Solution of a discontinuous inverse nodal problem on a finite interval
The inverse nodal problem is studied for the boundary value problem: \[ -y''+(q(x)+l(l+1)x^{-2})y=\lambda y,\; x\in[1,a],\tag{B} \] \(y'(1)=y'(a)+Hy(a)=0,\) where \(a>1,\, l\geq 0,\,q\in L(1,a)\). The potential \(p(x):=q(x)+l(l+1)x^{-2}\) is integrable on \([1,a]\), i.e. (B) is a classical Sturm-Liouville problem.
Hikmet Koyunbakan, Etibar S. Panakhov
openaire +1 more source
Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections
The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley +1 more source
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley +1 more source
Using the Bees Algorithm with the Boundary Elements Method to Solve the Inverse Problem of Transient Heat Conduction [PDF]
: In this paper, a new population-based search called the Bees Algorithm (BA) is presented to estimate the time-dependent heat transfer coefficient and the corresponding heat flux at the boundaries of a two-dimensional body subjected to transient heat ...
Mohsen Ardakani, Seyd Mohammad MizanAdl
doaj
On inverse nodal problem for Sturm-Liouville operator [PDF]
In this paper we propose a solution to a certain inverse Sturm-Liouville problem, which allows one to determine the potential and the boundary conditions of the differential operator on the values of one of the differentials of Gateaux zeroes x k,n (q ) ∈ (0, ) of some eigenfunction ^ y (x, q, n (q )) for an increment w from the set W.
openaire +1 more source
Homophily‐adjusted social influence estimation
Abstract Homophily and social influence are two key concepts of social network analysis. Distinguishing between these phenomena is difficult, and approaches to disambiguate the two have been primarily limited to longitudinal data analyses. In this study, we provide sufficient conditions for valid estimation of social influence through cross‐sectional ...
Hanh T.D. Pham, Daniel K. Sewell
wiley +1 more source
Inverse nodal problem for nonlocal differential operators
Inverse nodal problem consists in constructing operators from the given zeros of their eigenfunctions. The problem of differential operators with nonlocal boundary condition appears, e.g., in scattering theory, diffusion processes and the other applicable fields.
Xin-Jian Xu, Chuan-Fu Yang
openaire +1 more source
Quenching the Hubbard Model: Comparison of Nonequilibrium Green's Function Methods
ABSTRACT We benchmark nonequilibrium Green's function (NEGF) approaches for interaction quenches in the half‐filled Fermi–Hubbard model in one and two dimensions. We compare fully self‐consistent two‐time Kadanoff–Baym equations (KBE), the generalized Kadanoff–Baym ansatz (GKBA), and the recently developed NEGF‐based quantum fluctuations approach (NEGF‐
Jan‐Philip Joost +3 more
wiley +1 more source
Optimal PMU Placement Method for Active Distribution Networks Considering Wideband Oscillation Modal Energy Weighting [PDF]
[Objective] To address the sub-synchronous wideband oscillation problem caused by the high penetration of grid-forming distributed energy resources in active distribution networks, traditional phasor measurement unit (PMU) placement methods based on pure
HUANG Xianda, WANG Lei, JIANG Weijian
doaj +1 more source

