Top-level namespace for Stokhos classes and functions. More...

Namespaces
namespace	KL
	Namespace for analytic KL expansions.
Classes
class	AlgebraicOrthogPolyExpansion
	Orthogonal polynomial expansions limited to algebraic operations. More...
class	AnisoSparseGridQuadrature
	Defines quadrature for a tensor product basis by anisotropic Smolyak sparse grids. More...
class	BasisFactory
	Factory for building multivariate orthogonal polynomial bases. More...
class	ClenshawCurtisLegendreBasis
	Legendre polynomial basis using Clenshaw-Curtis quadrature points. More...
class	CompletePolynomialBasis
	Multivariate orthogonal polynomial basis generated from a total-order complete-polynomial tensor product of univariate polynomials. More...
class	ConstantOrthogPolyExpansion
	Orthogonal polynomial expansion class for constant (size 1) expansions. More...
class	Dense3Tensor
	Data structure storing a dense 3-tensor C(i,j,k). More...
class	DerivBasis
	Abstract base class for multivariate orthogonal polynomials that support computing double and triple products involving derivatives of the basis polynomials. More...
class	DerivOrthogPolyExpansion
	Othogonal polynomial expansions based on derivative calculations. More...
class	DiscretizedStieltjesBasis
	Generates three-term recurrence using the Discretized Stieltjes procedure. More...
struct	IsScalarType
	Base template specification for IsScalarType. More...
struct	IsScalarType< float >
struct	IsScalarType< double >
struct	IsScalarType< int >
struct	IsScalarType< long >
struct	ds_array
	Dynamic array allocation class that works for any type. More...
struct	ds_array< T, true >
	Dynamic array allocation class that is specialized for scalar i.e., fundamental or built-in types (float, double, etc...). More...
class	EpetraMultiVectorOperator
	An adaptor that supplies the operator interface to a multi-vector. More...
class	EpetraMultiVectorOrthogPoly
	A container class storing an orthogonal polynomial whose coefficients are vectors, operators, or in general any type that would have an expensive copy constructor. More...
class	EpetraVectorOrthogPoly
	A container class storing an orthogonal polynomial whose coefficients are vectors, operators, or in general any type that would have an expensive copy constructor. More...
class	ExpansionFactory
	Factory for building multivariate expansion strategies. More...
class	ForUQTKOrthogPolyExpansion
class	GramSchmidtBasis
	Transforms a non-orthogonal multivariate basis to an orthogonal one using the Gram-Schmit procedure. More...
class	HermiteBasis
	Hermite polynomial basis. More...
class	IfpackPreconditionerFactory
	A factory for building Ifpack preconditioners. More...
class	JacobiBasis
	Jacobi polynomial basis. More...
class	KLMatrixFreeEpetraOp
	An Epetra operator representing the block stochastic Galerkin operator. More...
class	KLReducedMatrixFreeEpetraOp
	An Epetra operator representing the block stochastic Galerkin operator. More...
class	LegendreBasis
	Legendre polynomial basis. More...
class	MatrixFreeEpetraOp
	An Epetra operator representing the block stochastic Galerkin operator. More...
class	MeanEpetraOp
	An Epetra operator representing applying the mean in a block stochastic Galerkin expansion. More...
class	MLPreconditionerFactory
	A factory for building ML preconditioners. More...
class	OneDOrthogPolyBasis
	Abstract base class for 1-D orthogonal polynomials. More...
class	OrthogPolyApprox
	Class to store coefficients of a projection onto an orthogonal polynomial basis. More...
class	OrthogPolyBasis
	Abstract base class for multivariate orthogonal polynomials. More...
class	OrthogPolyExpansion
	Abstract base class for orthogonal polynomial-based expansions. More...
class	PCECovarianceOp
	An Epetra operator representing the covariance operator of a polynomial chaos expansion. More...
class	PecosOneDOrthogPolyBasis
	Implementation of OneDOrthogPolyBasis via Pecos. More...
class	PreconditionerFactory
	An abstract class to represent a generic preconditioner factory. More...
class	ProductBasis
	Abstract base class for multivariate orthogonal polynomials generated from tensor products of univariate polynomials. More...
class	QuadOrthogPolyExpansion
	Orthogonal polynomial expansions based on numerical quadrature. More...
class	Quadrature
	Abstract base class for quadrature methods. More...
class	QuadratureFactory
	Factory for building multivariate quadrature strategies. More...
class	RecurrenceBasis
	Implementation of OneDOrthogPolyBasis based on the general three-term recurrence relationship: $\psi_{k+1}(x) = \gamma_{k+1}\big( (\alpha_k - \delta_k x)\psi_k(x) - \beta_k\psi_{k-1}(x) \big)$ for $k=0,\dots,P$ where $\psi_{-1}(x) = 0$ , $\psi_{0}(x) = 1$ , and $\beta_{0} = 1$ . More...
class	RysBasis
	Rys polynomial basis. More...
class	SGInverseModelEvaluator
