Are regrouped here the objects needed to solve systems of equations, like the Term_eq, the various operators, types of equations... More...

Classes
class	Kadath::Ope_eq
	Abstract class that describes the various operators that can appear in the equations. More...

class	Kadath::Ope_id
	The operator identity. More...

class	Kadath::Ope_pow
	The operator power-law. More...

class	Kadath::Ope_minus
	The operator minus. More...

class	Kadath::Ope_add
	The operator addition. More...

class	Kadath::Ope_sub
	The operator substraction. More...

class	Kadath::Ope_mult
	The operator Multiplication. More...

class	Kadath::Ope_div
	The operator Division. More...

class	Kadath::Ope_lap
	The operator Laplacian 3D. More...

class	Kadath::Ope_dtime
	The operator time derivative. More...

class	Kadath::Ope_ddtime
	Second time derivative Computes the second time derivative. More...

class	Kadath::Ope_lap2
	The operator Laplacian 2D. More...

class	Kadath::Ope_dn
	The operator normal derivative Computes the derivative in the direction normal to a given boundary. More...

class	Kadath::Ope_grad
	The operator flat gradient Intended for systems where no metric has been defined. More...

class	Kadath::Ope_scal
	The operator flat scalar product Intended for systems where no metric has been defined. More...

class	Kadath::Ope_der
	The operator covariant derivative. More...

class	Kadath::Ope_der_flat
	The operator covariant derivative with respect to the flat metric. More...

class	Kadath::Ope_der_background
	The operator covariant derivative with respect to the background metric. More...

class	Kadath::Ope_int
	The operator surface integral. More...

class	Kadath::Ope_int_volume
	The operator volume integral (in a given `Domain`) More...

class	Kadath::Ope_def
	The operator definition. More...

class	Kadath::Ope_mult_r
	The operator multiplication by . More...

class	Kadath::Ope_mult_x
	The operator multiplication by (what it means depend on the `Space` considered). More...

class	Kadath::Ope_srdr
	The operator multiplication by $\frac{1}{r} \partial_r$ . More...

class	Kadath::Ope_ddr
	The operator second radial derivative. More...

class	Kadath::Ope_dr
	The operator first radial derivative. More...

class	Kadath::Ope_ddp
	The operator second derivative wrt $\varphi$ . More...

class	Kadath::Ope_dt
	The operator first derivative wrt $\theta$ . More...

class	Kadath::Ope_ddt
	The operator second derivative wrt $\theta$ . More...

class	Kadath::Ope_div_r
	The operator division by . More...

class	Kadath::Ope_mult_rsint
	The operator multiplication by $r\sin\theta$ . More...

class	Kadath::Ope_div_cost
	The operator division by $r\cos\theta$ . More...

class	Kadath::Ope_div_xpone
	The operator division by . More...

class	Kadath::Ope_div_1mx2
	The operator division by . More...

class	Kadath::Ope_div_1mrsL
	The operator division by (for AADS spacetimes). More...

class	Kadath::Ope_mult_1mrsL
	The operator multiplication by (for AADS spacetimes). More...

class	Kadath::Ope_mult_sint
	The operator multiplication by $\sin\theta$ . More...

class	Kadath::Ope_div_sint
	The operator division by $\sin\theta$ . More...

class	Kadath::Ope_partial
	The operator partial derivative. More...

class	Kadath::Ope_determinant
	The operator determinant. More...

class	Kadath::Ope_inverse
	The operator inverse (of a `Metric_tensor` ; i.e. More...

class	Kadath::Ope_inverse_nodet
	The operator inverse (of a `Metric_tensor` ; i.e. More...

class	Kadath::Ope_partial_var
	The operator partial derivative wrt one variable (same thing as Ope_partial ??) More...

class	Kadath::Ope_mode
	This operator gives the value of one coefficient of a field, on a given boundary. More...

class	Kadath::Ope_val_mode
	This operator gives the value of one coefficient of a field. More...

class	Kadath::Ope_val
	This operator gives the value of a field at a given collocation point. More...

