Results 71 to 80 of about 15,892 (238)
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
A Hybrid Semi‐Inverse Variational and Machine Learning Approach for the Schrödinger Equation
Advanced Physics Research, Volume 5, Issue 6, June 2026.A hybrid semi‐inverse variational and machine‐learning framework is presented for solving the Schrödinger equation with complex quantum potentials. Physics‐based variational solutions generate high‐quality training data, enabling Random Forest and Neural Network models to deliver near‐perfect energy predictions.
Khalid Reggab +5 more
wiley +1 more source
Gradient Estimates on Dirichlet and Neumann Eigenfunctions [PDF]
, 2020 peer reviewedBy methods of stochastic analysis on Riemannian manifolds, we derive explicit two-sided gradient estimates for Dirichlet eigenfunctions on a d-dimensional compact Riemannian manifold D with boundary.
Arnaudon, Marc +2 more
core +1 more source
Eigenfunctions and nodal sets [PDF]
Surveys in Differential Geometry, 2013 60 pages, 5 figures lifted from the web.
openaire +2 more sources
The Canadian Journal of Chemical Engineering, Volume 104, Issue 6, Page 3018-3037, June 2026.Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley +1 more source
Tables of Heine Eigenfunctions I [PDF]
Heine functions are the solutions of the Heine differential equations, which have two forms, algebraic and Jacobian. The boundary conditions that the functions and their derivatives are bounded at the ends of interval give eigenvalues and eigenfunctions.
Aikawa, Kosaku, Miyoshi, Osamu
core +1 more source
Engineering Reports, Volume 8, Issue 6, June 2026.Graphical abstract of the (q,τ)$$ \left(q,\tau \right) $$‐deformed kernel framework for quantum‐inspired learning and biomedical signal analysis ABSTRACT This paper introduces a weighted (q,τ)$$ \left(q,\tau \right) $$‐deformed Gram matrix framework for quantum‐inspired learning systems, with particular emphasis on applications in biomedical signal ...
Rabha W. Ibrahim +2 more
wiley +1 more source
Tables of Heine Eigenfunctions II [PDF]
Heine functions are the solutions of the Heine differential equations, which have two forms, algebraic and Jacobian. The boundary conditions that the functions and their derivatives are bounded at the ends of interval give eigenvalues and eigenfunctions.
Aikawa, Kosaku, Miyoshi, Osamu
core +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
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source