82 citations · 926 across the 70 of their papers we have counts for
8 papers · 1 filter
ASKIT: Approximate Skeletonization Kernel-Independent Treecode in High Dimensions
William B. March, Bo Xiao, George Biros
We present a fast algorithm for kernel summation problems in high-dimensions. These problems appear in computational physics, numerical approximation, non-parametric statistics, an…
Far-Field Compression for Fast Kernel Summation Methods in High Dimensions
William B. March, George Biros
We consider fast kernel summations in high dimensions: given a large set of points in dimensions (with ) and a pair-potential function (the {\em kernel} function), we…
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…
FFT, FMM, or Multigrid? A comparative Study of State-Of-the-Art Poisson Solvers for Uniform and Nonuniform Grids in the Unit Cube
Amir Gholami, Dhairya Malhotra, Hari Sundar +1
In this work, we benchmark and discuss the performance of the scalable methods for the Poisson problem which are used widely in practice: the fast Fourier transform (FFT), the fast…
An inexact Newton-Krylov algorithm for constrained diffeomorphic image registration
Andreas Mang, George Biros
We propose numerical algorithms for solving large deformation diffeomorphic image registration problems. We formulate the nonrigid image registration problem as a problem of optima…
An inverse problem formulation for parameter estimation of a reaction diffusion model of low grade gliomas
Amir Gholami, Andreas Mang, George Biros
We present a numerical scheme for solving a parameter estimation problem for a model of low-grade glioma growth. Our goal is to estimate the spatial distribution of tumor concentra…
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…
Comparison of Multigrid Algorithms for High-order Continuous Finite Element Discretizations
Hari Sundar, Georg Stadler, George Biros
We present a comparison of different multigrid approaches for the solution of systems arising from high-order continuous finite element discretizations of elliptic partial differen…