class	Kadath::Ope_point
	This operator gives the value of a field at a point (arbitrary not necesseraly a collocation one) More...

class	Kadath::Ope_val_ori
	This operator gives the value of a field at the origin. More...

class	Kadath::Ope_sqrt
	Operator square-root (only defined for a scalar field or a double) More...

class	Kadath::Ope_sqrt_anti
	Operator square-root (only defined for a scalar field or a double). More...

class	Kadath::Ope_sqrt_nonstd
	Operator square-root (only defined for a scalar field or a double). More...

class	Kadath::Ope_exp
	Operator exponential (only defined for a scalar field or a double) More...

class	Kadath::Ope_log
	Operator logarithm (only defined for a scalar field or a double) More...

class	Kadath::Ope_cosh
	Operator hyperbolic cosine (only defined for a scalar field or a double) More...

class	Kadath::Ope_sinh
	Operator hyperbolic sine (only defined for a scalar field or a double) More...

class	Kadath::Ope_atanh
	Operator inverse hyperbolic tangent (only defined for a scalar field or a double) More...

class	Kadath::Ope_cos
	Operator cosine (only defined for a scalar field or a double) More...

class	Kadath::Ope_sin
	Operator sine (only defined for a scalar field or a double) More...

class	Kadath::Ope_fit_waves
	Operator that fits a field to outgoing waves (highly specialized stuff) More...

class	Kadath::Ope_user
	Operator defined by the user in the `System_of_eqs` This version is intended to work with one argument. More...

class	Kadath::Ope_user_bin
	Operator defined by the user in the `System_of_eqs` This version is intended to work with two arguments. More...

class	Kadath::Ope_import
	Operator importing the values of a field from a neighborig `Domain`. More...

class	Kadath::Ope_change_basis
	Operator changin the tensorial basis of a field. More...

class	Kadath::Ope_def_global
	Operator for a global definition (i.e. More...

class	Kadath::Ope_conjug
	Complex conjugate (only changes the m_quant parameter so far). More...

class	Kadath::System_of_eqs
	Class used to describe and solve a system of equations. More...

class	Kadath::Equation
	Class implementing an equation. More...

class	Kadath::Eq_inside
	Class for bulk equations that are solved stricly inside a given domain. More...

class	Kadath::Eq_vel_pot
	Class for the velocity potential in irrotational binray neutron stars. More...

class	Kadath::Eq_bc_exception
	Class for enforcing boundary condition. More...

class	Kadath::Eq_order
	Class for bulk equation which order is passed as a parameter. More...

class	Kadath::Eq_bc
	Class for an equation representing a boundary condition on some surface. More...

class	Kadath::Eq_matching
	Class for an equation representing the matching of quantities accross a boundary. More...

class	Kadath::Eq_matching_one_side
	Class for an equation representing the matching of quantities accross a boundary. More...

class	Kadath::Eq_matching_non_std
	Class for an equation representing the matching of quantities accross a boundary. More...

class	Kadath::Eq_matching_import
	Class for an equation representing the matching of quantities accross a boundary using the "import" reserved word. More...

class	Kadath::Eq_int
	Class implementing an integral equation. More...

class	Kadath::Eq_full
	Class for a zeroth order equation in a `Domain`. More...

class	Kadath::Eq_one_side
	Class for a first order equation in a `Domain`. More...

class	Kadath::Eq_order_array
	Class for an equation in a `Domain` which order is passed, for each variable. More...

class	Kadath::Eq_bc_order_array
	Class for a boundary condition. More...

class	Kadath::Eq_matching_order_array
	Class for a matching condition. More...

class	Kadath::Eq_matching_exception
	Equation for a matching condition, except for one coefficient where an alternative condition is enforced (highly specialized usage). More...

class	Kadath::Eq_first_integral
	Equation for describing a first integral equation (i.e. More...

class	Kadath::Term_eq
	This class is intended to describe the manage objects appearing in the equations. More...

Detailed Description

Are regrouped here the objects needed to solve systems of equations, like the Term_eq, the various operators, types of equations...

Classes

Detailed Description