45 citations · 173 across the 28 of their papers we have counts for
4 papers · 1 filter
High-order adaptive time stepping for vesicle suspensions with viscosity contrast
Bryan Quaife, George Biros
We construct a high-order adaptive time stepping scheme for vesicle suspensions with viscosity contrast. The high-order accuracy is achieved using a spectral deferred correction (S…
Integral equation methods for the Yukawa-Beltrami equation on the sphere
Nilima Nigam, Mary-Catherine Kropinski, Bryan Quaife
An integral equation method for solving the Yukawa-Beltrami equation on a multiply-connected sub-manifold of the unit sphere is presented. A fundamental solution for the Yukawa-Bel…
A New Family of Regularized Kernels for the Harmonic Oscillator
Benjamin Ong, Andrew Christlieb, Bryan Quaife
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 deriv…
Adaptive Time Stepping for Vesicle Suspensions
Bryan Quaife, George Biros
We present an adaptive arbitrary-order accurate time-stepping numerical scheme for the flow of vesicles suspended in Stokesian fluids. Our scheme can be summarized as an approximat…