A new family of regularized kernels for the harmonic oscillator

Authors

Benjamin W. Ong, Michigan Technological UniversityFollow
Andrew Christlieb, Michigan State University
Bryan D. Quaife, Florida State University

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 (r²+ϵ²), 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

Recommended Citation

Ong, B. W., Christlieb, A., & Quaife, B. D. (2016). A new family of regularized kernels for the harmonic oscillator. Journal of Scientific Computing, 71(3), 1212-1237. http://doi.org/10.1007/s10915-016-0336-0
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/1000