Numerically Stable form of Green’s Function for a Free-Free Uniform Timoshenko Beam
Mathematics, 2022 Beam models are widely applied in civil engineering, transport, and industry because the beams are basic structural elements. When dealing with the high-order modes of beam in the context of applying the modal analysis method, the numerical instability ...
Traian Mazilu
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Constant-Sign Green’s Function of a Second-Order Perturbed Periodic Problem
Axioms, 2022 In this paper, we were interested in obtaining the exact expression and studying the regions of constant sign of Green’s function related to a second-order perturbed periodic problem coupled with integral boundary conditions at the extremes of the ...
Alberto Cabada +2 more
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A Reconstruction Procedure for Microwave Nondestructive Evaluation based on a Numerically Computed Green's Function [PDF]
, 2003 This paper describes a new microwave diagnostic tool for nondestructive evaluation. The approach, developed in the spatial domain, is based on the numerical computation of the inhomogeneous Green’s function in order to fully exploit all the available a ...
Caorsi, Salvatore +4 more
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Computation of Green's function by local variational quantum compilation
Physical Review Research, 2023 Computation of the Green's function is crucial to study the properties of quantum many-body systems such as strongly correlated systems. Although the high-precision calculation of the Green's function is a notoriously challenging task on classical ...
Shota Kanasugi +5 more
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Propagating the Kadanoff-Baym equations for atoms and molecules [PDF]
, 2006 While the use of Green’s function techniques has a long tradition in quantum chemistry, the possibility of propagating the Kadanoff-Baym equations has remained largely unexplored. We have implemented the time-propagation for atoms and diatomic molecules,
Dahlen, Nils Erik +2 more
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A Robust Approach for the Derivation of Closed-form Green's Functions [PDF]
, 1995 Cataloged from PDF version of article.Spatial-domain Green’s functions for multilayer, planar geometries are cast into closed forms with two-level approximation of the spectral-domain representation of the Green’s functions.
Aksun, M. I.
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Calculating the Green’s function of two-site fermionic Hubbard model in a photonic system
New Journal of Physics, 2022 The Green’s function has been an indispensable tool to study many-body systems that remain one of the biggest challenges in modern quantum physics for decades. The complicated calculation of the Green’s function impedes the research of many-body systems.
Jie Zhu +4 more
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A Body-Nonlinear Green's Function Method with Viscous Dissipation Effects for Large-Amplitude Roll of Floating Bodies [PDF]
, 2018 A novel time-domain body-nonlinear Green’s function method is developed for evaluating large-amplitude roll damping of two-dimensional floating bodies with consideration of viscous dissipation effects.
Guo, Z., Ma, Q., Qin, H., Yu, S.
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One-particle many-body Green's function theory: Algebraic recursive definitions, linked-diagram theorem, irreducible-diagram theorem, and general-order algorithms [PDF]
, 2017 A thorough analytical and numerical characterization of the whole perturbation series of one-particle many-body Green’s function (MBGF) theory is presented in a pedagogical manner.
Doran, Alexander E. +3 more
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Nonlinear Analysis, 2019 The existence of maximal and minimal positive solutions for singular infinite-point p-Laplacian fractional differential equation is investigated in this paper. Green's function is derived, and some properties of Green's function are obtained.
Limin Guo, Lishan Liu
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