Relevant bibliographies by topics / Poisson equation

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Poisson equation'

Author: Grafiati
Published: 4 June 2021
Last updated: 10 May 2025

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Journal articles on the topic "Poisson equation"

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Daribayev, Beimbet, Aksultan Mukhanbet, and Timur Imankulov. "Implementation of the HHL Algorithm for Solving the Poisson Equation on Quantum Simulators." Applied Sciences 13, no. 20 (October 20, 2023): 11491. http://dx.doi.org/10.3390/app132011491.

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The Poisson equation is a fundamental equation of mathematical physics that describes the potential distribution in static fields. Solving the Poisson equation on a grid is computationally intensive and can be challenging for large grids. In recent years, quantum computing has emerged as a potential approach to solving the Poisson equation more efficiently. This article uses quantum algorithms, particularly the Harrow–Hassidim–Lloyd (HHL) algorithm, to solve the 2D Poisson equation. This algorithm can solve systems of equations faster than classical algorithms when the matrix A is sparse. The main idea is to use a quantum algorithm to transform the state vector encoding the solution of a system of equations into a superposition of states corresponding to the significant components of this solution. This superposition is measured to obtain the solution of the system of equations. The article also presents the materials and methods used to solve the Poisson equation using the HHL algorithm and provides a quantum circuit diagram. The results demonstrate the low error rate of the quantum algorithm when solving the Poisson equation.
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Alqhtani, Manal, Khaled M. Saad, Rasool Shah, Wajaree Weera, and Waleed M. Hamanah. "Analysis of the Fractional-Order Local Poisson Equation in Fractal Porous Media." Symmetry 14, no. 7 (June 27, 2022): 1323. http://dx.doi.org/10.3390/sym14071323.

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This paper investigates the fractional local Poisson equation using the homotopy perturbation transformation method. The Poisson equation discusses the potential area due to a provided charge with the possibility of area identified, and one can then determine the electrostatic or gravitational area in the fractal domain. Elliptic partial differential equations are frequently used in the modeling of electromagnetic mechanisms. The Poisson equation is investigated in this work in the context of a fractional local derivative. To deal with the fractional local Poisson equation, some illustrative problems are discussed. The solution shows the well-organized and straightforward nature of the homotopy perturbation transformation method to handle partial differential equations having fractional derivatives in the presence of a fractional local derivative. The solutions obtained by the defined methods reveal that the proposed system is simple to apply, and the computational cost is very reliable. The result of the fractional local Poisson equation yields attractive outcomes, and the Poisson equation with a fractional local derivative yields improved physical consequences.
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Fortunato, Daniel, and Alex Townsend. "Fast Poisson solvers for spectral methods." IMA Journal of Numerical Analysis 40, no. 3 (November 29, 2019): 1994–2018. http://dx.doi.org/10.1093/imanum/drz034.

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Abstract Poisson’s equation is the canonical elliptic partial differential equation. While there exist fast Poisson solvers for finite difference (FD) and finite element methods, fast Poisson solvers for spectral methods have remained elusive. Here we derive spectral methods for solving Poisson’s equation on a square, cylinder, solid sphere and cube that have optimal complexity (up to polylogarithmic terms) in terms of the degrees of freedom used to represent the solution. Whereas FFT-based fast Poisson solvers exploit structured eigenvectors of FD matrices, our solver exploits a separated spectra property that holds for our carefully designed spectral discretizations. Without parallelization we can solve Poisson’s equation on a square with 100 million degrees of freedom in under 2 min on a standard laptop.
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EL-HANBALY, A. M., and A. ELGARAYHI. "Exact solutions of the collisional Vlasov equation." Journal of Plasma Physics 59, no. 1 (January 1998): 169–77. http://dx.doi.org/10.1017/s0022377897006132.

