Results 71 to 80 of about 112,539 (200)
Parameter control of optical soliton in one‐dimensional photonic crystal
Mathematical Modelling and Analysis, 2010 The paper deals with finding of soliton solution for Schrödinger equation with periodic linear and nonlinear properties of medium in 1D case. Such structure is named as photonic crystal.
Vyacheslav A. Trofimov +3 more
doaj +1 more source
Ecological Entomology, Volume 51, Issue 2, Page 235-249, April 2026.Species co‐occurrences rely on their ability to explore similar or distinct available resources, and possible niche overlap can prevent their presence and establishment in a given site Damselflies of the Calopterygidae family demonstrated negative co‐occurrences in streams inside and outside PAs, highlighting that their ecological similarity is ...
Joás Silva Brito +13 more
wiley +1 more source
Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators
International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley +1 more source
Quantum Ergodicity for Point Scatterers on Arithmetic Tori
, 2014 We prove an analogue of Shnirelman, Zelditch and Colin de Verdiere's Quantum Ergodicity Theorems in a case where there is no underlying classical ergodicity. The system we consider is the Laplacian with a delta potential on the square torus.
Kurlberg, Par, Ueberschaer, Henrik
core +1 more source
First Principles Rovibronic Absorption Spectra of HF Molecule
Journal of Computational Chemistry, Volume 47, Issue 6, March 5, 2026.Hydrogen fluoride (HF) is astrophysically important, as it has been detected in sunspots, Venus, red giants, and the interstellar medium, serving as a probe of exoplanet atmospheres. This article presents an ab initio investigation of HF rovibronic spectroscopy, combining high‐level electronic‐structure data with nuclear‐motion solutions and refinement
Nariman Abu El Kher +5 more
wiley +1 more source
On the completeness of a pair of biorthogonally conjugated systems of functions
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 In this paper we studied the spectral problem for an ordinary second order differential equation on a finite interval with a discontinuous coefficient of the highest derivative. At the ends of the segment the boundary conditions of the first kind are given.
Alfira A Gimaltdinova, Ksenija V Kurman
doaj +1 more source
Eigenfunction expansions in ℝⁿ
Proceedings of the American Mathematical Society, 2011 The main goal of this paper is to extend in R n \mathbb {R}^n a result of Seeley on eigenfunction expansions of real analytic functions on compact manifolds. As a counterpart of an elliptic operator in a compact manifold, we consider in R n \mathbb {R}^n
T. Gramchev +2 more
openaire +4 more sources
Stochastic Duality and Eigenfunctions [PDF]
, 2019 We start from the observation that, anytime two Markov generators share an eigenvalue, the function constructed from the product of the two eigenfunctions associated to this common eigenvalue is a duality function. We push further this observation and provide a full characterization of duality relations in terms of spectral decompositions of the ...
Redig F., Sau F.
openaire +3 more sources
Mathematical Prediction for Geometry‐Mediated Cell 3D In‐Growth on Bone Tissue Engineering Scaffolds
Advanced Science, Volume 13, Issue 14, 9 March 2026.This study identifies a fundamental pore size dependent pattern of three dimensional bone marrow derived mesenchymal stem cell (BMSC) infiltration within porous scaffolds, where small pores promote horizontal cellular bridging and large pores facilitate vertical migration.
Xiang Gao +15 more
wiley +1 more source
Statistical mechanics of neocortical interactions: EEG eigenfunctions of short-term memory
, 1999 This paper focuses on how bottom-up neocortical models can be developed into eigenfunction expansions of probability distributions appropriate to describe short-term memory in the context of scalp EEG. The mathematics of eigenfunctions are similar to the
Ingber, Lester
core