PAC2013 - List of Authors (Al Marzouk, A.A.)

Paper	Title	Page
MOPBA14	Numerical Integrator for Coulomb Collisions	204
	A.A. Al Marzouk, B. Erdelyi Northern Illinois University, DeKalb, Illinois, USA
	The trajectories of protons interacting through Coulomb forces were computed using a numerical integrator based on Picard's iteration method. This is a variable order, adaptive integrator with dense output. We show different cases by varying some parameters such as the impact parameter, the relative velocity of the protons and the order of the differential algebraic (DA) vector. The accuracy of the trajectories was tested by changing the order of the DA vector while fixing the other parameters. The impact parameter between the protons and the velocity of the incident proton has the most impact on the trajectories. The maximum time step is determined by the radius of convergence of the expansions, while a fixed accuracy is attained by varying the order.

Paper

Title

Page

Numerical Integrator for Coulomb Collisions

204

A.A. Al Marzouk, B. Erdelyi
Northern Illinois University, DeKalb, Illinois, USA

The trajectories of protons interacting through Coulomb forces were computed using a numerical integrator based on Picard's iteration method. This is a variable order, adaptive integrator with dense output. We show different cases by varying some parameters such as the impact parameter, the relative velocity of the protons and the order of the differential algebraic (DA) vector. The accuracy of the trajectories was tested by changing the order of the DA vector while fixing the other parameters. The impact parameter between the protons and the velocity of the incident proton has the most impact on the trajectories. The maximum time step is determined by the radius of convergence of the expansions, while a fixed accuracy is attained by varying the order.