Academic literature on the topic 'Analytic solution'

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Journal articles on the topic "Analytic solution"

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Górecki, Henryk. "Analytic solution of transcendental equations." International Journal of Applied Mathematics and Computer Science 20, no. 4 (2010): 671–77. http://dx.doi.org/10.2478/v10006-010-0050-2.

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Analytic solution of transcendental equationsA decomposition technique of the solution of ann-th order linear differential equation into a set of solutions of 2-nd order linear differential equations is presented.
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Martynov, G. A. "Distribution functions of binary solutions (exact analytic solution)." Theoretical and Mathematical Physics 123, no. 3 (2000): 833–45. http://dx.doi.org/10.1007/bf02551037.

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Nazari, Mojtaba, Faisal Salah, Zainal Abdul Aziz, and Merbakhsh Nilashi. "Approximate Analytic Solution for the KdV and Burger Equations with the Homotopy Analysis Method." Journal of Applied Mathematics 2012 (2012): 1–13. http://dx.doi.org/10.1155/2012/878349.

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The homotopy analysis method (HAM) is applied to obtain the approximate analytic solution of the Korteweg-de Vries (KdV) and Burgers equations. The homotopy analysis method (HAM) is an analytic technique which provides us with a new way to obtain series solutions of such nonlinear problems. HAM contains the auxiliary parameterħ, which provides us with a straightforward way to adjust and control the convergence region of the series solution. The resulted HAM solution at 8th-order and 14th-order approximation is then compared with that of the exact soliton solutions of KdV and Burgers equations,
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Abbasbandy, Saeid, Mahnaz Ashtiani, and Esmail Babolian. "Analytic Solution of the Sharma-Tasso-Olver Equation by Homotopy Analysis Method." Zeitschrift für Naturforschung A 65, no. 4 (2010): 285–90. http://dx.doi.org/10.1515/zna-2010-0404.

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An analytic technique, the homotopy analysis method (HAM), is applied to obtain the kink solution of the Sharma-Tasso-Olver equation. The homotopy analysis method is one of the analytic methods and provides us with a new way to obtain series solutions of such problems. HAM contains the auxiliary parameter ħwhich gives us a simple way to adjust and control the convergence region of series solution. “Due to this reason, it seems reasonable to rename ħthe convergence-control parameter” [1].
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LIAO, SHI-JUN. "A uniformly valid analytic solution of two-dimensional viscous flow over a semi-infinite flat plate." Journal of Fluid Mechanics 385 (April 25, 1999): 101–28. http://dx.doi.org/10.1017/s0022112099004292.

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We apply a new kind of analytic technique, namely the homotopy analysis method (HAM), to give an explicit, totally analytic, uniformly valid solution of the two-dimensional laminar viscous flow over a semi-infinite flat plate governed by f‴(η)+αf(η)f″(η)+β[1−f′2(η)]=0 under the boundary conditions f(0)=f′(0)=0, f′(+∞)=1. This analytic solution is uniformly valid in the whole region 0[les ]η<+∞. For Blasius' (1908) flow (α=1/2, β=0), this solution converges to Howarth's (1938) numerical result and gives a purely analytic value f″(0)=0.332057. For the Falkner–Skan (1931) flow (α=1), it gives
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Abbasbandy, Saeid, Muhammet Yürüsoy, and Mehmet Pakdemirli. "The Analysis Approach of Boundary Layer Equations of Power-Law Fluids of Second Grade." Zeitschrift für Naturforschung A 63, no. 9 (2008): 564–70. http://dx.doi.org/10.1515/zna-2008-0906.

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A powerful analytic technique for nonlinear problems, the homotopy analysis method (HAM), is employed to give analytic solutions of power-law fluids of second grade. For the so-called secondorder power-law fluids, the explicit analytic solutions are given by recursive formulas with constant coefficients. Also, for the real power-law index in a quite large range an analytic approach is proposed. It is demonstrated that the approximate solution agrees well with the finite difference solution. This provides further evidence that the homotopy analysis method is a powerful tool for finding excellen
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Wilkin, Francis P. "Modeling Nonaxisymmetric Bow Shocks: Solution Method and Exact Analytic Solutions." Astrophysical Journal 532, no. 1 (2000): 400–414. http://dx.doi.org/10.1086/308576.

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Cassell, J. S. "Analytic solution of algebraic equations." Annals of Nuclear Energy 28, no. 14 (2001): 1469–76. http://dx.doi.org/10.1016/s0306-4549(00)00131-6.

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Awawdeh, Fadi, Ahmad Adawi, and Safwan Al-Shara'. "Analytic Solution of Multipantograph Equation." Journal of Applied Mathematics and Decision Sciences 2008 (November 16, 2008): 1–10. http://dx.doi.org/10.1155/2008/605064.

