Academic literature on the topic 'Green''s function'

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Journal articles on the topic "Green''s function"

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HASSAN, Hassan Atef. "Sampling theorem by Green''s function \\ in a space ofvector-functions." TURKISH JOURNAL OF MATHEMATICS 41 (2017): 67–79. http://dx.doi.org/10.3906/mat-1505-73.

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Eschrig, M. "Theory of Andreev bound states in S-F-S junctions and S-F proximity devices." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2125 (2018): 20150149. http://dx.doi.org/10.1098/rsta.2015.0149.

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Andreev bound states are an expression of quantum coherence between particles and holes in hybrid structures composed of superconducting and non-superconducting metallic parts. Their spectrum carries important information on the nature of the pairing, and determines the current in Josephson devices. Here, I focus on Andreev bound states in systems involving superconductors and ferromagnets with strong spin-polarization. I provide a general framework for non-local Andreev phenomena in such structures in terms of coherence functions, and show how the latter link wave function and Green-function
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Chernyavskaya, N., and L. Shuster. "Estimates for Green′s Function of the Sturm-Liouville Operator." Journal of Differential Equations 111, no. 2 (1994): 410–20. http://dx.doi.org/10.1006/jdeq.1994.1088.

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Yang, Ming, and Wenjian Yu. "Accelerated Generation of Multi-Dielectric Green’s Function Table." Journal of Computer-Aided Design & Computer Graphics 33, no. 3 (2021): 333–39. http://dx.doi.org/10.3724/sp.j.1089.2021.18508.

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Kokotov, Alexey, and Kelvin Lagota. "Green Function and Self-adjoint Laplacians on Polyhedral Surfaces." Canadian Journal of Mathematics 72, no. 5 (2019): 1324–51. http://dx.doi.org/10.4153/s0008414x19000336.

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AbstractUsing Roelcke’s formula for the Green function, we explicitly construct a basis in the kernel of the adjoint Laplacian on a compact polyhedral surface$X$and compute the$S$-matrix of$X$at the zero value of the spectral parameter. We apply these results to study various self-adjoint extensions of a symmetric Laplacian on a compact polyhedral surface of genus two with a single conical point. It turns out that the behaviour of the$S$-matrix at the zero value of the spectral parameter is sensitive to the geometry of the polyhedron.
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Filipovic, Dragan, and Tatijana Dlabac. "Green’s function for the semi-infinite strip in terms of an improper integral." Serbian Journal of Electrical Engineering 17, no. 2 (2020): 235–46. http://dx.doi.org/10.2298/sjee2002235f.

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In this paper Green?s function for the semi-infinite strip (which is the two-dimensional Green?s function for a groove of infinite depth and length) is determined in the form of an improper integral, as opposed to the standard summation form. The integral itself, although rather complex, is found in a closed form. By using the derived Green?s function simple formulas are obtained for a single and two-wire line configurations inside the groove.
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Хома, М. В., В. Ю. Лазур, and М. І. Карбованець. "Green s function for quantum mechanic problem of two coulomb centres." Scientific Herald of Uzhhorod University.Series Physics 7 (December 31, 2000): 77–82. http://dx.doi.org/10.24144/2415-8038.2000.7.77-82.

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Gray, L. J., D. Ghosh, and T. Kaplan. "Evaluation of the anisotropic Green?s function in three dimensional elasticity." Computational Mechanics 17, no. 4 (1996): 255–61. http://dx.doi.org/10.1007/s004660050108.

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Capuzzi, F., and C. Mahaux. "Relationship between Feshbach′s and Green′s Function Theories of the Nucleon-Nucleus Mean Field." Annals of Physics 239, no. 1 (1995): 57–189. http://dx.doi.org/10.1006/aphy.1995.1031.

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Einstein-Matthews, Stanley M. "Boundary behaviour of extremal plurisubharmonic functions." Nagoya Mathematical Journal 138 (June 1995): 65–112. http://dx.doi.org/10.1017/s0027763000005195.

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In [Mo.l], S. Momm studied the boundary behaviour of extremal plurisubharmonic functions by using the pluricomplex Green function gΩ of a bounded convex domain Ω in Cn to exhaust the domain by a family of sublevel sets. Let Ω be a bounded convex domain in Cn containing the origin in its interior. The pluricomplex green function of Ω with a pole is defined by(1.1)
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Dissertations / Theses on the topic "Green''s function"

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Acar, R. Cuneyt. "Numerically Efficient Analysis And Design Of Conformal Printed Structures In Cylindrically Layered Media." Phd thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/3/12608841/index.pdf.

