Line data    Source code

       1            0 : // Distributed under the MIT License.
       2              : // See LICENSE.txt for details.
       3              : 
       4              : #pragma once
       5              : 
       6              : #include <cstddef>
       7              : 
       8              : /// \cond
       9              : class Matrix;
      10              : template <size_t>
      11              : class Mesh;
      12              : namespace Spectral {
      13              : enum class Basis : uint8_t;
      14              : enum class Quadrature : uint8_t;
      15              : }  // namespace Spectral
      16              : /// \endcond
      17              : 
      18              : namespace Spectral {
      19              : /*!
      20              :  * \brief %Matrix used to linearize a function.
      21              :  *
      22              :  * \details Filters out all except the lowest two modes by applying
      23              :  * \f$\mathcal{V}^{-1}\cdot\mathrm{diag}(1,1,0,0,...)\cdot\mathcal{V}\f$ to the
      24              :  * nodal coefficients, where \f$\mathcal{V}\f$ is the Vandermonde matrix
      25              :  * computed in `modal_to_nodal_matrix(size_t)`.
      26              :  *
      27              :  * \param num_points The number of collocation points
      28              :  *
      29              :  * \see modal_to_nodal_matrix(size_t)
      30              :  * \see nodal_to_modal_matrix(size_t)
      31              :  */
      32              : template <Basis BasisType, Quadrature QuadratureType>
      33            1 : const Matrix& linear_filter_matrix(size_t num_points);
      34              : 
      35              : /*!
      36              :  * \brief Linear filter matrix for a one-dimensional mesh.
      37              :  *
      38              :  * \see linear_filter_matrix(size_t)
      39              :  */
      40            1 : const Matrix& linear_filter_matrix(const Mesh<1>& mesh);
      41              : }  // namespace Spectral