Results 291 to 300 of about 112,078 (333)

Improved Tumor Detection via Quantitative Microwave Breast Imaging Using Eigenfunction-Based Prior

IEEE Transactions on Computational Imaging, 2020
A multistage algorithm for quantitative microwave breast imaging is presented which utilizes the eigenfunction-based reconstruction of the complex-valued permittivity as prior information.
Nasim Abdollahi, I. Jeffrey, J. Lovetri
semanticscholar   +1 more source

Localisation of the first eigenfunction of a convex domain

Communications in Partial Differential Equations, 2019
We study the first Dirichlet eigenfunction of the Laplacian in a n-dimensional convex domain. For domains of a fixed inner radius, estimates of Chiti [1,2], imply that the ratio of the L 2-norm and -norm of the eigenfunction is minimised when the domain ...
Thomas Beck
semanticscholar   +1 more source

Convective Eigenvalue Problems for Convergence Enhancement of Eigenfunction Expansions in Convection–Diffusion Problems

, 2018
The present work considers the application of the generalized integral transform technique (GITT) in the solution of a class of linear or nonlinear convection–diffusion problems, by fully or partially incorporating the convective effects into the chosen ...
Renato Machado Cotta, C. Naveira-Cotta, D. Knupp   +2 more
semanticscholar   +1 more source

Eigenfunction structure and scaling of two interacting particles in the one-dimensional Anderson model

, 2016
The localization properties of eigenfunctions for two interacting particles in the one-dimensional Anderson model are studied for system sizes up to N = 5000 sites corresponding to a Hilbert space of dimension ≈107 using the Green function Arnoldi method.
K. Frahm
semanticscholar   +1 more source

Eigenfunction expansions of ultradifferentiable functions and ultradistributions in $$\mathbb R^n$$Rn

, 2015
We obtain a characterization of $${\mathcal S}^{\{M_p\}}_{\{M_p\}}(\mathbb R^n)$$S{Mp}{Mp}(Rn) and $$\mathcal {S}^{(M_p)}_{(M_p)}(\mathbb {R}^n)$$S(Mp)(Mp)(Rn), the general Gelfand–Shilov spaces of ultradifferentiable functions of Roumieu and Beurling ...
Đorđe Vučković, J. Vindas
semanticscholar   +1 more source

On Eigenfunctions of the Fourier Transform

Journal of Mathematical Sciences, 2018
A nontrivial example of an eigenfunction in the sense of the theory of distributions for the planar Fourier transform was described by the authors in their previous work. In this paper, a method for obtaining other eigenfunctions is proposed. Positive homogeneous distributions in ℝn of order −n/2 are considered, and it is shown that F(ω)|x|−n/2, |ω ...
Flavia Lanzara, Vladimir Maz'ya
openaire   +3 more sources

Spatial modeling in ecology: the flexibility of eigenfunction spatial analyses.

Ecology, 2006
Recently, analytical approaches based on the eigenfunctions of spatial configuration matrices have been proposed in order to consider explicitly spatial predictors.
D. Griffith, P. Peres‐Neto
semanticscholar   +1 more source

On special orthogonal eigenfunctions and eigenfunction expansions

International Journal of Mathematical Education in Science and Technology, 1996
We extend some earlier results while illustrating solution techniques commonly encountered by students in undergraduate and beginning graduate courses of mathematical analysis, differential equations, and engineering mathematics. Previously, Turan's inequality was established by using a technique known as the Prufer substitution.
openaire   +1 more source

Optimal Stopping and Early Exercise: An Eigenfunction Expansion Approach

Operational Research, 2013
This paper proposes a new approach to solve finite-horizon optimal stopping problems for a class of Markov processes that includes one-dimensional diffusions, birth--death processes, and jump diffusions and continuous-time Markov chains obtained by time ...
Lingfei Li, V. Linetsky
semanticscholar   +1 more source

Explicit solutions from eigenfunction symmetry of the Korteweg-de Vries equation.

Physical review. E, Statistical, nonlinear, and soft matter physics, 2012
In nonlinear science, it is very difficult to find exact interaction solutions among solitons and other kinds of complicated waves such as cnoidal waves and Painlevé waves.
Xiaorui Hu, S. Lou, Yong Chen
semanticscholar   +1 more source