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The symmetry group of the Vlasov–Fokker–Planck equation (VFPE) is constructed. The effects of the Poisson equation on this group is studied, and different types of similarity solutions of the whole system of equations (VFPE+Poisson equation) are obtained.
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Yuan, Hong Fen, and Valery V. Karachik. "DUNKL-POISSON EQUATION AND RELATED EQUATIONS IN SUPERSPACE." Mathematical Modelling and Analysis 20, no. 6 (November 23, 2015): 768–81. http://dx.doi.org/10.3846/13926292.2015.1112856.

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Abstract In this paper, we investigate the Almansi expansion for solutions of Dunkl-polyharmonic equations by the 0-normalized system for the Dunkl-Laplace operator in superspace. Moreover, applying the 0-normalized system, we construct solutions to the Dunkl-Helmholtz equation, the Dunkl-Poisson equation, and the inhomogeneous Dunkl-polyharmonic equation in superspace.
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Schmidt, Gunther, and Hartmut Strese. "BEM for poisson equation." Engineering Analysis with Boundary Elements 10, no. 2 (1992): 119–23. http://dx.doi.org/10.1016/0955-7997(92)90040-e.

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Vedenyapin, V. V., T. V. Salnikova, and S. Ya Stepanov. "Vlasov-Poisson-Poisson equations, critical mass and kordylewski clouds." Доклады Академии наук 485, no. 3 (May 21, 2019): 276–80. http://dx.doi.org/10.31857/s0869-56524853276-280.

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A derivation of the Vlasov-Poisson-Poisson equation is proposed for studying stationary solutions of a system of gravitating charged particles in vicinity of triangular libration points (Kordylevsky cloud). Stationary solutions are sought as functions of integrals, which leads to elliptic nonlinear equations for the potentials of the gravitational and electrostatic fields. This gives a critical mass: for bodies with large masses dominates gravitation forces, and for bodies with smaller masses - electrostatic forces.
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Gharib, Gharib M., and Rania Saadeh. "Reduction of the Self-dual Yang-Mills Equations to Sinh-Poisson Equation and Exact Solutions." WSEAS TRANSACTIONS ON MATHEMATICS 20 (October 26, 2021): 540–46. http://dx.doi.org/10.37394/23206.2021.20.57.

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The geometric properties of differential systems are used to demonstrate how the sinh-poisson equation describes a surface with a constant negative curvature in this paper. The canonical reduction of 4-dimensional self dual Yang Mills theorem is the sinh-poisson equation, which explains pseudo spherical surfaces. We derive the B¨acklund transformations and the travelling wave solution for the sinh-poisson equation in specific. As a result, we discover exact solutions to the self-dual Yang-Mills equations.
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Labovskiy, S. M., and M. F. Getimane. "POISSON PROBLEM FOR A LINEAR FUNCTIONAL DIFFERENTIAL EQUATION." Tambov University Reports. Series: Natural and Technical Sciences 21, no. 1 (2016): 76–81. http://dx.doi.org/10.20310/1810-0198-2016-21-1-76-81.

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Zhang, Zhehao. "A New Fractional Poisson Process Governed by a Recursive Fractional Differential Equation." Fractal and Fractional 6, no. 8 (July 29, 2022): 418. http://dx.doi.org/10.3390/fractalfract6080418.

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This paper proposes a new fractional Poisson process through a recursive fractional differential governing equation. Unlike the homogeneous Poison process, the Caputo derivative on the probability distribution of k jumps with respect to time is linked to all probability distribution functions of j jumps, where j is a non-negative integer less than or equal to k. The distribution functions of arrival times are derived, while the inter-arrival times are no longer independent and identically distributed. Further, this new fractional Poisson process can be interpreted as a homogeneous Poisson process whose natural time flow has been randomized, and the underlying time randomizing process has been studied. Finally, the conditional distribution of the kth order statistic from random number samples, counted by this fractional Poisson process, is also discussed.
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Dissertations / Theses on the topic "Poisson equation"

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Bäck, Viktor. "Localization of Multiscale Screened Poisson Equation." Thesis, Uppsala universitet, Algebra och geometri, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-180928.