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The complete set of Green&rsquo<br>s functions for cylindrically layered media is presented. The formulations reported in the previously published work by Tokg&ouml<br>z (M.S.Thesis, 1997) are recalculated, the missing components are added and a solution to the problem when (rho equals rhop) is proposed. A hybrid method to calculate mutual coupling of electric or magnetic current elements on a cylindrically layered structure using MoM is proposed. For the calculation of MoM matrix entries, when (rho equals rhop) and fi is not close to fip, the closed-form Green&rsquo<br>s functions are employ
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Adanir, Suleyman. "Efficient Computation Of The Green&#039." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12612968/index.pdf.

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Numerical analysis of periodic structures in layered media is usually accomplished by using Method of Moments which requires the formation of the impedance matrix of the structure. The construction of this impedance matrix requires the evaluation of the periodic Green&rsquo<br>s function in layered media which is expressed as an infinite series in terms of the spectral domain Green&rsquo<br>s function. The slow converging nature of this series make these kinds of analysis computationally expensive. Although some papers have proposed methods to accelerate the computation of these series success
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Aryasomayajula, Naga Venkata Anilatmaja. "Bounds for Green's functions on hyperbolic Riemann surfaces of finite volume." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2013. http://dx.doi.org/10.18452/16828.

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Im Jahr 2006, in einem Papier in Compositio Titel "Bounds auf kanonische Green-Funktionen" J. Jorgenson und J. Kramer, haben optimale Schranken für den hyperbolischen und kanonischen Green-Funktionen auf einem kompakten hyperbolischen Riemannschen Fläche definiert abgeleitet. Diese Schätzungen wurden im Hinblick auf abgeleitete Invarianten aus hyperbolischen Geometrie der Riemannschen Fläche. Als Anwendung abgeleitet sie Schranken für die kanonische Green-Funktionen durch Abdeckungen und für Familien von Modulkurven. In dieser Arbeit erweitern wir ihre Methoden nichtkompakten hyperbolischen
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Giunti, Arianna [Verfasser], Felix [Gutachter] Otto, and Antoine [Gutachter] Gloria. "Green\'s function estimates for elliptic and parabolic operators: Applications to quantitative stochastic homogenization and invariance principles for degenerate random environments and interacting particle systems : Green\''s function estimates for elliptic and parabolic operators:Applications to quantitative stochastic homogenization andinvariance principles for degenerate random environments andinteracting particle systems / Arianna Giunti ; Gutachter: Felix Otto, Antoine Gloria." Leipzig : Universitätsbibliothek Leipzig, 2017. http://d-nb.info/1241064598/34.

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Giunti, Arianna. "Green\'s function estimates for elliptic and parabolic operators: Applications to quantitative stochastic homogenization and invariance principles for degenerate random environments and interacting particle systems." Doctoral thesis, Universitätsbibliothek Leipzig, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-225533.

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This thesis is divided into two parts: In the first one (Chapters 1 and 2), we deal with problems arising from quantitative homogenization of the random elliptic operator in divergence form $-\\nabla \\cdot a \\nabla$. In Chapter 1 we study existence and stochastic bounds for the Green function $G$ associated to $-\\nabla \\cdot a \\nabla$ in the case of systems. Without assuming any regularity on the coefficient field $a= a(x)$, we prove that for every (measurable) uniformly elliptic tensor field $a$ and for almost every point $y \\in \\mathbb^d$, there exists a unique Green\'s function centr
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Braga, Paulo Farias. "Desenvolvimento de antenas de microfita com aberturas nos patches condutores atrav?s do m?todo da segmenta??o." Universidade Federal do Rio Grande do Norte, 2005. http://repositorio.ufrn.br:8080/jspui/handle/123456789/15401.

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Made available in DSpace on 2014-12-17T14:55:58Z (GMT). No. of bitstreams: 1 PauloFB.pdf: 617080 bytes, checksum: 5f9c06266e137d13c8b810163ede788d (MD5) Previous issue date: 2005-08-25<br>Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior<br>Microstrip antennas are widely used in modern telecommunication systems. This is particularly due to the great variety of geometries and because they are easily built and integrated to other high frequency devices and circuits. This work presents a study of the properties of the microstrip antenna with an aperture impressed in the conducting pat
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Taddei, Fabio. "Spin-polarized transport in superconducting and ferromagnetic nanostructures." Thesis, Lancaster University, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.369499.

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Carrasco, Hugo Alexandre Sacristão. "Higher order boundary value problems on unbounded intervals." Doctoral thesis, Universidade de Évora, 2017. http://hdl.handle.net/10174/21093.

