python.uq.quadrature.bilinearform.bilinear_form Namespace Reference

Functions
def	computeBilinearForm (grid, U)
def	computeBilinearFormQuad (grid, U)
def	computePiecewiseConstantBilinearForm (grid, U)

Detailed Description

Created on Jul 23, 2014

@author: franzefn

Function Documentation

computeBilinearForm()

def python.uq.quadrature.bilinearform.bilinear_form.computeBilinearForm	(		grid,
			U
	)

Compute bilinear form
(A)_ij = \int phi_i phi_j dU(x)
on measure U, which is in this case supposed to be a lebesgue measure.
@param grid: Grid, sparse grid
@param U: list of distributions, Lebeasgue measure
@return: DataMatrix

References python.uq.operations.discretization.discretize(), python.uq.quadrature.sparse_grid.doQuadrature(), python.statsfileInfo.f, python.uq.operations.sparse_grid.getBasis(), and python.uq.operations.sparse_grid.hierarchize().

computeBilinearFormQuad()

def python.uq.quadrature.bilinearform.bilinear_form.computeBilinearFormQuad	(		grid,
			U
	)

References python.statsfileInfo.f, python.uq.operations.sparse_grid.getBasis(), and python.uq.quadrature.full_grid.quad().

computePiecewiseConstantBilinearForm()

def python.uq.quadrature.bilinearform.bilinear_form.computePiecewiseConstantBilinearForm	(		grid,
			U
	)

References sgpp::op_factory.createOperationLTwoDotExplicit().