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Di, Cosmo Jonathan. "Nonlinear Schrödinger equation and Schrödinger-Poisson system in the semiclassical limit." Doctoral thesis, Universite Libre de Bruxelles, 2011. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209863.

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The nonlinear Schrödinger equation appears in different fields of physics, for example in the theory of Bose-Einstein condensates or in wave propagation models. From a mathematical point of view, the study of this equation is interesting and delicate, notably because it can have a very rich set of solutions with various behaviours.

In this thesis, we have been interested in standing waves, which satisfy an elliptic partial differential equation. When this equation is seen as a singularly perturbed problem, its solutions concentrate, in the sense that they converge uniformly to zero outside some concentration set, while they remain positive on this set.

We have obtained three kind of new results. Firstly, under symmetry assumptions, we have found solutions concentrating on a sphere. Secondly, we have obtained the same type of solutions for the Schrödinger-Poisson system. The method consists in applying the mountain pass theorem to a penalized problem. Thirdly, we have proved the existence of solutions of the nonlinear Schrödinger equation concentrating at a local maximum of the potential. These solutions are found by a more general minimax principle. Our results are characterized by very weak assumptions on the potential./

L'équation de Schrödinger non-linéaire apparaît dans différents domaines de la physique, par exemple dans la théorie des condensats de Bose-Einstein ou dans des modèles de propagation d'ondes. D'un point de vue mathématique, l'étude de cette équation est intéressante et délicate, notamment parce qu'elle peut posséder un ensemble très riche de solutions avec des comportements variés.

Dans cette thèse ,nous nous sommes intéressés aux ondes stationnaires, qui satisfont une équation aux dérivées partielles elliptique. Lorsque cette équation est vue comme un problème de perturbations singulières, ses solutions se concentrent, dans le sens où elles tendent uniformément vers zéro en dehors d'un certain ensemble de concentration, tout en restant positives sur cet ensemble.

Nous avons obtenu trois types de résultats nouveaux. Premièrement, sous des hypothèses de symétrie, nous avons trouvé des solutions qui se concentrent sur une sphère. Deuxièmement, nous avons obtenu le même type de solutions pour le système de Schrödinger-Poisson. La méthode consiste à appliquer le théorème du col à un problème pénalisé. Troisièmement, nous avons démontré l'existence de solutions de l'équation de Schrödinger non-linéaire qui se concentrent en un maximum local du potentiel. Ces solutions sont obtenues par un principe de minimax plus général. Nos résultats se caractérisent par des hypothèses très faibles sur le potentiel.
Doctorat en sciences, Spécialisation mathématiques
info:eu-repo/semantics/nonPublished

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Vogrinc, Jure. "Poisson equation and weak approximation for Metropolis-Hastings chains." Thesis, Imperial College London, 2017. http://hdl.handle.net/10044/1/56621.

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The work presented investigates speeding up MCMC methods by introducing control variates based on approximate solutions of the Poisson equation. In the setting of Metropolis-Hastings chains in Rd two scalable approaches of approximately solving the Poisson equation are discussed. In both cases an underlying weakly convergent sequence of related Markov chains, enumerated by a scaling parameter, is identi ed and results, asymptotic in the scaling parameter, are given for the achieved improvement. In the rst approach control variates are constructed according to a sequence of ner and ner partitions of the state-space of the Metropolis-Hastings chain, with the mesh of the partition serving as the scaling parameter. In this context it is shown, that as the mesh reduces arbitrarily, so does the asymptotic variance in the Central limit theorem associated with the control variate given by the partition. The second approach assumes a target density of a product type and scales the dimension of the state-space and the variance of the proposal simultaneously. The resulting weakly convergent sequence converges to a Langevin di usion, which is then used to construct control variates for the Metropolis-Hastings chains in the sequence. The bounds obtained in this context suggest the improvement achieved by this approach grows almost linearly in dimension.
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Zhou, Dong. "High-order numerical methods for pressure Poisson equation reformulations of the incompressible Navier-Stokes equations." Diss., Temple University Libraries, 2014. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/295839.

