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SIAMSC
2016
10 years 19 days ago
Fast Structured Direct Spectral Methods for Differential Equations with Variable Coefficients, I. The One-Dimensional Case
We study the rank structures of the matrices in Fourier- and Chebyshev-spectral methods for differential equations with variable coefficients in one dimension. We show analyticall...
Jie Shen, Yingwei Wang, Jianlin Xia
SIAMREV
2016
10 years 19 days ago
Approximating Spectral Densities of Large Matrices
In physics, it is sometimes desirable to compute the so-called Density Of States (DOS), also known as the spectral density, of a Hermitian (or symmetric) matrix A. The spectral den...
Lin Lin, Yousef Saad, Chao Yang
SIAMREV
2016
10 years 19 days ago
Geodesic Transport Barriers in Jupiter's Atmosphere: A Video-Based Analysis
Jupiter’s zonal jets and Great Red Spot are well known from still images. However, the planet’s atmosphere is highly unsteady, which suggests that the actual material transport...
Alireza Hadjighasem, George Haller
SIAMREV
2016
10 years 19 days ago
A Newton-Galerkin Method for Fluid Flow Exhibiting Uncertain Periodic Dynamics
The determination of stable limit-cycles plays an important role in quantifying the characteristics of dynamical systems. In practice, exact knowledge of model parameters is rarely...
Michael Schick, Vincent Heuveline, O. P. Le Ma&ici...