Bases defined by combinatorial product of polynomial bases. More...

#include <Stokhos_StochasticProductTensor.hpp>

Public Types
typedef Device	execution_space
typedef ValueType	value_type
typedef TensorType	tensor_type
typedef tensor_type::size_type	size_type

Public Member Functions
	StochasticProductTensor (const StochasticProductTensor &rhs)
StochasticProductTensor &	operator= (const StochasticProductTensor &rhs)
KOKKOS_INLINE_FUNCTION const tensor_type &	tensor () const
KOKKOS_INLINE_FUNCTION size_type	dimension () const
	Dimension: number of bases and length of the vector block (and tensor).
KOKKOS_INLINE_FUNCTION size_type	aligned_dimension () const
	Aligned dimension: length of the vector block properly aligned.
KOKKOS_INLINE_FUNCTION size_type	variable_count () const
	How many variables are being expanded.
template<typename iType>
KOKKOS_INLINE_FUNCTION size_type	variable_degree (const iType &iVariable) const
	Polynomial degree of a given variable.
template<typename iType, typename jType>
KOKKOS_INLINE_FUNCTION size_type	bases_degree (const iType &iBasis, const jType &iVariable) const
	Basis function 'iBasis' is the product of 'variable_count()' polynomials. Return the polynomial degree of component 'iVariable'.
void	print (std::ostream &s) const

Static Public Member Functions
template<typename OrdinalType, typename CijkType>
static StochasticProductTensor	create (const Stokhos::ProductBasis< OrdinalType, ValueType > &basis, const CijkType &Cijk, const Teuchos::ParameterList &params=Teuchos::ParameterList())

Detailed Description

template<typename ValueType, typename TensorType, class Device>
class Stokhos::StochasticProductTensor< ValueType, TensorType, Device >

Bases defined by combinatorial product of polynomial bases.

Bases: \prod_{j=0}^{N-1} P_k(x) \forall j and k \in M(j) Where: P_k is a polynomial of degree k Where: <P_a,P_b> is the the integral on [-1,1] Where: <P_a,P_b> is the Kronecker delta \delta_{a,b} thus the polynomials are normalized with respect to this inner product.

Where: N = the number of variables expanded via polynomial bases Where: M(j) = the degree of a particular variable

Where: \psi_I(x) = is one basis function and I is a multi-index of rank N, denoting one function from each variable's polynomial bases.

Were: <\psi_I,\psi_J,\psi_K> is the integral on [-1,1]

The bases space is sparse due to orthogonality within the expansion.

The documentation for this class was generated from the following file:

Stokhos_StochasticProductTensor.hpp

Public Types

Public Member Functions

Static Public Member Functions

Detailed Description