Results 211 to 220 of about 302,460 (378)

The One‐Dimensional Coulomb Hamiltonian: Properties of Its Birman–Schwinger Operator

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The objective of the present paper is to study in detail the properties of the Birman–Schwinger operator for a self‐adjoint realization of the one‐dimensional Hamiltonian with the Coulomb potential, both when the Hamiltonian is defined only on ℝ+$$ {\mathbb{R}}_{+} $$ and when it is defined on the whole real line.
S. Fassari   +4 more
wiley   +1 more source

A Stable Hybridized Discontinuous Galerkin Method for Solving Some Nonlinear m$$ m $$‐Component Reaction–Diffusion Systems

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we present a stable numerical scheme for solving two‐dimensional m$$ m $$‐component reaction–diffusion systems. The proposed approach utilizes the backward Euler method for temporal discretization and the hybridized discontinuous Galerkin (HDG) method for spatial discretization.
Shima Baharlouei   +2 more
wiley   +1 more source

Fundamental Solutions and Green's Functions for Certain Elliptic Differential Operators From a Pseudodifferential Algebra

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad   +1 more
wiley   +1 more source

Nodal sets for eigenfunctions of the Laplacian on surfaces [PDF]

open access: bronze, 1990
Harold Donnelly, Charles Fefferman
openalex   +1 more source

Normalized Laplacian spectrum of some subdivision-joins and R-joins of two regular graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2018
In this paper we determine the full normalized Laplacian spectrum of the subdivision-vertex join, subdivision-edge join, R-vertex join, and R-edge join of two regular graphs in terms of the normalized Laplacian eigenvalues of the graphs.
Arpita Das, Pratima Panigrahi
doaj  

Quantitative susceptibility mapping of the human carotid artery: Assessing sensitivity to elastin and collagen ex vivo

open access: yesMagnetic Resonance in Medicine, EarlyView.
Abstract Purpose The aim is to establish the relationship between carotid susceptibility and microstructural components in diseased carotid arteries. Methods Excised cadaveric carotid arteries (n = 5) were scanned using high‐resolution QSM at 7 Tesla. After ex vivo imaging, all samples were brought to histology and stained for elastin, collagen, cells,
Alan J. Stone   +4 more
wiley   +1 more source

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