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Mathematics
Ph.D.
Projection methods for the incompressible Navier-Stokes equations (NSE) are efficient, but introduce numerical boundary layers and have limited temporal accuracy due to their fractional step nature. The Pressure Poisson Equation (PPE) reformulations represent a class of methods that replace the incompressibility constraint by a Poisson equation for the pressure, with a suitable choice of the boundary condition so that the incompressibility is maintained. PPE reformulations of the NSE have important advantages: the pressure is no longer implicitly coupled to the velocity, thus can be directly recovered by solving a Poisson equation, and no numerical boundary layers are generated; arbitrary order time-stepping schemes can be used to achieve high order accuracy in time. In this thesis, we focus on numerical approaches of the PPE reformulations, in particular, the Shirokoff-Rosales (SR) PPE reformulation. Interestingly, the electric boundary conditions, i.e., the tangential and divergence boundary conditions, provided for the velocity in the SR PPE reformulation render classical nodal finite elements non-convergent. We propose two alternative methodologies, mixed finite element methods and meshfree finite differences, and demonstrate that these approaches allow for arbitrary order of accuracy both in space and in time.
Temple University--Theses
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CARMO, FABIANO PETRONETTO DO. "POISSON EQUATION AND THE HELMHOLTZ-HODGE DECOMPOSITION WITH SPH OPERATORS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2008. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=12140@1.

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COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR
FUNDAÇÃO DE APOIO À PESQUISA DO ESTADO DO RIO DE JANEIRO
A equação diferencial parcial de Poisson é de fundamental importância em várias áreas de pesquisa, dentre elas: matemática, física e engenharia. Para resolvê-la numericamente utilizam-se vários métodos, tais como os já tradicionais métodos das diferenças finitas e dos elementos finitos. Este trabalho propõe um método para resolver a equação de Poisson, utilizando uma abordagem de sistema de partículas conhecido como SPH, do inglês Smoothed Particles Hydrodynamics. O método proposto para a solução da equação de Poisson e os operadores diferenciais discretos definidos no método SPH, chamados de operadores SPH, são utilizados neste trabalho em duas aplicações: na decomposição de campos vetoriais; e na simulação numérica de escoamentos de fluidos monofásicos e bifásicos utilizando a equação de Navier-Stokes.
Poisson`s equation is of fundamental importance in many research areas in engineering and the mathematical and physical sciences. Its numerical solution uses several approaches among them finite differences and finite elements. In this work we propose a method to solve Poisson`s equation using the particle method known as SPH (Smoothed Particle Hydrodynamics). The proposed method together with an accurate analysis of the discrete differential operators defined by SPH are applied in two related situations: the Hodge-Helmholtz vector field decomposition and the numerical simulation of the Navier-Stokes equations.
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Zhang, Mei. "Some problems on conservation laws and Vlasov-Poisson-Boltzmann equation /." access full-text access abstract and table of contents, 2009. http://libweb.cityu.edu.hk/cgi-bin/ezdb/thesis.pl?phd-ma-b23749465f.pdf.

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Thesis (Ph.D.)--City University of Hong Kong, 2009.
"Submitted to Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy." Includes bibliographical references (leaves [90]-94)
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Mayboroda, Svitlana. "The poisson problem on Lipschitz domains." Diss., Columbia, Mo. : University of Missouri-Columbia, 2005. http://hdl.handle.net/10355/4133.

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Thesis (Ph.D.)--University of Missouri-Columbia, 2005.
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file viewed on (January 25, 2007) Vita. Includes bibliographical references.
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Labra, Bahena Luis R. "Multilevel Solution of the Discrete Screened Poisson Equation for Graph Partitioning." Thesis, California State University, Long Beach, 2017. http://pqdtopen.proquest.com/#viewpdf?dispub=10638940.

