On accurate methods for field interpolation in particle mesh<br/><br/>calculations

Thursday, August 5, 2010 - 2:00pm - 2:30pm
Keller 3-180
Anita Mayo (Bernard M. Baruch College, CUNY)
In this talk we will present accurate two and three dimensional methods for
interpolating singular or smoothed force fields. The methods are meant to be
used in particle mesh or particle-particle particle-mesh calculations so that
the resulting schemes conserve momentum. The interpolation weights use a
discretization of the differential equation the interaction potential satisfies,
and the methods are most accurate when the force satisfies a homogeneous
elliptic differential equation or system of equations away from the sources.
We will show why the precise accuracy of the interpolation formulas depends
on the accuracy of certain corresponding quadrature formulas, and
give results of numerical experiments.
MSC Code: