ImplicitEuler.hh

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/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *\
 * Copyright (c) 2025, Davide Stocco and Enrico Bertolazzi.                                      *
 *                                                                                               *
 * The Sandals project is distributed under the BSD 2-Clause License.                            *
 *                                                                                               *
 * Davide Stocco                                                               Enrico Bertolazzi *
 * University of Trento                                                     University of Trento *
 * e-mail: davide.stocco@unitn.it                             e-mail: enrico.bertolazzi@unitn.it *
\* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
 
#pragma once
 
#ifndef SANDALS_IMPLICITEULER_HH
#define SANDALS_IMPLICITEULER_HH
 
#include <Sandals.hh>
#include <Sandals/RungeKutta.hh>
 
namespace Sandals
{
  template <typename Real>
  class ImplicitEulerTableau : public Tableau<Real, 1>
  {
  public:
    using typename Tableau<Real, 1>::Type;
    using typename Tableau<Real, 1>::Vector;
    using typename Tableau<Real, 1>::Matrix;

    ImplicitEulerTableau<Real>() {
      this->name  = "ImplicitEuler";
      this->type  = Type::IRK;
      this->order = 1;
      this->A << 1.0;
      this->b << 1.0;
      this->c << 1.0;
    }
  }; // class ImplicitEulerTableau

  template <typename Real, Integer N, Integer M = 0>
  class ImplicitEuler : public RungeKutta<Real, 1, N, M>
  {
  public:
    using System = typename Implicit<Real, N, M>::Pointer; 

    ImplicitEuler() : RungeKutta<Real, 1, N, M>(ImplicitEulerTableau<Real>()) {}

    ImplicitEuler(System t_system) : RungeKutta<Real, 1, N, M>(ImplicitEulerTableau<Real>(), t_system) {}
 
  }; // class ImplicitEuler
 
} // namespace Sandals
 
#endif // SANDALS_IMPLICITEULER_HH