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Articles 1 - 3 of 3
Full-Text Articles in Physical Sciences and Mathematics
Analytical Characterization Of Oscillon Energy And Lifetime, Marcelo Gleiser, David Sicilia
Analytical Characterization Of Oscillon Energy And Lifetime, Marcelo Gleiser, David Sicilia
Dartmouth Scholarship
We develop an analytical procedure to compute all relevant physical properties of scalar field oscillons in models with quartic polynomial potentials: energy, radius, frequency, core amplitude, and lifetime. We compare our predictions to numerical simulations of models with symmetric and asymmetric double-well potentials in three spatial dimensions, obtaining excellent agreement. We also explain why oscillons have not been seen to decay in two spatial dimensions.
Polynomial Extension Operators. Part I, Leszek Demkowicz, Jay Gopalakrishnan, Joachim Schöberl
Polynomial Extension Operators. Part I, Leszek Demkowicz, Jay Gopalakrishnan, Joachim Schöberl
Mathematics and Statistics Faculty Publications and Presentations
In this series of papers, we construct operators that extend certain given functions on the boundary of a tetrahedron into the interior of the tetrahedron, with continuity properties in appropriate Sobolev norms. These extensions are novel in that they have certain polynomial preservation properties important in the analysis of high order finite elements. This part of the series is devoted to introducing our new technique for constructing the extensions, and its application to the case of polynomial extensions from H½(∂K) into H¹(K), for any tetrahedron K.
Chinese Remainder Theorem And Its Applications, Jacquelyn Ha Lac
Chinese Remainder Theorem And Its Applications, Jacquelyn Ha Lac
Theses Digitization Project
No abstract provided.