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25 papers · 1 filter
Threefold onset of vortex loops in superconductors with a magnetic core
Mauro M. Doria, Antonio R. de C. Romaguera, M. V. Milošević +1
A magnetic inclusion inside a superconductor gives rise to a fascinating complex of {\it vortex loops}. Our calculations, done in the framework of the Ginzburg-Landau theory, revea…
Numerical quadratures for near-singular and near-hypersingular integrals in boundary element methods
Michael Carley
A method of deriving quadrature rules has been developed which gives nodes and weights for a Gaussian-type rule which integrates functions of the form: f(x,y,t) = a(x,y,t)/((x-t)^2…
Evaluation of Biot-Savart integrals on tetrahedral meshes
Michael Carley
An arithmetically simple method has been developed for the evaluation of Biot--Savart integrals on tetrahedralized distributions of vorticity. In place of the usual approach of ana…
Laws of large numbers in stochastic geometry with statistical applications
Mathew D. Penrose
Given independent random marked -vectors (points) distributed with a common density, define the measure , where is a measure (not necessarily a po…
Standard Cosmological Evolution in a Wide Range of f(R) Models
Jonathan D. Evans, Lisa M. H. Hall, Philippe Caillol
Using techniques from singular perturbation theory, we explicitly calculate the cosmological evolution in a class of modified gravity models. By considering the (m)CDTT model, whic…
Numerical obstructions to abelian surfaces in toric Fano 4-folds
G. K. Sankaran
Some of the 124 toric Fano 4-folds contain abelian surfaces but most do not: in a few cases it is not known whether they do or not. By elementary methods, with a little computer he…