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A new graph partitioning algorithm which makes use of a novel objective function and seeding strategy, Product Cut, frequently outperforms standard clustering methods. The solution strategy on solving this objective depends on developing a fast solution method for the systems of graph--based analogues of the screened Poisson equation, which is a well-studied problem in the special case of structured graphs arising from PDE discretization.

In this work, we attempt to improve the powerful Algebraic Multigrid (AMG) method and build upon the recently introduced Product Cut algorithm. Specifically, we study the consequences of incorporating a dynamic determination of the diffusion parameter by introducing a prior to the objective function. This culminates in an algorithm which seems to partially eliminate an advantage present in the original Product Cut algorithm's slower implementation.

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Денисов, Станіслав Іванович, Станислав Иванович Денисов, Stanislav Ivanovych Denysov, V. M. Bohopolskyi, and N. E. Shypilov. "Master Equation for a Localized Particle Driven by Poisson White Noise." Thesis, Sumy State University, 2018. http://essuir.sumdu.edu.ua/handle/123456789/67936.

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Fluctuations in nanosystems play an important role in forming their electric, magnetic, thermal and other properties. Usually, due to the central limit theorem of probability theory, these fluctuations obey Gaussian statistics. However, in some cases, e.g., when the system is subjected to Poisson white noise, that is a random sequence of 𝛿-pulses, the system fluctuations are not Gaussian. Here, we derive the corresponding equation for the probability density function 𝑃(𝑥, 𝑡) of the system parameter 𝑥(𝑡) interpreted as a particle coordinate within an impenetrable box.
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Makarov, Mihail. "On the second poisson structure for the Korteweg-de Vries equation /." The Ohio State University, 1998. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487949508367548.

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Books on the topic "Poisson equation"

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Blossey, Ralf. The Poisson-Boltzmann Equation. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-24782-8.

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Ponce, Augusto C. Elliptic PDEs, measures and capacities: From the Poisson equation to nonlinear Thomas-Fermi problems. Zürich: European Mathematical Society, 2016.

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Vorobiev, Leonid G. A symplectic Poisson solver based on fast Fourier transformation: The first trial. Tsukuba-shi, Ibaraki-ken Japan: National Laboratory for High Energy Physics, 1995.

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Barros, Saulo R. M. The Poisson equation on the unit disk: A Multigrid solver using polar coordinates. Sankt Augustin, W.-Germany: Gesellschaft f"ur Mathematik und Datenverarbeitung, 1986.

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Scholma, J. K. A Lie algebraic study of some integrable systems associated with root systems. Amsterdam, the Netherlands: Centrum voor Wiskunde en Informatica, 1993.

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Center, Langley Research, ed. Study of Gortler vortices by compact schemes. [Hampton, Va: Langley Research Center, 1990.

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United States. National Aeronautics and Space Administration., ed. Steady and unsteady three-dimensional transonic flow computations by integral equation method: Final technical report. [Washington, DC: National Aeronautics and Space Administration, 1994.

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O, Demuren A., and United States. National Aeronautics and Space Administration., eds. Computations of complex three-dimensional turbulent free jets. Norfolk, Va: Institute for Computational and Applied Mechanics, Old Dominion University, 1997.

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K, Wright, and United States. National Aeronautics and Space Administration., eds. A study entitled research on orbital plasma-electrodynamics: Progress report, period of performance, March 27, 1994 - June 29, 1994. [Washington, DC: National Aeronautics and Space Administration, 1994.

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Soh, Woo Y. Direct coupling methods for time-accurate solution of incompressible Navier-Stokes equations. [Washington, DC]: National Aeronautics and Space Administration, 1992.

