Title

A new family of regularized kernels for the harmonic oscillator

Document Type

Article

Publication Date

12-18-2016

Department

Department of Mathematical Sciences, Center for Data Sciences

Abstract

In this paper, a new two-parameter family of regularized kernels is introduced, suitable for applying high-order time stepping to N-body systems. These high-order kernels are derived by truncating a Taylor expansion of the non-regularized kernel about (r22), generating a sequence of increasingly more accurate kernels. This paper proves the validity of this two-parameter family of regularized kernels, constructs error estimates, and illustrates the benefits of using high-order kernels through numerical experiments.

Publication Title

Journal of Scientific Computing

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