Results 41 to 50 of about 73,015 (248)

Eigenfunction rules

, 2021
من المعروف جيدًا أن الوظائف الذاتية يجب أن تكون مستمرة في كل نقطة فضاء من الهيكل الذي يتم توطينها فيه. هذه ليست القاعدة الوحيدة التي يتعين عليهم الوفاء بها. تُستخدم القواعد التي تنطوي على مشتقات الوظيفة الذاتية أيضًا بكميات كبيرة وعلى حدود جميع الأنظمة المادية. الهدف من هذا القسم هو محاولة الوصول إلى صياغة عامة لقواعد الوظيفة الذاتية.
L. Dobrzyński, Housni Al Wahsh, Abdellatif Akjouj, El Houssaine El Boudouti   +3 more
openaire   +1 more source

Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation

Advanced Physics Research, EarlyView.
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley   +1 more source

Research and determination of the 1st and 2nd derivatives of the component terms of the dispersion equation for a flat two-layer one-dimensional periodic photonic crystal

Вісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електроніка
Actuality. Recent decades have seen a rapid development of photonics. Therefore, scientific interest in the optical range of electromagnetic radiation continues to be relevant.
О.V. Kazanko, О.E. Penkina, V.M. Butenko, O.V. Holovko   +3 more
doaj   +1 more source

Periodic boudary-value problem for Hill's equation in the case of parametric resonance [PDF]

Компьютерные исследования и моделирование, 2014
Necessary and sufficient conditions for the existence of solutions of nonlinear nonautonomous periodic problem for Hills equation in the case of parametric resonance.
Petr Viktorovich Kulish, Olga Vladimirovna Starkova, Sergey Mikhaylovich Chujko   +2 more
doaj   +1 more source

Regional Shopping Objectives in British Grocery Retail Transactions Using Segmented Topic Models

Applied Stochastic Models in Business and Industry, EarlyView.
ABSTRACT Understanding the customer behaviours behind transactional data has high commercial value in the grocery retail industry. Customers generate millions of transactions every day, choosing and buying products to satisfy specific shopping needs.
Mariflor Vega Carrasco, Mirco Musolesi, Jason O'Sullivan, Rosie Prior, Ioanna Manolopoulou   +4 more
wiley   +1 more source

Modeling of turbulent fluid flow based on the solution of the Mathieu equation

Вестник Дагестанского государственного технического университета: Технические науки
Objective. This work examines the problem of fluid flow simulation in a turbulent regime. The main reasons why turbulent flow occurs are due to the existence of high velocities of movement in fluids; besides that, there may be obstacles or changes in the
V. V. Garbuzov, A. P. Preobrazhensky
doaj   +1 more source

Statistics of delay times in mesoscopic systems as a manifestation of eigenfunction fluctuations

, 2005
We reveal a general explicit relation between the statistics of delay times in one-channel reflection from a mesoscopic sample of any spatial dimension and the statistics of the eigenfunction intensities in its closed counterpart.
A. Ossipov, Alexander Ossipov, B. L. Altshuler, C. W. J. Beenakker, F. Haake, H.-J. Stöckmann, H.-J. Stökmann, I. E. Smolyarenko, K. B. Efetov, K. B. Efetov, K. B. Efetov, M. Bauer, M. Janssen, V. E. Kravtsov, V. I. Falko, V. I. Falko, V. L. Lyuboshitz, V. L. Lyuboshitz, V. L. Lyuboshitz, V. N. Prigodin, Y. V. Fyodorov, Y. V. Fyodorov, Y. V. Fyodorov, Yan V. Fyodorov   +23 more
core   +1 more source

Advanced control of non‐isothermal axial dispersion tubular reactors with recycle‐induced state delay

The Canadian Journal of Chemical Engineering, EarlyView.
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

Spectral Analysis of One Class of Positive-Definite Operators and Their Application in Fractional Calculus

Mathematics, 2023
This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary-value problems for differential equations of fractional order.
Tatiana Matseevich, Temirkhan Aleroev
doaj   +1 more source

The Shape of the Level Sets of the First Eigenfunction of a Class of Two Dimensional Schr\"odinger Operators [PDF]

, 2014
We study the first Dirichlet eigenfunction of a class of Schr\"odinger operators with a convex potential V on a domain $\Omega$. We find two length scales $L_1$ and $L_2$, and an orientation of the domain $\Omega$, which determine the shape of the level ...
Beck, Thomas
core