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Book chapters on the topic "Poisson equation"

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Wartak, Marek S. "Poisson Equation." In Introduction to Simulations of Semiconductor Lasers, 94–121. Boca Raton: CRC Press, 2024. http://dx.doi.org/10.1201/9781003265849-6.

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Hong, Sung-Min, Anh-Tuan Pham, and Christoph Jungemann. "Poisson Equation." In Computational Microelectronics, 175–76. Vienna: Springer Vienna, 2011. http://dx.doi.org/10.1007/978-3-7091-0778-2_10.

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Sleeman, Brian D. "Partial Differential Equations, Poisson Equation." In Encyclopedia of Systems Biology, 1635–38. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4419-9863-7_274.

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Curry, Joan E. "Poisson-Boltzmann Equation." In Encyclopedia of Earth Sciences Series, 1–2. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-39193-9_15-1.

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Curry, Joan E. "Poisson-Boltzmann Equation." In Encyclopedia of Earth Sciences Series, 1240–41. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-39312-4_15.

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Hackbusch, Wolfgang. "The Poisson Equation." In Elliptic Differential Equations, 29–42. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-54961-2_3.

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Herná-Lerma, Onésimo, and Jean Bernard Lasserre. "The Poisson Equation." In Markov Chains and Invariant Probabilities, 103–20. Basel: Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8024-4_8.

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Hackbusch, Wolfgang. "The Poisson Equation." In Elliptic Differential Equations, 27–37. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-11490-8_3.

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Suzuki, Takashi. "Boltzmann-Poisson Equation." In Mean Field Theories and Dual Variation - Mathematical Structures of the Mesoscopic Model, 269–96. Paris: Atlantis Press, 2015. http://dx.doi.org/10.2991/978-94-6239-154-3_9.

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Gonis, Antonios, and William H. Butler. "The Poisson Equation." In Graduate Texts in Contemporary Physics, 203–25. New York, NY: Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1290-4_9.

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Conference papers on the topic "Poisson equation"

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Govindugari, Nithin Reddy, and Hiu Yung Wong. "Study of Using Variational Quantum Linear Solver for Solving Poisson Equation." In 2024 International Conference on Simulation of Semiconductor Processes and Devices (SISPAD), 01–04. IEEE, 2024. http://dx.doi.org/10.1109/sispad62626.2024.10732984.

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Cappelli, Luca, Giuseppe Murante, and Stefano Borgani. "Numerical limits in the integration of Vlasov-Poisson equation for Cold Dark Matter." In 2025 33rd Euromicro International Conference on Parallel, Distributed, and Network-Based Processing (PDP), 431–38. IEEE, 2025. https://doi.org/10.1109/pdp66500.2025.00067.

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Dizdaroglu, B. "Healed photomontage via Poisson equation." In 2013 21st Signal Processing and Communications Applications Conference (SIU). IEEE, 2013. http://dx.doi.org/10.1109/siu.2013.6531333.

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Marshall, Ian, Piotr Kielanowski, Anatol Odzijewicz, Martin Schlichenmeier, and Theodore Voronov. "Poisson properties of Hill's equation." In XXVI INTERNATIONAL WORKSHOP ON GEOMETRICAL METHODS IN PHYSICS. AIP, 2007. http://dx.doi.org/10.1063/1.2820969.

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Stańczy, Robert. "Stationary solutions of the generalized Smoluchowski–Poisson equation." In Parabolic and Navier–Stokes equations. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2008. http://dx.doi.org/10.4064/bc81-0-31.

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Mechrez, Roey, Eli Shechtman, and Lihi Zelnik-Manor. "Photorealistic Style Transfer with Screened Poisson Equation." In British Machine Vision Conference 2017. British Machine Vision Association, 2017. http://dx.doi.org/10.5244/c.31.153.

