SIAMSC
2016
8 years 7 months ago
2016
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...
SIAMREV
2016
8 years 7 months ago
2016
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...
SIAMREV
2016
8 years 7 months ago
2016
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...
SIAMREV
2016
8 years 7 months ago
2016
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...
SIAMNUM
2016
8 years 7 months ago
2016
SIAMNUM
2016
8 years 7 months ago
2016
This paper establishes a O(h 1 4 ) error estimate in the L∞ t (L1 x)-norm for the approximation of scalar conservation equations using an explicit continuous finite element tech...
SIAMNUM
2016
8 years 7 months ago
2016
A new higher order finite element method for elliptic partial differential equations on a stationary smooth surface Γ is introduced and analyzed. We assume that Γ is characteri...
SIAMNUM
2016
8 years 7 months ago
2016
We present and analyze a new damping approach called backward step control for the globalization of the convergence of Newton-type methods for the numerical solution of nonlinear r...
SIAMMA
2016
8 years 7 months ago
2016
The incompatibility operator arises in the modeling of elastic materials with dislocations and in the intrinsic approach to elasticity, where it is related to the Riemannian curvat...
SIAMMA
2016
8 years 7 months ago
2016
Inspired by numerical studies of the aggregation equation, we study the effect of regularization on nonlocal interaction energies. We consider energies defined via a repulsiveatt...