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6 papers · 2 filters
A fast semi-direct least squares algorithm for hierarchically block separable matrices
Kenneth L. Ho, Leslie Greengard
We present a fast algorithm for linear least squares problems governed by hierarchically block separable (HBS) matrices. Such matrices are generally dense but data-sparse and can d…
Low Mach Number Fluctuating Hydrodynamics of Diffusively Mixing Fluids
A. Donev, A. J. Nonaka, Y. Sun +3
We formulate low Mach number fluctuating hydrodynamic equations appropriate for modeling diffusive mixing in isothermal mixtures of fluids with different density and transport coef…
Variational time discretization of geodesic calculus
Martin Rumpf, Benedikt Wirth
We analyze a variational time discretization of geodesic calculus on finite- and certain classes of infinite-dimensional Riemannian manifolds. We investigate the fundamental proper…
Quadrature by Expansion: A New Method for the Evaluation of Layer Potentials
Andreas Klöckner, Alexander Barnett, Leslie Greengard +1
Integral equation methods for the solution of partial differential equations, when coupled with suitable fast algorithms, yield geometrically flexible, asymptotically optimal and w…
Inner product quadratures
Yu Chen
We introduce a n-term quadrature to integrate inner products of n functions, as opposed to a Gaussian quadrature to integrate 2n functions. We will characterize and provide computa…
How long does it take to compute the eigenvalues of a random symmetric matrix?
Christian W. Pfrang, Percy Deift, Govind Menon
We present the results of an empirical study of the performance of the QR algorithm (with and without shifts) and the Toda algorithm on random symmetric matrices. The random matric…