RRK2

RRK2#

#include <Schema_RK_Rationnel.h>
Brief description

: classe RRK2 Cette classe represente un schema de Runge Kutta

How to reference this class#

Copy the following pieces of RST/Markdown code to cite this element in other parts of the sphinx documentation (there is a copy button on the top-right when hovering the code block):

:ref:`RRK2 <class-rrk2>`

[RRK2](#class-rrk2)

Detailed description#

rationel d’ordre 2 qui s’ecrit: U(n + 1) = U(n) + (2g1 (g1,b) - b(g1,g1))/(b,b) ou : g1 = dt f(U(n)) g2 = dt f(U(n) + c2 g1) b = b1 g1 + b2 g2 on choisit b1 = 2, b2 = - 1, c2 = 1/2

Inherits from#

List of Public Methods#

List of Public Static Methods#

List of Protected Methods#

Complete Member Function Documentation#

duplique#

Definition
int RRK2::duplique() const override
Brief description
Detailed description

Reimplements:

How to reference this method:

Copy the following pieces of RST/Markdown code to cite this element in other parts of the sphinx documentation (there is a copy button on the top-right when hovering the code block):

:ref:`int RRK2::duplique() const override <rrk2-public-int-rrk2-duplique-const-override>`

[int RRK2::duplique() const override](#rrk2-public-int-rrk2-duplique-const-override)

faire_un_pas_de_temps_eqn_base#

Definition
int RRK2::faire_un_pas_de_temps_eqn_base(Equation_base &) override
Brief description

Effectue un pas de temps de Runge Kutta rationnel d’ordre 2, sur l’equation passee en parametre.

Detailed description

Le schema de Runge Kutta rationel d’ordre 2: g1 = hf(y0) g2 = hf(y0 + c2g1) y1 = y0 + (g1g1)/(b1g1 + b2g2) ou ab/d = (a(b,d) + b(d,a) - d(a,b)/(d,d) y1 = y0 + (2g1(g1,b1g1 + b2g2) - (b1g1 + b2g2)(g1,g1)/(b1g1 + b2g2,b1g1 + b2g2) y1 = y0 + (2g1(g1,”g2”) - (“g2”)(g1,g1)/(“g2”,”g2”) ordre2 si b2c2 = - 1/2 b2c2< = - 1/2 A0 stabilite et I stabilite b2c2< = 1/(2cos(alpha)(2 - cos(alpha))) O< = alpha<pi/2 Aalpha stabilite

Reimplements:

References
How to reference this method:

Copy the following pieces of RST/Markdown code to cite this element in other parts of the sphinx documentation (there is a copy button on the top-right when hovering the code block):

:ref:`int RRK2::faire_un_pas_de_temps_eqn_base(Equation_base &) override <rrk2-public-int-rrk2-faire-un-pas-de-temps-eqn-base-equation-base-ref-override>`

[int RRK2::faire_un_pas_de_temps_eqn_base(Equation_base &) override](#rrk2-public-int-rrk2-faire-un-pas-de-temps-eqn-base-equation-base-ref-override)

get_info#

Definition
const Type_info * RRK2::get_info() const override
Brief description

Donne des informations sur le type de l’ Objet_U .

Detailed description

Reimplements:

How to reference this method:

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:ref:`const Type_info * RRK2::get_info() const override <rrk2-public-const-type-info-ptr-rrk2-get-info-const-override>`

[const Type_info * RRK2::get_info() const override](#rrk2-public-const-type-info-ptr-rrk2-get-info-const-override)

RRK2#

Definition
RRK2::RRK2()
Brief description
Detailed description
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:ref:`RRK2::RRK2() <rrk2-public-rrk2-rrk2>`

[RRK2::RRK2()](#rrk2-public-rrk2-rrk2)

taille_memoire#

Definition
unsigned RRK2::taille_memoire() const override
Brief description
Detailed description

Reimplements:

