78 citations · 734 across the 47 of their papers we have counts for
5 papers · 1 filter
A high-order finite difference WENO scheme for ideal magnetohydrodynamics on curvilinear meshes
Andrew J. Christlieb, Xiao Feng, Yan Jiang +1
A high-order finite difference numerical scheme is developed for the ideal magnetohydrodynamic equations based on an alternative flux formulation of the weighted essentially non-os…
Competition and Complexity in Amphiphilic Polymer Morphology
Andrew Christlieb, Noa Kraitzman, Keith Promislow
We analyze the competitive evolution of codimension one and two morphologies within the gradient flow of the strong Functionalized Cahn-Hilliard equation. On a slow time s…
Kernel Based High Order "Explicit" Unconditionally-Stable Scheme for Nonlinear Degenerate Advection-Diffusion Equations
Andrew Christlieb, Wei Guo, Yan Jiang
In this paper, we present a novel numerical scheme for solving a class of nonlinear degenerate parabolic equations with non-smooth solutions. The proposed method relies on a specia…
A New Class of Fully Discrete Sparse Fourier Transforms: Faster Stable Implementations with Guarantees
Sami Merhi, Ruochuan Zhang, Mark A. Iwen +1
In this paper we consider Sparse Fourier Transform (SFT) algorithms for approximately computing the best -term approximation of the Discrete Fourier Transform (DFT) $\mathbf{\ha…
Energy transfer in compressible magnetohydrodynamic turbulence
Philipp Grete, Brian W. O'Shea, Kris Beckwith +2
Magnetic fields, compressibility and turbulence are important factors in many terrestrial and astrophysical processes. While energy dynamics, i.e. how energy is transferred within…