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The relative scarcity of results that guarantee the existence of solutions for BVP on unbounded domains, contrasts with the high applicability on real problems of differential equations defined on the half-line or on the whole real line. It is this gap the main reason that led to this work. The differential equations studied vary from second order to higher orders and they can be discontinuous on time. Different types of boundary conditions will be discussed herein, for example, Sturm- Liouville, homoclinic, Lidstone and functional conditions. The non-compactness of the time interval and the p
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KELNER, SYLVIE. "Etude de la propagation des ondes sismiques dans les milieux fissurés : atténuation, anisotropie et migration de fluide induite par un séisme." Université Joseph Fourier (Grenoble), 1997. http://www.theses.fr/1997GRE10284.

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La diffraction des ondes sismiques par des milieux fissures en deux dimensions (2d) est etudiee par une methode d'equations integrales aux frontieres ou les fonctions de green sont calculees par la methode des nombres d'ondes discrets (dwbiem : discrete wavenumber boundary integral equations method). Cette methode semi-analytique est particulierement bien adaptee aux problemes de la propagation des ondes sismiques dans un milieu homogene contenant des fissures vides ou remplies de fluide. Toutes les conversions d'ondes sont modelisees en appliquant la dwbiem. En premier lieu, nous avons etudie
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Junior, Alberto Torres Riera. "Efeitos termoelétricos em sistemas nanoscópicos." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-22092014-130537/.

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Efeitos termoelétricos descrevem o surgimento de campos elétricos em função de gradientes de temperatura e vice-versa. Neste trabalho investigamos as propriedades termoelétricas de materiais de baixa dimensionalidade e nanoestruturas através de cálculos de primeiros princípios das propriedades de transporte destes sistemas, usando o código TRANSAMPA, que é baseado em funções de Green fora do equilíbrio e do código SIESTA, baseado em teoria do funcional da densidade. Inicialmente estudamos nanofitas de grafeno e como estas são alteradas pela presença de impurezas substitucionais de Boro e Nitro
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Books on the topic "Green''s function"

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Green S Functions and Linear Differential Equations Chapman HallCRC Applied Mathematics Nonlinear Science. CRC Press, 2011.

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Kachelriess, Michael. Scattering processes. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0009.

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The unitarity of the S-matrix is used to derive the optical theorem. The connection between Green functions and scattering amplitudes given by the LSZ reduction formula is derived. The trace and the helicity method are developed and applied to the calculation of QED processes. The emission of soft photons and gravitons is discussed. In an appendix, the connection between S-matrix elements, Feynman amplitudes and decay rates or cross-sections is derived.
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Book chapters on the topic "Green''s function"

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Kudrnovský, J., I. Turek, V. Drchal, and M. Šob. "Self-Consistent Green′s Function Method for Random Surfaces and Interfaces." In Stability of Materials. Springer US, 1996. http://dx.doi.org/10.1007/978-1-4613-0385-5_17.

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Iagolnitzer, D. "Unitarity or Asymptotic Completeness Equations and Analytic Structure of the S Matrix and Green Functions." In Critical Phenomena. Birkhäuser Boston, 1985. http://dx.doi.org/10.1007/978-1-4899-6650-6_12.

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Bányai, L. "The s-Wave Coulomb-Green Function." In Microscopic Theory of Semiconductors. WORLD SCIENTIFIC, 1996. http://dx.doi.org/10.1142/9789812830487_0010.

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"S-matrix, Green Function, Feynman Diagrams." In A Brief Tour of Modern Quantum Mechanics. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814374231_0004.

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P. Dzyuba, Vladimir, and Roman Romashko. "Green’s Function Method for Electromagnetic and Acoustic Fields in Arbitrarily Inhomogeneous Media." In Perturbation Theory [Working Title]. IntechOpen, 2020. http://dx.doi.org/10.5772/intechopen.94852.

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An analytical method based on the Green\'s function for describing the electromagnetic field, scalar-vector and phase characteristics of the acoustic field in a stationary isotropic and arbitrarily inhomogeneous medium is proposed. The method uses, in the case of an electromagnetic field, the wave equation proposed by the author for the electric vector of the electromagnetic field, which is valid for dielectric and magnetic inhomogeneous media with conductivity. In the case of an acoustic field, the author uses the wave equation proposed by the author for the particle velocity vector and the well-known equation for acoustic pressure in an inhomogeneous stationary medium. The approach used allows one to reduce the problem of solving differential wave equations in an arbitrarily inhomogeneous medium to the problem of taking an integral.
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Buchbinder, Iosif L., and Ilya L. Shapiro. "The scattering matrix and the Green functions." In Introduction to Quantum Field Theory with Applications to Quantum Gravity. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198838319.003.0006.