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We apply the homotopy analysis method (HAM) for solving the multipantograph equation. The analytical results have been obtained in terms of convergent series with easily computable components. Several examples are given to illustrate the efficiency and implementation of the homotopy analysis method. Comparisons are made to confirm the reliability of the homotopy analysis method.
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Xu, Liang, and Sha Xu. "Analytic Solution to a Virus Infection Model." Applied Mechanics and Materials 367 (August 2013): 503–7. http://dx.doi.org/10.4028/www.scientific.net/amm.367.503.

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A functional analytic method was developed by E.K.Ifantis in 1987 to prove that certain non-linear ordinary differential equations (ODEs) have a unique power series solution which converges absolutely in a specified disc of the complex plane. In this paper, we first applied this method to certain systems of two non-linear ordinary differential equations. We proved that the power series solutions can be determined by some recurrence relations which depend on the parameters of the equations and the initial conditions. Then, we found a method to extend the range of the converge bound. At last, we
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Dissertations / Theses on the topic "Analytic solution"

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Popov, Mikhail. "Analytic and Numerical Methods for the Solution of Electromagnetic Inverse Source Problems." Doctoral thesis, KTH, Electromagnetic Theory, 2001. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3134.

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Calbo, Sanjuán Gema. "Mean Square Analytic Solutions of Random Linear Models." Doctoral thesis, Universitat Politècnica de València, 2010. http://hdl.handle.net/10251/8721.

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El objetivo de este proyecto de tesis doctoral es el desarrollo de técnicas analítico-numéricas para resolver, en media cuadrática problemas, de valores iniciales de ecuaciones y sistemas de ecuaciones en diferencias y diferenciales aleatorias de tipo lineal. Respecto del estudio aportado sobre ecuaciones en diferencias (véase Capítulo 3), se extienden al contexto aleatorio algunos de los principales resultados que en el caso determinista se conocen para resolver este tipo de ecuaciones así como para estudiar el comportamiento asintótico de su solución. En lo que se refiere a las ecuaciones di
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Massei, Stefano. "Exploiting rank structures in the numerical solution of Markov chains and matrix functions." Doctoral thesis, Scuola Normale Superiore, 2017. http://hdl.handle.net/11384/85717.

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Mohamed, Nurul Akmal. "Numerical solution and spectrum of boundary-domain integral equations." Thesis, Brunel University, 2013. http://bura.brunel.ac.uk/handle/2438/7592.

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A numerical implementation of the direct Boundary-Domain Integral Equation (BDIE)/ Boundary-Domain Integro-Differential Equations (BDIDEs) and Localized Boundary-Domain Integral Equation (LBDIE)/Localized Boundary-Domain Integro-Differential Equations (LBDIDEs) related to the Neumann and Dirichlet boundary value problem for a scalar elliptic PDE with variable coefficient is discussed in this thesis. The BDIE and LBDIE related to Neumann problem are reduced to a uniquely solvable one by adding an appropriate perturbation operator. The mesh-based discretisation of the BDIE/BDIDEs and LBDIE/LBDID
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Sunter, Kristen A. (Kristen Ann) 1982. "An analytic solution for magnetization distribution in multigrain ferromagnetic materials in an applied magnetic field." Thesis, Massachusetts Institute of Technology, 2004. http://hdl.handle.net/1721.1/32726.

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Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Materials Science and Engineering, 2004.<br>Includes bibliographical references (leaf 21, first group).<br>The magnetic behavior of a material is governed by the variation in anisotropy direction from grain to grain as well as the changes in ferromagnetic parameters at grain boundaries and other defect regions. For example, transmission electron microscopy results show that chromium segregation occurs at the grand boundaries in CoCrTa films, which are used in hard disk drives. In this paper, we model the case of two adjacent semi-i
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Xu, Ziyue. "An analytic approach to tensor scale with efficient computational solution and applications to medical imaging." Diss., University of Iowa, 2012. https://ir.uiowa.edu/etd/3016.

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Scale is a widely used notion in medical image analysis that evolved in the form of scale-space theory where the key idea is to represent and analyze an image at various resolutions. Recently, a notion of local morphometric scale referred to as "tensor scale" was introduced using an ellipsoidal model that yields a unified representation of structure size, orientation and anisotropy. In the previous work, tensor scale was described using a 2-D algorithmic approach and a precise analytic definition was missing. Also, with pr
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Catak, Sevil. "Performance Budgeting System In Turkey: Problems And Solution Proposals." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/3/12611537/index.pdf.

