Browsing Mathematics by Title
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Explicit integral Galois module structure of weakly ramified extensions of local fields
(American Mathematical Society, 2015)Let L/K be a finite Galois extension of complete local fields with finite residue fields and let G=Gal(L/K). Let G_1 and G_2 be the first and second ramification groups. Thus L/K is tamely ramified when G_1 is trivial and ... 
Explicit representation of subgrid heterogeneity in a GCM land surface scheme
(American Meteorological Society, 2003)A land surface scheme that may be run with or without a tiled representation of subgrid heterogeneity and includes an implicit atmospheric coupling scheme is described. Simulated average surface air temperatures and diurnal ... 
Exploring links between Arctic amplification and midlatitude weather
(American Geophysical Union, 2013)This study examines observed changes (1979–2011) in atmospheric planetarywave amplitude over northern midlatitudes, which have been proposed as a possible mechanism linking Arctic amplification and midlatitude weather ... 
Exponential integrators for a Markov chain model of the fast sodium channel of cardiomyocytes.
(Institute of Electrical and Electronics Engineers (IEEE), 2015)The modern Markov chain models of ionic channels in excitable membranes are numerically stiff. The popular numerical methods for these models require very small time steps to ensure stability. Our objective is to formulate ... 
Extremal Dependence Indices: improved verification measures for deterministic forecasts of rare binary events
(American Meteorological Society, 2011)Verifying forecasts of rare events is challenging, in part because traditional performance measures degenerate to trivial values as events become rarer. The extreme dependency score was proposed recently as a nondegenerating ... 
Extreme Sensitivity to Detuning for Globally Coupled Phase Oscillators
(American Physical Society, 2006)We discuss the sensitivity of a population of coupled oscillators to differences in their natural frequencies, i.e., to detuning. We argue that for three or more oscillators, one can get great sensitivity even if the ... 
Fast magnetoacoustic waves in curved coronal loops I. Trapped and leaky modes
(EDP Sciences, 2006)A study of vertically polarised fast magnetoacoustic waves in a curved coronal loop is presented. The loop is modeled as a semicircular magnetic slab in the zero plasmaβ limit. The governing equations for linear waves ... 
Fast magnetoacoustic waves in curved coronal loops: II. Tunneling modes
(EDP Sciences, 2006)Aims. Fast magnetoacoustic waves in curved coronal loops are investigated and the role of lateral leakage in wave damping, which includes the mechanism of wave tunneling, is explored. Methods. A coronal loop is modeled ... 
Fast simulation of phasechange processes in chalcogenide alloys using a Gillespietype cellular automata approach
(American Institute of Physics, 2008)A stochastic cellular automata simulator capable of spatiotemporal modeling of the crystallization and amorphization behavior of phasechange materials during the complex annealing cycles used in optical and electrical ... 
Finding periodic orbits in statedependent delay differential equations as roots of algebraic equations
(2012)In this paper we prove that periodic boundaryvalue problems (BVPs) for delay differential equations are locally equivalent to finitedimensional algebraic systems of equations. We rely only on regularity assumptions that ... 
First magnetic seismology of the CME reconnection outflow layer in the low corona with 2.5D MHD simulations of the KelvinHelmholtz instability
(American Geophysical Union (AGU), 2013)For conditions observed in the low corona, we perform 2.5D magnetohydrodynamic (MHD) simulations of the KelvinHelmholtz instability (KHI) at the surface of a coronal mass ejection (CME). We match the observed time ... 
First observation of a transverse vertical oscillation during the formation of a hot postflare loop
(EDP Sciences, 2012)Aims. We report and analyse the first observation of a transverse oscillation in a hot coronal loop with the Atmospheric Imaging Assembly (AIA) on the Solar Dynamics Observatory (SDO), following a linked coronalflare ... 
Fixedpoint free pairs of homomorphisms and nonabelian HopfGalois structure
(University at Albany, 2012)Given finite groups Γ and G of order n, regular embeddings from Γ to the holomorph of G yield HopfGalois structures on a Galois extension LK of fields with Galois group Γ. Here we consider regular embeddings that arise ... 
A framework for mimetic discretization of the rotating shallowwater equations on arbitrary polygonal grids
(Society for Industrial and Applied Mathematics, 2012)Accurate simulation of atmospheric flow in weather and climate prediction models requires the discretization of the governing equations to have a number of desirable properties. Although these properties can be achieved ... 
Franklin's argument proves an identity of Zagier
(Electronic Journal of Combinatorics, 2000)Recently Zagier proved a remarkable qseries identity. We show that this identity can also be proved by modifying Franklin's classical proof of Euler's pentagonal number theorem. 
From largescale loops to the sites of dense flaring loops: Preferential conditions for longperiod pulsations in solar flares
(American Astronomical Society / IOP Publishing, 2010)Longperiod quasiperiodic pulsations (QPPs) of solar flares are a class apart from shorter period events. By involving an external resonator, the mechanism they call upon differs from traditional QPP models, but has wider ... 
Front propagation in a phase field model with phasedependent heat absorption
(Elsevier, 2006)We present a model for the spatiotemporal behaviour of films exposed to radiative heating, where the film can change reversibly between amorphous (glassy) and crystalline states. Such phase change materials are used ... 
Generation and escape of local waves from the boundary of uncoupled cardiac tissue
(Biophysical Society, 2008)We aim to understand the formation of abnormal waves of activity from myocardial regions with diminished celltocell coupling. En route to this goal, we studied the behavior of a heterogeneous myocyte network in which a ... 
GLACE: the global land–atmosphere coupling experiment. Part I: overview
(American Meteorological Society, 2006)The Global Land–Atmosphere Coupling Experiment (GLACE) is a model intercomparison study focusing on a typically neglected yet critical element of numerical weather and climate modeling: land–atmosphere coupling strength, ... 
GLACE: the global land–atmosphere coupling experiment. Part II: analysis
(American Meteorological Society, 2006)The 12 weather and climate models participating in the Global Land–Atmosphere Coupling Experiment (GLACE) show both a wide variation in the strength of land–atmosphere coupling and some intriguing commonalities. In this ...