A new family of regularized kernels for the harmonic oscillator
Department of Mathematical Sciences, Center for Data Sciences
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.
Journal of Scientific Computing
Ong, B. W.,
Quaife, B. D.
A new family of regularized kernels for the harmonic oscillator.
Journal of Scientific Computing,
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