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Effective and efficient use of public resources has a vital importance for Turkey, as for all countries. To serve this purpose, public financial management was reformed and performance budgeting system was begun to be implemented in Turkey. In order performance budgeting system to be properly put into practice, the system should have been well designed, regulations should have been adequately prepared and necessary information, guidance and support should be provided to the implementers. In this study, the implementation of performance budgeting system in Turkey was investigated from the persp
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Prinsloo, Rian Hendrik. "Solution of the multigroup analytic nodal diffusion equations in 3-dimensional cylindrical geometry / Rian H. Prinsloo." Thesis, North-West University, 2006. http://hdl.handle.net/10394/1460.

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Killian, Tyler Norton Rao S. M. "Fast solution of large-body problems using domain decomposition and null-field generation in the method of moments." Auburn, Ala, 2009. http://hdl.handle.net/10415/1881.

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Ignace, Richard. "Recombination Lines and Free-Free Continua Formed in Asymptotic Ionized Winds: Analytic solution for the radiative transfer." Digital Commons @ East Tennessee State University, 2009. https://dc.etsu.edu/etsu-works/6264.

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In dense hot star winds, the infrared and radio continua are dominated by free‐free opacity and recombination emission line spectra. In the case of a spherically symmetric outflow that is isothermal and expanding at constant radial speed, the radiative transfer for the continuum emission from a dense wind is analytic. Even the emission profile shape for a recombination line can be derived. Key to these derivations is that the opacity scales with only the square of the density. These results are well‐known. Here an extension of the derivation is developed that also allows for line blends and th
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Books on the topic "Analytic solution"

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Nikolaevich, Koėlʹ Mikhkelʹ, ed. Ionic liquids in chemical analysis. CRC Press, 2009.

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Nikolaevich, Koėlʹ Mikhkelʹ, ed. Ionic liquids in chemical analysis. CRC Press, 2009.

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Pavel, Povondra, ed. Methods of decomposition in inorganic analysis. CRC Press, 1989.

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R, Coriell S., Sekerka R. F, and National Institute of Standards and Technology (U.S.), eds. Analytic solution for a non-axisymmetric isothermal dendrite. U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1999.

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Chavis, Ira. IBM Optimized Analytic Infrastructure solution: Installation guide V1.0. IBM, International Technical Support Organization, 2006.

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Sulcek, Zdenek. Methods of decomposition in inorganic analysis. CRC Press, 1989.

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Kaliszan, Roman. Quantitative structure-chromatographic retention relationships. Wiley, 1987.

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Slovak-Austrian, Symposium Contemporary State and Trends of Decomposition Methods in Analytical Chemistry (1997 Košice Slovakia). Slovak-Austrian Symposium, Contemporary State and Trends of Decomposition Methods in Analytical Chemistry: Proceedings : Košice 1997 February. Stroffek Pub., 1997.

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Beresnev, Ė. N. Metod ostatochnykh kont͡sentrat͡siĭ. Nauka, 1992.

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Tutschke, Wolfgang. Solution of Initial Value Problems in Classes of Generalized Analytic Functions. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-662-09943-8.

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Book chapters on the topic "Analytic solution"

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Ida, Nathan. "Analytic methods of solution." In Numerical Modeling for Electromagnetic Non-Destructive Evaluation. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4757-0560-7_3.

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Nir, Gilad. "Nonsense: A Riddle without Solution." In Early Analytic Philosophy. Routledge, 2025. https://doi.org/10.4324/9781003342205-19.

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Harmuth, Henning F., Raouf N. Boules, and Malek G. M. Hussain. "Analytic Solution for Cylinder Waves." In Electromagnetic Signals. Springer US, 1999. http://dx.doi.org/10.1007/978-1-4615-4849-2_3.

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Moroz, Alexander. "Analytic Solution of the Rabi model." In NATO Science for Peace and Security Series B: Physics and Biophysics. Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-017-9133-5_30.

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Çelebi, A. O., and U. Yüksel. "Solution of Initial Value Problems for Pseudoholomorphic Functions in Conical Domains." In Generalized Analytic Functions. Springer US, 1998. http://dx.doi.org/10.1007/978-1-4613-3332-6_7.

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Antenucci, Fabrizio. "Analytic Solution of the Narrow-Bandwidth Model." In Statistical Physics of Wave Interactions. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-41225-2_3.

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Ida, Nathan. "Boundary Value Problems: Analytic Methods of Solution." In Engineering Electromagnetics. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4757-3287-0_5.

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Ida, Nathan. "Boundary Value Problems: Analytic Methods of Solution." In Engineering Electromagnetics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-07806-9_5.

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Ida, Nathan. "Boundary Value Problems: Analytic Methods of Solution." In Engineering Electromagnetics. Springer New York, 2004. http://dx.doi.org/10.1007/978-0-387-68624-0_5.

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Ida, Nathan. "Boundary Value Problems: Analytic Methods of Solution." In Engineering Electromagnetics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-15557-5_5.

