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