Results 51 to 60 of about 60,539 (234)
Spin‐Split Edge States in Metal‐Supported Graphene Nanoislands Obtained by CVD
Advanced Materials, EarlyView.Combining STM measurements and ab‐initio calculations, we show that zig‐zag edges in graphene nanoislands grown on Ni(111) by CVD retrieve their spin‐polarized edge states after intercalation of a few monolayers of Au. ABSTRACT Spin‐split states localized on zigzag edges have been predicted for different free‐standing graphene nanostructures.
Michele Gastaldo +6 more
wiley +1 more source
Generalized solutions of nonlocal elliptic problems [PDF]
, 2014 An elliptic equation of order $2m$ with general nonlocal boundary-value conditions, in a plane bounded domain $G$ with piecewise smooth boundary, is considered. Generalized solutions belonging to the Sobolev space $W_2^m(G)$ are studied.
Gurevich, Pavel
core
Advanced Science, EarlyView.We introduce AutomataGPT, a generative pretrained transformer (GPT) trained on synthetic spatiotemporal data from 2D cellular automata to learn symbolic rules. Demonstrating strong performance on both forward and inverse tasks, AutomataGPT establishes a scalable, domain‐agnostic framework for interpretable modeling, paving the way for future ...
Jaime A. Berkovich +2 more
wiley +1 more source
AlgorithmsBoundary value problems for systems of integrodifferential equations appear in many branches of science and engineering. Accuracy in modeling complex processes requires the specification of nonlocal boundary conditions, including multipoint and integral ...
Efthimios Providas +2 more
doaj +1 more source
Mathematical Modelling and Analysis, 2014 In this paper the one- and two-dimensional pseudoparabolic equations with nonlocal boundary conditions are approximated by the Euler finite difference scheme.
Raimondas Čiegis, Natalija Tumanova
doaj +1 more source
Advanced Science, EarlyView.Photonic time crystals (PTCs) are systems in which electromagnetic parameters are modulated periodically in time, producing momentum bandgaps via temporal scattering rather than spatial Bragg processes. This review examines the theoretical frameworks, modeling, and computational tools for time‐varying media, and summarizes experimental demonstrations ...
Ranjan Kumar Patel +3 more
wiley +1 more source
Advanced Science, EarlyView.A one‐dimensional sp2‐carbon covalent organic framework with spatially segregated redox centers integrates a dual photosensitizing system and a cationic interface for synergistic photocatalysis. The material achieves exceptional palladium recovery (1749 mg g−1) and bisphenol A mineralization (0.1710 min−1) without sacrificial agents, demonstrating ...
Yi‐Ru Chen +9 more
wiley +1 more source
Linear ODE with nonlocal boundary conditions and Green’s functions for such problems
Lietuvos Matematikos Rinkinys, 2019 In this article we investigate a formula for the Green’s function for the n-order linear differential equation with n additional conditions. We use this formula for calculating the Green’s function for problems with nonlocal boundary conditions.
Svetlana Roman, Artūras Štikonas
doaj +1 more source
On ellipticity of operators with shear mappings
Современная математика: Фундаментальные направления, 2023 The nonlocal boundary value problems are considered, in which the main operator and the operators in the boundary conditions include the differential operators and twisting operators.
A. V. Boltachev
doaj +1 more source
Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions
, 2018 We present explicit formulas for solutions to nonhomogeneous boundary value problems involving any positive power of the Laplacian in the half-space. For non-integer powers the operator becomes nonlocal and this requires a suitable extension of Dirichlet-
Abatangelo, Nicola +4 more
core +1 more source