#include <Einzel-FIGL-Loeser.hpp>
Public Member Functions | |
IntegralGleichung (int ord=0) | |
IntegralGleichung (KFkt, interval, interval, ReFkt, interval, int) | |
void | Einschliessung_berechnen () |
void | Loesungsansatz (vector< itaylor > &, itaylor &, int &) |
void | Loesung_bilden (vector< itaylor > &, itaylor &, int &) |
void | Export (string dest, string fname, string varname="IGL_Lsg") |
void | Export_Plot (string dest, string fname, int steps, string varname="IGL_Lsg", string plottitle="SolutionEnclosure") |
Getters | |
Getters (Read only access functions). | |
dim2taylor | getKern () |
itaylor | getRS () |
itaylor | getILGS_Lsg () |
itaylor | getLsg () |
interval | getS () |
interval | getT () |
interval | getRS_S () |
Private Types | |
typedef dim2taylor(* | KFkt )(dim2taylor_vector &) |
typedef itaylor(* | ReFkt )(itaylor &) |
Private Attributes | |
KFkt | KernFkt |
ReFkt | RechtsFkt |
itaylor | ILGS_Lsg |
itaylor | Lsg |
int | ord |
ivector | MonomInt_a |
ivector | MonomInt_b |
ivector | Restkern |
Kernel Taylor coefficients | |
dim2taylor | Kpoint |
dim2taylor | Kint |
dim2taylor | Kern |
Right hand side Taylor coefficients | |
itaylor | RSpoint |
itaylor | RSint |
itaylor | RS |
Domains and domain midpoints | |
interval | S |
interval | T |
interval | RS_S |
interval | Smid |
interval | Tmid |
interval | RS_Smid |
Friends | |
ostream & | operator<< (ostream &, IntegralGleichung &) |
itaylor | Iteration (IntegralOperatorRG &, itaylor &, int ord, interval S, ivector &, ivector &, int &err) |
Not included: Indirectly associated functions (iteration functions, etc.)
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Typedef for kernel function pointer. |
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Typedef for right hand side function pointer. |
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Constructor for class IntegralGleichung
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Constructor for class IntegralGleichung
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Main solution method containing method/subroutine calls for all parts of the integral equation solution method. (No parameters: All necessary data is stored in the class's attributes) |
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Export solution function in destination system's source code.
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Export solution function and interval plot in destination system's source code.
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Part IV of the solution algorithm: Compute the solution from the linear system solution.
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Part II/III of the solution algorithm: Compute the elements of the linear system and solve the system (the latter with the appropriate external function).
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Part I: Iteration function: Carries out the fixed point iteration y_0=g; y_{i+1}=IntOp(y_i) for an integral operator IntOp
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Output operator for class IntegralGleichung objects
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Linear system solution. |
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Kernel function pointer. |
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Integral equation solution. |
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Integrals of monomials. |
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Integrals of monomials. |
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Taylor order. |
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Right hand side function pointer. |
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Remainder of kernel Taylor expansion |
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