296 citations · 1.4k across the 65 of their papers we have counts for
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An Efficient Algorithm for Classical Density Functional Theory in Three Dimensions: Ionic Solutions
Matthew G. Knepley, Dmitry A. Karpeev, Seth Davidovits +2
Classical density functional theory (DFT) of fluids is a valuable tool to analyze inhomogeneous fluids. However, few numerical solution algorithms for three-dimensional systems exi…
PetRBF--A parallel O(N) algorithm for radial basis function interpolation
Rio Yokota, L. A. Barba, Matthew G. Knepley
We have developed a parallel algorithm for radial basis function (RBF) interpolation that exhibits O(N) complexity,requires O(N) storage, and scales excellently up to a thousand pr…
Mesh Algorithms for PDE with Sieve I: Mesh Distribution
Matthew G. Knepley, Dmitry A. Karpeev
We have developed a new programming framework, called Sieve, to support parallel numerical PDE algorithms operating over distributed meshes. We have also developed a reference impl…
PetFMM--A dynamically load-balancing parallel fast multipole library
Felipe A. Cruz, Matthew G. Knepley, L. A. Barba
Fast algorithms for the computation of -body problems can be broadly classified into mesh-based interpolation methods, and hierarchical or multiresolution methods. To this last…