14 citations · 25 across the 7 of their papers we have counts for
8 papers
Solving the Klein-Gordon equation using Fourier spectral methods: A benchmark test for computer performance
S. Aseeri, O. Batrašev, M. Icardi +12
The cubic Klein-Gordon equation is a simple but non-trivial partial differential equation whose numerical solution has the main building blocks required for the solution of many ot…
Petascale elliptic solvers for anisotropic PDEs on GPU clusters
Eike Hermann Müller, Robert Scheichl, Eero Vainikko
Memory bound applications such as solvers for large sparse systems of equations remain a challenge for GPUs. Fast solvers should be based on numerically efficient algorithms and im…
Reduced temporal convergence rates in high-order splitting schemes
M. T. Warnez, B. K. Muite
Recently-derived high-order splitting schemes with complex coefficients are shown to exhibit reduced convergence rates for certain parabolic evolution equations. When applied to se…
Performance of FORTRAN and C GPU Extensions for a Benchmark Suite of Fourier Pseudospectral Algorithms
B. Cloutier, B. K. Muite, P. Rigge
A comparison of PGI OpenACC, FORTRAN CUDA, and Nvidia CUDA pseudospectral methods on a single GPU and GCC FORTRAN on single and multiple CPU cores is reported. The GPU implementati…
On the modified nonlinear Schrödinger equation in the semiclassical limit: supersonic, subsonic, and transsonic behavior
Jeffery C. DiFranco, Peter D. Miller, Benson K. Muite
The purpose of this paper is to present a comparison between the modified nonlinear Schrödinger (MNLS) equation and the focusing and defocusing variants of the (unmodified) nonline…
Origin of stabilization of macrotwin boundaries in martensites
O. U. Salman, B. K. Muite, A. Finel
The origin of stabilization of complex microstructures along macrotwin boundaries in martensites is explained by comparing two models based on Ginzburg-Landau theory. The first mod…