Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Nathan Albin"'
Publikováno v:
Communications on Applied Mathematics and Computation.
Fourier continuation is an approach used to create periodic extensions of non-periodic functions in order to obtain highly-accurate Fourier expansions. These methods have been used in PDE-solvers and have demonstrated high-order convergence and spect
Autor:
Nathan Albin, Bacim Alali
Publikováno v:
Journal of Peridynamics and Nonlocal Modeling. 2:317-335
Efficient and accurate spectral solvers for nonlocal models in any spatial dimension are presented. The approach we pursue is based on the Fourier multipliers of nonlocal Laplace operators introduced in a previous work. It is demonstrated that the Fo
Autor:
Bacim Alali, Nathan Albin
A characterization for the Fourier multipliers and eigenvalues of linear peridynamic operators is provided. The analysis is presented for state-based peridynamic operators for isotropic homogeneous media in any spatial dimension. We provide explicit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8d11a7a435202c91687d0fa29386743
Autor:
Nathan Albin, Bacim Alali
Publikováno v:
Applicable Analysis. 100:2526-2546
Fourier multiplier analysis is developed for nonlocal peridynamic-type Laplace operators, which are defined for scalar fields in $\mathbb{R}^n$. The Fourier multipliers are given through an integral representation. We show that the integral represent
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 511:127-138
We study the popular centrality measure known as effective conductance or in some circles as information centrality. This is an important notion of centrality for undirected networks, with many applications, e.g., for random walks, electrical resisto
Publikováno v:
Journal of Computational and Applied Mathematics. 307:307-318
The modulus of a family of walks quantifies the richness of the family by favoring many short walks over fewer longer ones. In this paper we investigate various families of walks in order to introduce new measures for quantifying network properties u
Autor:
Doina Caragea, Emily Alfs, Pietro Poggi-Corradini, Sankardas Roy, Nathan Albin, Dewan Chaulagain
Publikováno v:
ASONAM
The proliferation of Android applications has resulted in many malicious apps entering the market and causing significant damage. Robust techniques that determine if an app is malicious are greatly needed. We propose the use of network-based approach
The theory of $p$-modulus provides a general framework for quantifying the richness of a family of objects on a graph. When applied to the family of spanning trees, $p$-modulus has an interesting probabilistic interpretation. In particular, the $2$-m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::713b6e1080985b23bbaae9f37c90f34f
Autor:
Nathan Albin, Pietro Poggi-Corradini
Publikováno v:
The Journal of Analysis. 24:183-208
The notion of $p$-modulus of a family of objects on a graph is a measure of the richness of such families. We develop the notion of minimal subfamilies using the method of Lagrangian duality for $p$-modulus. We show that minimal subfamilies have at m
Publikováno v:
Medical Physics. 43:2649-2661
Purpose: Computational models of microwave ablation (MWA) are widely used during the design optimization of novel devices and are under consideration for patient-specific treatment planning. The objective of this study was to assess the sensitivity o