sarkas.utilities.maths

Module of mathematical functions.

Functions

betamp(m, p, alpha, kappa)	Calculate the integral of the Yukawa Green's function using scipy.integrate.quad().
correlationfunction(At, Bt)	Calculate the correlation function between $\mathbf{A}(t)$ and $\mathbf{B}(t)$ using scipy.signal.correlate()
force_error_analytic_lcl(potential_type, ...)	Calculate the force error from its analytic formula.
force_error_analytic_pp(potential_type, ...)	Calculate the short-range part of the force error from the approximation formula given in [Dharuman et al., 2017].
force_error_approx_pm(kappa, p, h, alpha)	Calculates the PM part of the force error, $\mathrm{\Delta }{F}_{\mathrm{p}\mathrm{m}}$, for a given value of the PPPM parameters.
force_error_approx_pppm(potential)	Calculates the force error, $\mathrm{\Delta }{F}_{\mathrm{p}\mathrm{m}}$, for the PPPM algorithm using approximations given in [Dharuman et al., 2017].
yukawa_green_function(k, alpha, kappa)	Evaluate the Green's function of Coulomb/Yukawa potential.