Linear ODE with nonlocal boundary conditions and Green’s functions for such problems
Lietuvos Matematikos Rinkinys, 2019 In this article we investigate a formula for the Green’s function for the n-order linear differential equation with n additional conditions. We use this formula for calculating the Green’s function for problems with nonlocal boundary conditions.
Svetlana Roman, Artūras Štikonas
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A Three-Step Iterative Scheme Based on Green's Function for the Solution of Boundary Value Problems
International Journal of Analysis and Applications, 2023 In this manuscript, we suggest a three-step iterative scheme for finding approximate numerical solutions to boundary value problems (BVPs) in a Banach space setting.
Junaid Ahmad +3 more
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Atom-light interactions in quasi-one-dimensional nanostructures: A Green's-function perspective [PDF]
, 2016 Based on a formalism that describes atom-light interactions in terms of the classical electromagnetic Green's function, we study the optical response of atoms and other quantum emitters coupled to one-dimensional photonic structures, such as cavities ...
A. Asenjo-Garcia +3 more
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Pointwise Estimates of Solutions for the Viscous Cahn-Hilliard Equation with Inertial Term
Journal of Function Spaces, 2020 In this paper, we study the pointwise estimates of solutions to the viscous Cahn-Hilliard equation with the inertial term in multidimensions. We use Green’s function method.
Nianying Li, Li Yin, Honglian You
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Green’s-function reaction dynamics: A particle-based approach for simulating biochemical networks in time and space [PDF]
Journal of Chemical Physics, 2005 We have developed a new numerical technique, called Green's-function reaction dynamics (GFRD), that makes it possible to simulate biochemical networks at the particle level and in both time and space.
Jeroen S. van Zon, Pieter Rein ten Wolde
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Green's function representations for seismic interferometry
, 2006 The term seismic interferometry refers to the principle of generating new seismic responses by crosscorrelating seismic observations at different receiver locations. The first version of this principle was derived by Claerbout (1968), who showed that the
K. Wapenaar, J. Fokkema
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Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper the question on unconditional basicity of the system of eigenfunctions of the involutive perturbed Sturm-Liouville operator is investigated.
A.A. Sarsenbi
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Self-consistent second-order Green's function perturbation theory for periodic systems. [PDF]
Journal of Chemical Physics, 2015 Despite recent advances, systematic quantitative treatment of the electron correlation problem in extended systems remains a formidable task. Systematically improvable Green's function methods capable of quantitatively describing weak and at least ...
A. Rusakov, D. Zgid
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Computer programs for temperature in fins and slab bodies with the method of Green's functions
Computer Applications in Engineering Education, 2004 AbstractHeat conduction in fins and slab bodies, a traditional undergraduate topic, is treated with the Green's function (GF) method. A variety of boundary conditions and heating conditions are included. Computer programs are described which are designed to improve student learning of the GF method. The programs are available from the author.
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Self-Consistent Green’s Function Approaches [PDF]
, 2016 We present the fundamental techniques and working equations of many-body Green’s function theory for calculating ground state properties and the spectral strength.
C. Barbieri, A. Carbone
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