Results 111 to 120 of about 5,785 (299)

Solvability of fractional analogues of the Neumann problem for a nonhomogeneous biharmonic equation

Electronic Journal of Differential Equations, 2015
In this article we study the solvability of some boundary value problems for inhomogenous biharmobic equations. As a boundary operator we consider the differentiation operator of fractional order in the Miller-Ross sense.
Batirkhan Kh. Turmetov
doaj  

A Power‐Efficient Monte Carlo Framework for Nonlinear Light–Matter Interactions: In Silico Modeling of Spontaneous and Stimulated Raman Scattering in Turbid Media

Journal of Raman Spectroscopy, EarlyView.
Power‐efficient Monte Carlo modeling of nonlinear light–matter interactions in turbid media is demonstrated using Apple Silicon–accelerated photon transport. The Metal‐base framework enables accurate simulation of spontaneous and stimulated Raman scattering, revealing detection‐dependent SRS efficiency while providing a scalable, energy‐efficient ...
Ilya Vladyko, Vladislav Yakovlev, Alexander Doronin   +2 more
wiley   +1 more source

A Signed Maximum Principle for Boundary Value Problems for Riemann–Liouville Fractional Differential Equations with Analogues of Neumann or Periodic Boundary Conditions

Mathematics
Sufficient conditions are obtained for a signed maximum principle for boundary value problems for Riemann–Liouville fractional differential equations with analogues of Neumann or periodic boundary conditions in neighborhoods of simple eigenvalues.
Paul W. Eloe, Yulong Li, Jeffrey T. Neugebauer   +2 more
doaj   +1 more source

Analysis and numerical solution of a non-standard non-linear integro-differential boundary value problem

, 2011
The aim of this thesis is the analytical study and the development of a numerical method to solve a non-linear, integro-differential boundary value problem on the half line which is representative of a class of non-standard integral equations where the ...
Basile, Mariateresa
core  

Efficient First‐Principles Inverse Design of Nanolasers

Laser &Photonics Reviews, EarlyView.
This article introduces a first‐principles inverse‐design framework for nanolasers that directly incorporates nonlinear lasing physics. By unifying steady‐state ab‐initio laser theory (SALT) with topology optimization, it reveals how spatial hole burning, gain saturation, and cavity‐emitter coupling shape laser performance, enabling efficient discovery
Beñat Martinez de Aguirre Jokisch, Alexander Cerjan, Rasmus Ellebæk Christiansen, Jesper Mørk, Ole Sigmund, Steven G. Johnson   +5 more
wiley   +1 more source

Analysis of some localized boundary-domain integral equations

, 2009
Some direct segregated localized boundary-domain integral equation (LBDIE) systems associated with the Dirichlet and Neumann boundary value problems (BVP) for a scalar "Laplace" PDE with variable coefficient are formulated and analysed. The parametrix is
Mikhailov, SE, Natroshvili, D, Chkadua, O   +2 more
core  

Black Phosphorus/Ferroelectric CuInP2S6 Heterostructures Empowering Nonvolatile Photonic Convolutional Computing

Laser &Photonics Reviews, EarlyView.
ABSTRACT The growing demands of artificial intelligence require new energy‐efficient and nonvolatile computing paradigms. To meet this challenge, we demonstrate a foundational device platform for optical fiber computing that targets the signal decay and power consumption bottlenecks of conventional systems.
Yule Zhang, Huide Wang, Bowen Du, Yi Liu, Ziqian Wang, Wenkai Wang, Yihan Zhu, Changle Meng, Honghai Zhu, Lizhuo Zhou, Yujie Zhou, Zhongjian Xie, Lingfeng Gao, Guoqing Liu, Yong Liu, Yanqi Ge, Zhi Chen, Songrui Wei, Han Zhang   +18 more
wiley   +1 more source

The Laguerre spectral method for solving Neumann boundary value problems

Journal of Computational and Applied Mathematics, 2011
The author proposes a Laguerre spectral method for solving Neumann boundary value problems. This approach differs from the classical spectral method in that the homogeneous boundary condition is satisfied exactly. Moreover, a tridiagonal matrix is employed, instead of the full stiffness matrix encountered in the classical variational formulation of ...
openaire   +1 more source

Uniqueness for Neumann Problems for Nonlinear Elliptic Equations With Lower Order Terms

Mathematische Nachrichten, EarlyView.
ABSTRACT In this paper, we prove uniqueness results for weak solutions to a class of Neumann problems, whose prototype is λ(1+u2)(p−2)/2u−div((1+|∇u|2)(p−2)/2∇u)−div(c(x)(1+|u|2)(τ+1)/2)+b(x)(1+|∇u|2)(σ+1)/2=finΩ(1+|∇u|2)(p−2)/2∇u+c(x)(1+|u|2)(τ+1)/2)·n̲=0on∂Ω,$$\begin{equation*} {\begin{cases} {}\lambda {(1+ u^2)}^{(p-2)/2}u-{\operatorname{div}}({(1+|\
Maria Francesca Betta, Olivier Guibé, Anna Mercaldo, Maria Rosaria Posteraro   +3 more
wiley   +1 more source

Recovering a part of potential by partial information on spectra of boundary problems [PDF]

Opuscula Mathematica, 2005
Under additional conditions uniqueness of the solution is proved for the following problem. Given 1) the spectrum of the Dirichlet problem for the Sturm-Liouville equation on \([0,a]\) with real potential \(q(x)\in L_2(0,a)\), 2) a certain part of the ...
Vyacheslav Pivovarchik
doaj