Results 71 to 80 of about 125,502 (226)

Raising and lowering operators, factorization and differential/difference operators of hypergeometric type

, 2004
Starting from Rodrigues formula we present a general construction of raising and lowering operators for orthogonal polynomials of continuous and discrete variable on uniform lattice.
Atakishiev N A, Atakishiev N M, Atakishiev N M, Atakishiyev N M, Bangerezako G, Bangerezako G, Koekoek R, Lorente M, Lorente M, Lorente M, Miguel Lorente, Miller W, Miller W, Nikiforov A F, Nikiforov A F, Smirnov Y F, Smirnov Y F, Smirnov Y F, Spiridonov V, Spiridonov V, Spiridonov V   +20 more
core   +1 more source

Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo, Delfina Gómez, Maria‐Eugenia Pérez‐Martínez   +2 more
wiley   +1 more source

The Cut-Cell Method for the Conjugate Heat Transfer Topology Optimization of Turbulent Flows Using the “Think Discrete–Do Continuous” Adjoint

Energies
This paper presents a topology optimization (TopO) method for conjugate heat transfer (CHT), with turbulent flows. Topological changes are controlled by an artificial material distribution field (design variables), defined at the cells of a background ...
Nikolaos Galanos, Evangelos M. Papoutsis-Kiachagias, Kyriakos C. Giannakoglou   +2 more
doaj   +1 more source

On Cayley Identity for Self-Adjoint Operators in Hilbert Spaces [PDF]

, 2011
We prove an analogue to the Cayley identity for an arbitrary self-adjoint operator in a Hilbert space. We also provide two new ways to characterize vectors belonging to the singular spectral subspace in terms of the analytic properties of the resolvent ...
Alexander V. Kiselev, N. Naboko, Serguei
core  

Pauli-Fierz model with Kato-class potentials and exponential decays

, 2010
Generalized Pauli-Fierz Hamiltonian with Kato-class potential $\KPF$ in nonrelativistic quantum electrodynamics is defined and studied by a path measure.
Cycon H. L., FUMIO HIROSHIMA, Gubinelli M., Gérard C., Lörinczi J., Simon B., Simon B., TAKERU HIDAKA   +7 more
core   +1 more source

The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos, Antonios Charalambopoulos   +1 more
wiley   +1 more source

Optimal Control Method of Parabolic Partial Differential Equations and Its Application to Heat Transfer Model in Continuous Cast Secondary Cooling Zone

Advances in Mathematical Physics, 2015
Our work is devoted to a class of optimal control problems of parabolic partial differential equations. Because of the partial differential equations constraints, it is rather difficult to solve the optimization problem. The gradient of the cost function
Yuan Wang, Xiaochuan Luo, Sai Li
doaj   +1 more source

On the boundary value problem for the loaded parabolic equations with irregular coefficients

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
In the paper we consider the generalized solvability of boundary value problem for the loaded parabolic equations with irregular coefficients. Theorem on unique solvability of the boundary value problem is proved.
M.T. Jenaliyev, A.S. Kassymbekova
doaj   +1 more source

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Determination of the Equivalent Consumption in Hybrid Electric Vehicles in the State-Constrained Case

Oil & Gas Science and Technology, 2016
In the optimization of power management of hybrid electric vehicles, the equivalent consumption factor is often used. This parameter represents a way of penalizing the use of power from the batteries, taking into account the fuel consumption that such ...
Pérez Laura V., De Angelo Cristian H., Pereyra Victor L.   +2 more
doaj   +1 more source