlocksND.TensorProductQR(rules, options={})[source]¶

This class implements the construction of high dimensional quadrature rules from one-dimensional ones by taking tensor products.

__init__(rules, options={})[source]¶

Initialize a TensorProductQR instance.

Parameters:	rules – A list of `QuadratureRule` subclass instances. Their nodes and weights will be used to compute the tensor product.

construct_rule()[source]¶

Compute the tensor product of the given quadrature rules.

Note

This is an internal method and there should be no reason to explicitely call it manually.

Returns:	The nodes $\{\gamma_i\}_i$ and weights $\{\omega_i\}_i$ of the tensor product quadrature rule. The array of all nodes has a shape of $(D, \|\Gamma\|)$ and the array of weights is of shape $(\|\Gamma\|)$ .

get_description()[source]¶: Return a description of this quadrature rule object. A description is a dict containing all key-value pairs necessary to reconstruct the current instance. A description never contains any data.

get_dimension()¶

Returns:	The space dimension $D$ of the quadrature rule.

get_nodes(flat=True, split=False)[source]¶

Return the quadrature nodes $\{\gamma_i\}_i$ .

Parameters:	flat (Boolean, default is `True`.) – Dummy parameter for API compatibility with Grids. split (Boolean, default is `False`.) – Dummy parameter for API compatibility with Grids.
Returns:	An `ndarray` containing the quadrature nodes $\{\gamma_i\}_i$ .

get_number_nodes()¶

Returns:	The number of quadrature nodes denoted by $\|\Gamma\|$ that are part of this quadrature rule $\Gamma = (\gamma, \omega)$ .

get_weights()[source]¶

Returns the quadrature weights $\{\omega_i\}_i$ .

Returns:	An `ndarray` containing the quadrature weights $\{\omega_i\}_i$ .