Schema_RK_Classique.h

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#ifndef Schema_RK_Classique_included
#define Schema_RK_Classique_included
 
#include <TRUSTSchema_RK.h>
 
/// \cond DO_NOT_DOCUMENT
class Schema_RK_Classique
{ };
/// \endcond
 
/*! @brief : class RK2_Classique This class represents a classical second-order Runge-Kutta time scheme:
 *
 *      k1 = h * f(y0)
 *      k2 = h * f(y0 + 0.5 * k1)
 *      y1 = y0 + k2
 *
 */
class RK2_Classique: public TRUSTSchema_RK<Ordre_RK::DEUX_CLASSIQUE>
{
  Declare_instanciable(RK2_Classique);
};
 
/*! @brief : class RK3_Classique This class represents a classical third-order Runge-Kutta time scheme:
 *
 *      k1 = h * f(y0)
 *      k2 = h * f(y0 + 0.5 * k1)
 *      k3 = h * f(y0 - k1 + 2 * k2)
 *      y1 = y0 + 1/6 * (k1 + 4 * k2 + k3)
 *
 */
class RK3_Classique: public TRUSTSchema_RK<Ordre_RK::TROIS_CLASSIQUE>
{
  Declare_instanciable(RK3_Classique);
};
 
/*! @brief : class RK4_Classique This class represents a classical fourth-order Runge-Kutta time scheme:
 *
 *      k1 = h * f(y0)
 *      k2 = h * f(y0 + 0.5 * k1)
 *      k3 = h * f(y0 + 0.5 * k2)
 *      k4 = h * f(y0 + k3)
 *      y1 = y0 + 1/6 * (k1 + 2 * k2 + 2 * k3 + k4)
 *
 */
class RK4_Classique: public TRUSTSchema_RK<Ordre_RK::QUATRE_CLASSIQUE>
{
  Declare_instanciable(RK4_Classique);
};
 
/*! @brief : class RK4_Classique_3_8 This class represents a classical fourth-order Runge-Kutta time scheme with 3/8 rule coefficients:
 *
 *      k1 = h * f(y0)
 *      k2 = h * f(y0 + 1/3 * k1)
 *      k3 = h * f(y0 - 1/3 * k1 + k2)
 *      k4 = h * f(y0 + k1 - k2 + k3)
 *      y1 = y0 + 1/8 * (k1 + 3 * k2 + 3 * k3 + k4)
 *
 */
class RK4_Classique_3_8: public TRUSTSchema_RK<Ordre_RK::QUATRE_CLASSIQUE_3_8>
{
  Declare_instanciable(RK4_Classique_3_8);
};
 
#endif /* Schema_RK_Classique_included */