10 citations · 17 across the 8 of their papers we have counts for
3 papers · 1 filter
Superconvergent Non-Polynomial Approximations
Andrew Christlieb, William Sands, Hyoseon Yang
In this paper, we introduce a superconvergent approximation method that employs radial basis functions (RBFs) in the numerical solution of conservation laws. The use of RBFs for in…
Parallel Algorithms for Successive Convolution
Andrew J. Christlieb, Pierson T. Guthrey, William A. Sands +1
In this work, we consider alternative discretizations for PDEs which use expansions involving integral operators to approximate spatial derivatives. These constructions use explici…
A Kernel-Based Explicit Unconditionally Stable Scheme for Hamilton-Jacobi Equations on Nonuniform Meshes
Andrew Christlieb, William Sands, Hyoseon Yang
In \cite{christlieb2019kernel}, the authors developed a class of high-order numerical schemes for the Hamilton-Jacobi (H-J) equations, which are unconditionally stable, yet take th…