Results 51 to 60 of about 112,931 (232)

Eigenfunctions on an infinite Schrödinger network

Open Mathematics
In this article, we show that there is a one-to-one correspondence between the eigenfunctions associated with the perturbed Laplacian operator Δq{\Delta }_{q} on a Schrödinger infinite network {X,t,q}\{X,t,q\} with weight function q(a)q\left(a) and the ...
Bajunaid Ibtesam, Venkataraman Madhu, Manivannan Varadha Raj   +2 more
doaj   +1 more source

Non-Hermitian Delocalization and Eigenfunctions

, 1998
Recent literature on delocalization in non-Hermitian systems has stressed criteria based on sensitivity of eigenvalues to boundary conditions and the existence of a non-zero current.
A. Zee, C. Mudry, D. R. Nelson, D. R. Nelson, David R. Nelson, E. Brezin, H. Safar, I. M. Obaidat, I. Ya. Goldsheid, J. Feinberg, K. B. Efetov, L.-W. Chen, N. Hatano, N. Hatano, N. Hatano, N. M. Shnerb, N. M. Shnerb, N. Shnerb, Naomichi Hatano, P. W. Brouwer, R. A. Janik, W. Jiang   +21 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

Transition function for the Toda chain model

, 2006
The method of Lambda-operators developed by S. Derkachov, G. Korchemsky, A. Manashov is applied to a derivation of eigenfunctions for the open Toda chain.
A. Gerasimov, A. Givental, A. V. Silantyev, E. K. Sklyanin, I. M. Gelfand, M. Gutzwiller, O. Babelon, R. Baxter, S. Derkachov, S. Kharchev, S. Kharchev, S. Kharchev, V. Pasquier, V. S. Vladimirov   +13 more
core   +3 more sources

Intraday Functional PCA Forecasting of Cryptocurrency Returns

Journal of Forecasting, EarlyView.
ABSTRACT We study the functional PCA (FPCA) forecasting method in application to functions of intraday returns on Bitcoin. We show that improved interval forecasts of future return functions are obtained when the conditional heteroscedasticity of return functions is taken into account.
Joann Jasiak, Cheng Zhong
wiley   +1 more source

Diffraction by Circular Pin: Wiener–Hopf Method

Mathematics
In this paper, the boundary value problem of wave diffraction on a semi-infinite circular pin is solved using the Wiener–Hopf method with compensation of eigenmodes.
Seil Sautbekov, Merey Sautbekova, Gulnara Bairova   +2 more
doaj   +1 more source

Biorthogonality condition for creeping motion in annular trenches

International Journal of Mathematics and Mathematical Sciences, 2000
The biorthogonality condition for Stokes flow in annular trenches bounded by horizontal parallel planes and concentric vertical cylinders is derived. This condition, is needed to compute the coefficients of the eigenfunction expansion solution of the ...
Suheil A. Khuri
doaj   +1 more source

New Drain Spacing Formulas Using the Variational Iteration Method

Irrigation and Drainage, EarlyView.
ABSTRACT In this study, the drain spacing is computed using the variational iteration method (VIM) to the linearized Boussinesq equation. By applying at most two iterations of the VIM method under three different initial condition scenarios, three equations for drain spacing calculation were derived. These equations predict values of drain spacing that
George Kargas, Leonidas Mindrinos, Paraskevi Londra   +2 more
wiley   +1 more source

On solvability of the initial-boundary value problems for a nonlocal hyperbolic equation with periodic boundary conditions

Қарағанды университетінің хабаршысы. Математика сериясы
In this paper, the solvability of initial-boundary value problems for a nonlocal analogue of a hyperbolic equation in a cylindrical domain is studied. The elliptic part of the considered equation involves a nonlocal Laplace operator, which is introduced
M.T. Baizhanova, B.Kh. Turmetov
doaj   +1 more source

Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part I

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source