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Kweyu, Cleophas, Martin Hess, Lihong Feng, Matthias Stein, and Peter Benner. "REDUCED BASIS METHOD FOR POISSON-BOLTZMANN EQUATION." In VII European Congress on Computational Methods in Applied Sciences and Engineering. Athens: Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2016. http://dx.doi.org/10.7712/100016.2103.5891.

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Chua, C., C. Y. Kee, Y. S. Ang, and L. K. Ang. "Generalized Poisson-Boltzmann Equation In Fractional Dimension." In 2022 IEEE International Conference on Plasma Science (ICOPS). IEEE, 2022. http://dx.doi.org/10.1109/icops45751.2022.9812974.

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Khawwan, Hasan Ali, and Ali Al-Fayadh. "Laplace substitution method for solving Poisson equation." In THE FOURTH AL-NOOR INTERNATIONAL CONFERENCE FOR SCIENCE AND TECHNOLOGY (4NICST2022). AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0202192.

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Yun Ge, Baicai Yin, Yanfeng Sun, and Hengliang Tang. "3D face texture stitching based on Poisson Equation." In 2010 IEEE International Conference on Intelligent Computing and Intelligent Systems (ICIS 2010). IEEE, 2010. http://dx.doi.org/10.1109/icicisys.2010.5658726.

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Reports on the topic "Poisson equation"

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Day, Marcus S., Phillip Colella, Michael J. Lijewski, Charles A. Rendleman, and Daniel L. Marcus. Embedded Boundary Algorithms for Solving the Poisson Equation on Complex Domains. Office of Scientific and Technical Information (OSTI), May 1998. http://dx.doi.org/10.2172/771633.

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Chao, E. H., S. F. Paul, R. C. Davidson, and K. S. Fine. Direct numerical solution of Poisson`s equation in cylindrical (r, z) coordinates. Office of Scientific and Technical Information (OSTI), July 1997. http://dx.doi.org/10.2172/304205.

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Johansen, H., and P. Colella. A Cartesian grid embedded boundary method for Poisson`s equation on irregular domains. Office of Scientific and Technical Information (OSTI), January 1997. http://dx.doi.org/10.2172/459443.

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Bhuiyan, L. B., and C. W. Outhwaite. Modified Poisson-Boltzmann Equation in the Electric Double Layer Theory for an Electrolyte with Size Asymmetric Ions. Fort Belvoir, VA: Defense Technical Information Center, September 1988. http://dx.doi.org/10.21236/ada201410.

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Kavouklis, C. A sixth order Mehrstellen scheme with an application to the Method of Local Corrections for the 3D Poisson equation. Office of Scientific and Technical Information (OSTI), July 2022. http://dx.doi.org/10.2172/1879264.

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Lasater, M. S., C. T. Kelley, A. G. Salinger, D. L. Woolard, and P. Zhao. Solution of the Wigner-Poisson Equations for RTDs. Fort Belvoir, VA: Defense Technical Information Center, January 2004. http://dx.doi.org/10.21236/ada446723.

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Glynn, Peter W. A Lyapunov Bound for Solutions of Poisson's Equation. Fort Belvoir, VA: Defense Technical Information Center, November 1989. http://dx.doi.org/10.21236/ada220223.

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W.W. Lee and R.A. Kolesnikov. On Higher-order Corrections to Gyrokinetic Vlasov-Poisson Equations in the Long Wavelength Limit. Office of Scientific and Technical Information (OSTI), February 2009. http://dx.doi.org/10.2172/950698.

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Lai, Ming-Chih, Zhilin Li, and Xiaobiao Lin. Fast Solvers for 3D Poisson Equations Involving Interfaces in an Finite or the Infinite Domain. Fort Belvoir, VA: Defense Technical Information Center, January 2002. http://dx.doi.org/10.21236/ada454445.

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Batygin, Yuri K. Spectral Method for 3-dimensional Poisson's Equation in Cylindrical Coordinates with Regular Boundaries. Office of Scientific and Technical Information (OSTI), June 2001. http://dx.doi.org/10.2172/784945.

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