Stokhos Package Browser (Single Doxygen Collection)  Version of the Day
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Friends Macros Groups Pages
Stokhos_MonomialGramSchmidtPCEBasis.hpp
Go to the documentation of this file.
1 // @HEADER
2 // ***********************************************************************
3 //
4 // Stokhos Package
5 // Copyright (2009) Sandia Corporation
6 //
7 // Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
8 // license for use of this work by or on behalf of the U.S. Government.
9 //
10 // Redistribution and use in source and binary forms, with or without
11 // modification, are permitted provided that the following conditions are
12 // met:
13 //
14 // 1. Redistributions of source code must retain the above copyright
15 // notice, this list of conditions and the following disclaimer.
16 //
17 // 2. Redistributions in binary form must reproduce the above copyright
18 // notice, this list of conditions and the following disclaimer in the
19 // documentation and/or other materials provided with the distribution.
20 //
21 // 3. Neither the name of the Corporation nor the names of the
22 // contributors may be used to endorse or promote products derived from
23 // this software without specific prior written permission.
24 //
25 // THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
26 // EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
27 // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
28 // PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
29 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
30 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
31 // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
32 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
33 // LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
34 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
35 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
36 //
37 // Questions? Contact Eric T. Phipps (etphipp@sandia.gov).
38 //
39 // ***********************************************************************
40 // @HEADER
41 
42 #ifndef STOKHOS_MONOMIAL_GRAM_SCHMIDT_PCE_BASIS_HPP
43 #define STOKHOS_MONOMIAL_GRAM_SCHMIDT_PCE_BASIS_HPP
44 
46 
47 namespace Stokhos {
48 
58  template <typename ordinal_type, typename value_type>
60  public GSReducedPCEBasisBase<ordinal_type,value_type> {
61  public:
62 
64 
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,
100  const Teuchos::Array<value_type>& weights,
102  Teuchos::Array<ordinal_type>& num_terms_,
105 
106  private:
107 
108  // Prohibit copying
110 
111  // Prohibit Assignment
113 
114  protected:
115 
119 
121  std::string name;
122 
123  }; // class MonomialGramSchmidtPCEBasis
124 
125 } // Namespace Stokhos
126 
127 // Include template definitions
129 
130 #endif
Stokhos::CompletePolynomialBasisUtils< ordinal_type, value_type > CPBUtils
Utilities for indexing a multi-variate complete polynomial basis.
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.
Generate a basis from a given set of PCE expansions that is orthogonal with respect to the product me...
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.
Abstract base class for quadrature methods.
MonomialGramSchmidtPCEBasis & operator=(const MonomialGramSchmidtPCEBasis &b)
Generate a basis from a given set of PCE expansions that is orthogonal with respect to the product me...
Teuchos::SerialDenseVector< ordinal_type, value_type > SDV
ordinal_type p
Total order of basis.
Teuchos::ParameterList params
Algorithm parameters.
virtual const std::string & getName() const
Return string name of basis.
Teuchos::SerialDenseMatrix< ordinal_type, value_type > SDM