	Nonlinear, inverse stochastic Galerkin ModelEvaluator. More...
class	SGModelEvaluator
	Nonlinear, stochastic Galerkin ModelEvaluator. More...
class	SGQuadModelEvaluator
	ModelEvaluator adaptor that implements the stochastic Galerkin residual and Jacobian computations using quadrature. More...
class	Sparse3Tensor
	Data structure storing a sparse 3-tensor C(i,j,k) in a a compressed format. More...
class	SparseGridQuadrature
	Defines quadrature for a tensor product basis by Smolyak sparse grids. More...
class	StieltjesGramSchmidtBuilder
	Class for building a reduced-dimension basis and quadrature from a given set of polynomial chaos expansions. First generates 1-D orthogonal bases using the discretized Stieltjes procedure, forms their tensor product, and then orthogonalizes using Gram-Schmidt. More...
class	StieltjesPCEBasis
	Generates three-term recurrence using the Discretized Stieltjes procedure applied to a polynomial chaos expansion in another basis. More...
class	TensorProductQuadrature
	Defines quadrature for a tensor product basis by tensor products of 1-D quadrature rules. More...
class	UserDefinedQuadrature
class	VectorOrthogPolyTraits
	Base traits definition for VectorOthogPoly. More...
class	VectorOrthogPoly
	A container class storing an orthogonal polynomial whose coefficients are vectors, operators, or in general any type that would have an expensive copy constructor. More...
class	EpetraVectorCloner
	Cloner for Epetra_Vector coefficients. More...
class	EpetraMultiVectorCloner
	Cloner for Epetra_MultiVector coefficients. More...
class	EpetraOperatorCloner
	Cloner for Epetra_Operator coefficients. More...
class	EpetraCrsMatrixCloner
	Cloner for Epetra_CrsMatrix coefficients. More...
class	VectorOrthogPolyTraits< Epetra_Vector >
	Specialization of VectorOrthogPolyTraits to Epetra_Vector coefficients. More...
class	VectorOrthogPolyTraits< Epetra_MultiVector >
	Specialization of VectorOrthogPolyTraits to Epetra_MultiVector coefficients. More...
class	VectorOrthogPolyTraits< Epetra_CrsMatrix >
	Specialization of VectorOrthogPolyTraits to Epetra_CrsMatrix coefficients. More...
class	VectorOrthogPolyTraits< Epetra_Operator >
	Specialization of VectorOrthogPolyTraits to Epetra_Operator coefficients. More...
Functions
template<typename ordinal_type , typename value_type >
std::ostream &	operator<< (std::ostream &os, const Dense3Tensor< ordinal_type, value_type > &Cijk)
template<typename ordinal_type , typename value_type >
std::ostream &	operator<< (std::ostream &os, const OneDOrthogPolyBasis< ordinal_type, value_type > &b)
	Print basis to stream `os`.
template<typename ordinal_type , typename value_type >
std::ostream &	operator<< (std::ostream &os, const OrthogPolyApprox< ordinal_type, value_type > &a)
	Prints the array of coefficients (more compact than print())
template<typename ordinal_type , typename value_type >
std::ostream &	operator<< (std::ostream &os, const OrthogPolyBasis< ordinal_type, value_type > &b)
	Print basis to stream `os`.
template<typename ordinal_type , typename value_type >
std::ostream &	operator<< (std::ostream &os, const Quadrature< ordinal_type, value_type > &quad)
	Print quadrature object to stream.
template<typename ordinal_type , typename value_type >
std::ostream &	operator<< (std::ostream &os, const Sparse3Tensor< ordinal_type, value_type > &Cijk)
template<typename ordinal_type , typename value_type >
Teuchos::RCP< Epetra_CrsGraph >	sparse3Tensor2CrsGraph (const Stokhos::OrthogPolyBasis< ordinal_type, value_type > &basis, const Stokhos::Sparse3Tensor< ordinal_type, value_type > &Cijk, const Epetra_Comm &comm)
	Build an Epetra_CrsGraph from a sparse 3 tensor.
template<typename ordinal_type , typename value_type >
void	sparse3Tensor2MatrixMarket (const Stokhos::OrthogPolyBasis< ordinal_type, value_type > &basis, const Stokhos::Sparse3Tensor< ordinal_type, value_type > &Cijk, const Epetra_Comm &comm, const std::string &file)
template<typename coeff_type >
std::ostream &	operator<< (std::ostream &os, const VectorOrthogPoly< coeff_type > &vec)

Detailed Description

Top-level namespace for Stokhos classes and functions.

Function Documentation

template<typename ordinal_type , typename value_type >

Teuchos::RCP<Epetra_CrsGraph> Stokhos::sparse3Tensor2CrsGraph	(	const Stokhos::OrthogPolyBasis< ordinal_type, value_type > &	basis,
		const Stokhos::Sparse3Tensor< ordinal_type, value_type > &	Cijk,
		const Epetra_Comm &	comm
	)

Build an Epetra_CrsGraph from a sparse 3 tensor.

Builds a sparse graph from a sparse 3 tensor by summing over the third index. This graph then represents the sparsity pattern of the stochastic part of the block stochastic Galerkin operator. Redistributing the graph should then provide a suitable parallel distribution for block stochastic Galerkin linear solves.

Namespaces

Classes

Functions

Detailed Description

Function Documentation