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Abstract base class for multivariate orthogonal polynomials that support computing double and triple products involving derivatives of the basis polynomials. More...
#include <Stokhos_DerivBasis.hpp>
Public Member Functions | |
DerivBasis () | |
Constructor. | |
virtual | ~DerivBasis () |
Destructor. | |
virtual Teuchos::RCP< Stokhos::Dense3Tensor< ordinal_type, value_type > > | computeDerivTripleProductTensor (const Teuchos::RCP< const Teuchos::SerialDenseMatrix< ordinal_type, value_type > > &Bij, const Teuchos::RCP< const Stokhos::Sparse3Tensor< ordinal_type, value_type > > &Cijk) const =0 |
Compute triple product tensor ![]() ![]() ![]() ![]() | |
virtual Teuchos::RCP< Teuchos::SerialDenseMatrix< ordinal_type, value_type > > | computeDerivDoubleProductTensor () const =0 |
Compute double product tensor ![]() ![]() ![]() ![]() | |
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OrthogPolyBasis () | |
Constructor. | |
virtual | ~OrthogPolyBasis () |
Destructor. | |
virtual ordinal_type | order () const =0 |
Return order of basis. | |
virtual ordinal_type | dimension () const =0 |
Return dimension of basis. | |
virtual ordinal_type | size () const =0 |
Return total size of basis. | |
virtual const Teuchos::Array< value_type > & | norm_squared () const =0 |
Return array storing norm-squared of each basis polynomial. | |
virtual const value_type & | norm_squared (ordinal_type i) const =0 |
Return norm squared of basis polynomial i . | |
virtual Teuchos::RCP< Stokhos::Sparse3Tensor< ordinal_type, value_type > > | computeTripleProductTensor () const =0 |
Compute triple product tensor. | |
virtual Teuchos::RCP< Stokhos::Sparse3Tensor< ordinal_type, value_type > > | computeLinearTripleProductTensor () const =0 |
Compute linear triple product tensor where k = 0,1. | |
virtual value_type | evaluateZero (ordinal_type i) const =0 |
Evaluate basis polynomial i at zero. | |
virtual void | evaluateBases (const Teuchos::ArrayView< const value_type > &point, Teuchos::Array< value_type > &basis_vals) const =0 |
Evaluate basis polynomials at given point point . | |
virtual void | print (std::ostream &os) const =0 |
Print basis to stream os . | |
virtual const std::string & | getName () const =0 |
Return string name of basis. | |
Private Member Functions | |
DerivBasis (const DerivBasis &) | |
DerivBasis & | operator= (const DerivBasis &b) |
Abstract base class for multivariate orthogonal polynomials that support computing double and triple products involving derivatives of the basis polynomials.
Definition at line 57 of file Stokhos_DerivBasis.hpp.
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inline |
Constructor.
Definition at line 62 of file Stokhos_DerivBasis.hpp.
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inlinevirtual |
Destructor.
Definition at line 65 of file Stokhos_DerivBasis.hpp.
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private |
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pure virtual |
Compute triple product tensor
The definition of
Implemented in Stokhos::CompletePolynomialBasis< ordinal_type, value_type >.
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pure virtual |
Compute double product tensor
The definition of
Implemented in Stokhos::CompletePolynomialBasis< ordinal_type, value_type >.
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private |