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:ref:`unsigned RRK2::taille_memoire() const override <rrk2-public-unsigned-rrk2-taille-memoire-const-override>`

[unsigned RRK2::taille_memoire() const override](#rrk2-public-unsigned-rrk2-taille-memoire-const-override)

~RRK2#

Definition
RRK2::~RRK2()
Brief description
Detailed description
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:ref:`RRK2::~RRK2() <rrk2-public-rrk2-dtor-rrk2>`

[RRK2::~RRK2()](#rrk2-public-rrk2-dtor-rrk2)

cree_instance#

Definition
Objet_U * RRK2::cree_instance()
Brief description
Detailed description
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:ref:`Objet_U * RRK2::cree_instance() <rrk2-public-static-objet-u-ptr-rrk2-cree-instance>`

[Objet_U * RRK2::cree_instance()](#rrk2-public-static-objet-u-ptr-rrk2-cree-instance)

info#

Definition
const Type_info * RRK2::info()
Brief description
Detailed description
How to reference this method:

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:ref:`const Type_info * RRK2::info() <rrk2-public-static-const-type-info-ptr-rrk2-info>`

[const Type_info * RRK2::info()](#rrk2-public-static-const-type-info-ptr-rrk2-info)

self_cast#

Definition
const RRK2 & RRK2::self_cast(const Objet_U &)
Brief description
Detailed description
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:ref:`const RRK2 & RRK2::self_cast(const Objet_U &) <rrk2-public-static-const-rrk2-ref-rrk2-self-cast-const-objet-u-ref>`

[const RRK2 & RRK2::self_cast(const Objet_U &)](#rrk2-public-static-const-rrk2-ref-rrk2-self-cast-const-objet-u-ref)

self_cast#

Definition
RRK2 & RRK2::self_cast(Objet_U &)
Brief description
Detailed description
How to reference this method:

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:ref:`RRK2 & RRK2::self_cast(Objet_U &) <rrk2-public-static-rrk2-ref-rrk2-self-cast-objet-u-ref>`

[RRK2 & RRK2::self_cast(Objet_U &)](#rrk2-public-static-rrk2-ref-rrk2-self-cast-objet-u-ref)

printOn#

Definition
Sortie & RRK2::printOn(Sortie &x) const override
Brief description

Surcharge Objet_U::printOn(Sortie&) Imprime le schema en temps sur un flot de sortie.

Detailed description

!! Attention n’est pas symetrique de la lecture !! On ecrit les differents parametres du schema en temps.

Reimplements:

References
How to reference this method:

Copy the following pieces of RST/Markdown code to cite this element in other parts of the sphinx documentation (there is a copy button on the top-right when hovering the code block):

:ref:`Sortie & RRK2::printOn(Sortie &x) const override <rrk2-protected-sortie-ref-rrk2-printon-sortie-ref-x-const-override>`

[Sortie & RRK2::printOn(Sortie &x) const override](#rrk2-protected-sortie-ref-rrk2-printon-sortie-ref-x-const-override)

readOn#

Definition
Entree & RRK2::readOn(Entree &) override
Brief description

Lecture d’un schema en temps a partir d’un flot d’entree.

Detailed description

Le format de lecture attendu est le suivant: { [ Motcle valeur_reelle] } Les mots clefs peuvent etre: tinit, tmax, nb_pas_dt_max, dt_min, dt_max, dt_sauv, dt_impr, facsec, seuil_statio,

Reimplements:

References
How to reference this method:

Copy the following pieces of RST/Markdown code to cite this element in other parts of the sphinx documentation (there is a copy button on the top-right when hovering the code block):

:ref:`Entree & RRK2::readOn(Entree &) override <rrk2-protected-entree-ref-rrk2-readon-entree-ref-override>`

[Entree & RRK2::readOn(Entree &) override](#rrk2-protected-entree-ref-rrk2-readon-entree-ref-override)

Attributes Documentation#

info_obj (public)
const Type_info RRK2::info_obj
Contents