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In this chapter, the book begins to develop a perturbative formalism to describe the interactions of quantized fields and, in particular, the interactions of particles in terms of their quantum fields. Quantum scattering requires the description of particle interactions and asymptotic states, which are introduced in detail. The n-point Green functions are defined. An essential part of the chapter is devoted to deriving the reduction of the S-matrix in terms of the Green functions. The compact description of these notions is achieved by introducing the generating functionals of Green functions and the S-matrix. The same constructions are also introduced for the spinor fields.
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Buchbinder, Iosif L., and Ilya L. Shapiro. "Perturbation theory." In Introduction to Quantum Field Theory with Applications to Quantum Gravity. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198838319.003.0008.

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This chapter provides a general description of perturbation theory in terms of Feynman diagrams. The general prescriptions of constructing Feynman diagrams in momentum space are given, including for an S-matrix. The connected Green functions and the corresponding generation functional are defined with full proofs. After introducing effective action, the chapter addresses loop expansion. The chapter ends with a discussion of Feynman diagrams in fermionic theory.
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Gangola, Saurabh, Pankaj Bhatt, Parul Chaudhary, Priyanka Khati, Narendra Kumar, and Anita Sharma. "Bioremediation of Industrial Waste Using Microbial Metabolic Diversity." In Advances in Environmental Engineering and Green Technologies. IGI Global, 2018. http://dx.doi.org/10.4018/978-1-5225-3126-5.ch001.

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Evolution is mainly driven by environmental stresses. Among all the living beings, microorganisms have elaborated a wide range of physiological responses to survive in different ecosystems. Variations in the environment allow microorganisms to acquire new gene(s) through different processes and to lose preexisting genes by the processes like mutation or deletion. Our environment is heavily contaminated by indiscriminate and wide spread use of polythene, paints, petroleum products, industrial dyes, toxic chemicals and pesticides etc. Indiscriminate use of these chemicals/polymers adversely affects the environment and ultimately human beings and other living systems. Microbial evolution/ adaptation is the key of formation of a fully functional catabolic pathway enabling them to use toxic compound(s) as a source of carbon and energy. Physical and chemical methods are applicable in a modified matrix or help in converting the pollutants from one phase to another but the microbial degradation process to detoxify the pollutants can be effectively used to overcome the pollution problem.
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Cooke, Charlotte. "Directors’ Functions and Duties in Insolvency Proceedings." In Company Directors: Duties, Liabilities, and Remedies. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198754398.003.0039.

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Since the 1844 Winding Up Act, winding-up proceedings have been a means of requiring directors to account for their management of the business of the company, investigating the causes of failure and enabling prosecutions to be brought, and claims made, against delinquent directors. These purposes underline the winding-up provisions that have been incorporated into the successive Companies Acts 1862–1985. The 1862 Act introduced a summary procedure, known as a misfeasance summons, for assessing damages against delinquent directors. Following the report of the Greene Committee, the 1929 Act, s 275 made persons, including directors, responsible for fraudulent trading personally liable without limit for the debts of the company and also liable to criminal prosecution.
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Payal, R. "Green Corrosion Inhibitors for Coatings." In Sustainable Corrosion Inhibitors. Materials Research Forum LLC, 2021. http://dx.doi.org/10.21741/9781644901496-7.

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Corrosion is emerging as a potential hazard which abolishes metals and their structures and hence become an imperative menace. It is an omnipotent and omnipresent process which is present in every environment, i.e., air, soil, water. Green chemistry is one of the notable branches of chemistry that focuses on the protection of environment and human well–being in an economically viable approach allowing dodging of toxins and reducing hazards due to corrosion. Green chemistry exploited well–known strategy namely green inhibitors to prevent, control or impede the growth of corrosion. Green inhibitors are eco–friendly, cost–effective, renewable natural products which are favourable over toxic synthetic corrosion inhibitors. Extracts of natural products contain natural products containing alkaloids, carboxylic acids, nicotine, polyphenols, quinine, terpenes, and other functional groups possessing elements like C, N, O, S, etc., prompting adsorption via forming a thin layer (coating) on the metallic surface to shield the surface and encumber corrosion. In the field of economical loop, this approach develops various potential applications in manufacturing areas other than ‘Trash to treasure’. Even though a bunch of experiments have been performed and several research articles have been in print, however, the area of green inhibitors is still demanding more investigation on this open issue. More and more interest in the area extended the research, consequentially to a large variety of tried molecules. Nevertheless, the most accepted protocols are classical and, therefore, are incompetent to completely portray the probable worth of inhibitors. Hence all above stated features should be the objective of the contemporary research so that productive analysis to emphasize the weak areas of the green inhibitors field and tackle the prospect research in the field that still requires validation.
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Conference papers on the topic "Green''s function"

