numMethods/finiteDifferences.h File Reference

Macros to emit various finite differences (e.g., for approximating derivatives, or for the Keisser-Oliger term). More...

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Defines
#define	emitDerivative_r(f)
	emitDerivative_r is a macro that emits a method for the first derivative in r using the 2nd order central finite difference scheme.
#define	emitDerivative_rr(f)
	emitDerivative_rr is a macro that emits a method for the second derivative in r using the 2nd order central finite difference scheme.
#define	extrapolate_R(f, m, n)
	extrapolate_R is an optimized version of 4th order in accuracy extrapolation using the 4th order Taylor expansion.
#define	extrapolate_RGF(f, m, n)
#define	extrapolate_D(f, m, n)
	extrapolate_D is a linear extrapolation of the 4th order in accuracy (used for derivatives).
#define	extrapolate_DGF(f, m, n)
#define	KreissOligerTerm(f, dt)   ( - ( f(m,n-1) - 2* f(m,n) + f(m,n+1) ) * dissip_delta_r * (dt) )
	KreissOligerTerm is a macro that gives a Kreiss-Oliger dissipation term.
#define	KreissOligerTermGF(f, dt)   ( - ( GF(f,m,n-1) - 2* GF(f,m,n) + GF(f,m,n+1) ) * dissip_delta_r * (dt) )

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Detailed Description

Macros to emit various finite differences (e.g., for approximating derivatives, or for the Keisser-Oliger term).

Author:

Mikica Kocic

Copyright:

GNU General Public License (GPLv3).

Definition in file finiteDifferences.h.