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Stokhos_MonomialGramSchmidtPCEBasis.hpp
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41
42#ifndef STOKHOS_MONOMIAL_GRAM_SCHMIDT_PCE_BASIS_HPP
43#define STOKHOS_MONOMIAL_GRAM_SCHMIDT_PCE_BASIS_HPP
44
46
47namespace Stokhos {
48
58 template <typename ordinal_type, typename value_type>
60 public GSReducedPCEBasisBase<ordinal_type,value_type> {
61 public:
62
64
72 ordinal_type p,
73 const Teuchos::Array< Stokhos::OrthogPolyApprox<ordinal_type, value_type> >& pce,
74 const Teuchos::RCP<const Stokhos::Quadrature<ordinal_type, value_type> >& quad,
75 const Teuchos::ParameterList& params = Teuchos::ParameterList());
76
79
81
82
84 virtual const std::string& getName() const;
85
87
88 protected:
89
91
94 virtual ordinal_type
96 ordinal_type max_p,
97 value_type threshold,
98 const Teuchos::SerialDenseMatrix<ordinal_type,value_type>& A,
99 const Teuchos::SerialDenseMatrix<ordinal_type,value_type>& F,
100 const Teuchos::Array<value_type>& weights,
101 Teuchos::Array< Stokhos::MultiIndex<ordinal_type> >& terms_,
102 Teuchos::Array<ordinal_type>& num_terms_,
103 Teuchos::SerialDenseMatrix<ordinal_type,value_type>& Qp_,
104 Teuchos::SerialDenseMatrix<ordinal_type,value_type>& Q_);
105
106 private:
107
108 // Prohibit copying
110
111 // Prohibit Assignment
113
114 protected:
115
117 typedef Teuchos::SerialDenseVector<ordinal_type,value_type> SDV;
118 typedef Teuchos::SerialDenseMatrix<ordinal_type,value_type> SDM;
119
121 std::string name;
122
123 }; // class MonomialGramSchmidtPCEBasis
124
125} // Namespace Stokhos
126
127// Include template definitions
129
130#endif
Utilities for indexing a multi-variate complete polynomial basis.
Generate a basis from a given set of PCE expansions that is orthogonal with respect to the product me...
Teuchos::ParameterList params
Algorithm parameters.
Generate a basis from a given set of PCE expansions that is orthogonal with respect to the product me...
virtual const std::string & getName() const
Return string name of basis.
MonomialGramSchmidtPCEBasis(const MonomialGramSchmidtPCEBasis &)
Teuchos::SerialDenseMatrix< ordinal_type, value_type > SDM
MonomialGramSchmidtPCEBasis & operator=(const MonomialGramSchmidtPCEBasis &b)
MonomialGramSchmidtPCEBasis(ordinal_type p, const Teuchos::Array< Stokhos::OrthogPolyApprox< ordinal_type, value_type > > &pce, const Teuchos::RCP< const Stokhos::Quadrature< ordinal_type, value_type > > &quad, const Teuchos::ParameterList &params=Teuchos::ParameterList())
Constructor.
Stokhos::CompletePolynomialBasisUtils< ordinal_type, value_type > CPBUtils
Teuchos::SerialDenseVector< ordinal_type, value_type > SDV
virtual ordinal_type buildReducedBasis(ordinal_type max_p, value_type threshold, const Teuchos::SerialDenseMatrix< ordinal_type, value_type > &A, const Teuchos::SerialDenseMatrix< ordinal_type, value_type > &F, const Teuchos::Array< value_type > &weights, Teuchos::Array< Stokhos::MultiIndex< ordinal_type > > &terms_, Teuchos::Array< ordinal_type > &num_terms_, Teuchos::SerialDenseMatrix< ordinal_type, value_type > &Qp_, Teuchos::SerialDenseMatrix< ordinal_type, value_type > &Q_)
Build the reduced basis, parameterized by total order max_p.
A multidimensional index.
Class to store coefficients of a projection onto an orthogonal polynomial basis.
Abstract base class for quadrature methods.
Top-level namespace for Stokhos classes and functions.