2 citations · 2 across the 4 of their papers we have counts for
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An adaptive delaminating Levin method in two dimensions
Shukui Chen, Kirill Serkh, James Bremer +1
We present an adaptive delaminating Levin method for evaluating bivariate oscillatory integrals over rectangular domains. Whereas previous analyses of Levin methods impose non-reso…
An adaptive Levin method for complicated domains
Shukui Chen, Kirill Serkh, James Bremer
In this paper we describe an adaptive Levin method for numerically evaluating integrals of the form over general domains that have be…
An Adaptive Fast-Multipole-Accelerated Hybrid Boundary Integral Equation Method for Accurate Diffusion Curves
Seungbae Bang, Kirill Serkh, Oded Stein +1
In theory, diffusion curves promise complex color gradations for infinite-resolution vector graphics. In practice, existing realizations suffer from poor scaling, discretization ar…
On the Approximation of Singular Functions by Series of Non-integer Powers
Mohan Zhao, Kirill Serkh
In this paper, we describe an algorithm for approximating functions of the form over , where is some signed Radon measure, or, mor…
Phase function methods for second order inhomogeneous linear ordinary differential equations
Kirill Serkh, James Bremer
It is well known that second order homogeneous linear ordinary differential equations with slowly varying coefficients admit slowly varying phase functions. This observation underl…
Fast Computation of Electrostatic Potentials for Piecewise Constant Conductivities
Kyle Bower, Kirill Serkh, Spyros Alexakis +1
We present a novel numerical method for solving the elliptic partial differential equation problem for the electrostatic potential with piecewise constant conductivity. We employ a…