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Vipiana, F., A. Polemi, S. Maci, and G. Vecchi. "A regularized multi-layered green’s function." In 2008 IEEE Antennas and Propagation Society International Symposium and USNC/URSI National Radio Science Meeting. IEEE, 2008. http://dx.doi.org/10.1109/aps.2008.4620015.

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Baumgartner, O., P. Schwaha, M. Karner, M. Nedjalkov, and S. Selberherr. "Coupling of non-equilibrium Green’s function and Wigner function approaches." In 2008 International Conference on Simulation of Semiconductor Processes and Devices (SISPAD 2008). IEEE, 2008. http://dx.doi.org/10.1109/sispad.2008.4648308.

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Hess, M., Chong Shik Park, and Ling Zhu. "Electromagnetic simulations of photocathode sources using green~s function methods." In The 33rd IEEE International Conference on Plasma Science, 2006. ICOPS 2006. IEEE Conference Record - Abstracts. IEEE, 2006. http://dx.doi.org/10.1109/plasma.2006.1707098.

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Schmielau, Tim, and Mauro F. Pereira. "Nonequilibrium Green’s function simulation of quantum cascade laser structures." In 2008 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD). IEEE, 2008. http://dx.doi.org/10.1109/nusod.2008.4668269.

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Schmielau, Tim, and Mauro F. Pereira. "Nonequilibrium Green’s function simulation of current flow through quantum cascade lasers." In 2008 International Workshop "THz Radiation: Basic Research and Applications" (TERA). IEEE, 2008. http://dx.doi.org/10.1109/tera.2008.4673832.

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Du, Yi, Chuan-qun Jiang, Wu-zhou Wei, and Wei Han. "The use of Green’s function in evaluating productivity of perorated horizontal well." In 2008 2nd International Symposium on Systems and Control in Aerospace and Astronautics (ISSCAA). IEEE, 2008. http://dx.doi.org/10.1109/isscaa.2008.4776211.

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Polemi, A., F. Vipiana, F. Mariottini, G. Vecchi, and S. Maci. "MoM-oriented array Green’s function for the analysis of large finite arrays." In 2008 IEEE Antennas and Propagation Society International Symposium and USNC/URSI National Radio Science Meeting. IEEE, 2008. http://dx.doi.org/10.1109/aps.2008.4619784.

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Manjula, G., and H. S. Mohan. "Improved Dynamic S-Box generation using Hash function for AES and its Performance Analysis." In 2018 Second International Conference on Green Computing and Internet of Things (ICGCIoT). IEEE, 2018. http://dx.doi.org/10.1109/icgciot.2018.8753074.

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Eng-Kee Chua and Xing-Chang Wei. "Closed-form evaluation of the integration of Green’s function for method of moments." In Exhibition. IEEE, 2008. http://dx.doi.org/10.1109/apemc.2008.4560024.

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Attiya, Ahmed M. "Green’s function of a point source above a periodically-defected-grounded dielectric slab." In 2008 National Radio Science conference (NRSC). IEEE, 2008. http://dx.doi.org/10.1109/nrsc.2008.4542307.

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Reports on the topic "Green''s function"

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Riley, M. E. Two-dimensional Green`s function Poisson solution appropriate for cylindrical-symmetry simulations. Office of Scientific and Technical Information (OSTI), 1998. http://dx.doi.org/10.2172/674827.

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Wiringa, R. B., J. Carlson, V. R. Pandharipande, and B. S. Pudliner. Variational and Green`s function Monte Carlo calculations of few-body nuclei. Office of Scientific and Technical Information (OSTI), 1995. http://dx.doi.org/10.2172/166456.

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Riley, M. E. Two-dimensional Green`s function Poisson solution appropriate for feature-scale microelectronics simulations. Office of Scientific and Technical Information (OSTI), 1998. http://dx.doi.org/10.2172/650153.

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A.A. Bingham, R.M. Ferrer, and A.M. ougouag. Nodal Green?s Function Method Singular Source Term and Burnable Poison Treatment in Hexagonal Geometry. Office of Scientific and Technical Information (OSTI), 2009. http://dx.doi.org/10.2172/983357.

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