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Conference papers on the topic "Analytic solution"

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Baez, Victor M., Nikhil Navkar, and Aaron T. Becker. "An Analytic Solution to the 3D CSC Dubins Path Problem." In 2024 IEEE International Conference on Robotics and Automation (ICRA). IEEE, 2024. http://dx.doi.org/10.1109/icra57147.2024.10611360.

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Rudić, Branislav, Valentin Sturm, and Dmitry Efrosinin. "On the Analytic Solution to Recursive Smoothing in Mixture Models." In 2024 58th Asilomar Conference on Signals, Systems, and Computers. IEEE, 2024. https://doi.org/10.1109/ieeeconf60004.2024.10942739.

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Song, Yi, Kai Wan, Zhenyu Liao, Hao Xu, Giuseppe Caire, and Shlomo Shamai. "An Achievable and Analytic Solution to Information Bottleneck for Gaussian Mixtures." In 2024 IEEE International Symposium on Information Theory (ISIT). IEEE, 2024. http://dx.doi.org/10.1109/isit57864.2024.10619077.

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Shinohara, Masaaki, Keikichi Osawa, and Yuko Hinda. "A Solution for Multi-Evaluator AHP." In The International Symposium on the Analytic Hierarchy Process. Creative Decisions Foundation, 2005. http://dx.doi.org/10.13033/isahp.y2005.006.

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Lee, Hyuk-jae, Seok Lee, Deok Ha Woo, Taik Jin Lee, and Jae Hun Kim. "Analytic solution of the nonlinear equation." In 2012 12th International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD). IEEE, 2012. http://dx.doi.org/10.1109/nusod.2012.6316509.

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Takagi, Seiichiro. "Target Means Solution System and Its Applications." In The International Symposium on the Analytic Hierarchy Process. Creative Decisions Foundation, 1988. http://dx.doi.org/10.13033/isahp.y1988.066.

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Ginda, Grzegorz, and Dominika Dawiec. "SMART CITY PRINCIPLE-BASED ENERGY SOLUTION EVALUATION FRAMEWORK." In The International Symposium on the Analytic Hierarchy Process. Creative Decisions Foundation, 2018. http://dx.doi.org/10.13033/isahp.y2018.050.

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Nemykin, A. V., D. A. Shapiro, and S. V. Perminov. "Analytic solution for multichannel fiber Bragg grating." In 2014 International Conference Laser Optics. IEEE, 2014. http://dx.doi.org/10.1109/lo.2014.6886229.

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Bankov, S. "Analytic-numerical solution for 2D Veselago lens." In 2008 International Conference on Mathematical Methods in Electromagnetic Theory (MEET). IEEE, 2008. http://dx.doi.org/10.1109/mmet.2008.4581045.

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Lee, Wonhee, Kwanghee Nam, and Jaehong Kim. "Analytic MTPA Solution for Synchronous Reluctance Machine." In 2019 IEEE Energy Conversion Congress and Exposition (ECCE). IEEE, 2019. http://dx.doi.org/10.1109/ecce.2019.8912720.

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Reports on the topic "Analytic solution"

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McFadden, G. B., S. R. Coriell, and R. F. Sekerka. Analytic solution for a non-axisymmetric isothermal dendrite. National Institute of Standards and Technology, 1999. http://dx.doi.org/10.6028/nist.ir.6308.

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Marshall, H., M. Sahraoui, and M. Kaviany. An improved analytic solution for analysis of particle trajectories in fibrous, two-dimensional filters. Office of Scientific and Technical Information (OSTI), 1993. http://dx.doi.org/10.2172/10139204.

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Cowley, S. C., P. K. Kaw, R. S. Kelly, and R. M. Kulsrud. An analytic solution of high. beta. equilibrium in a large aspect ratio tokamak. Office of Scientific and Technical Information (OSTI), 1991. http://dx.doi.org/10.2172/5905938.

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Dawn, William C. An Analytic Benchmark for the Solution to the Isotopic Fission Spectrum Mixture Problem. Office of Scientific and Technical Information (OSTI), 2020. http://dx.doi.org/10.2172/1593873.

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Anderson, Oscar A. Accurate iterative analytic solution of theKapchinskij-Vladimirskij equations for the case of a matched beam. Office of Scientific and Technical Information (OSTI), 2006. http://dx.doi.org/10.2172/920259.

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Gonzalez-Lima, Maria D., Richard A. Tapia, and Florian A. Potra. On Effectively Computing the Analytic Center of the Solution Set by Primal-Dual Interior-Point Methods. Defense Technical Information Center, 1996. http://dx.doi.org/10.21236/ada445646.

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Ferguson, Jim Michael. The “2T” ion-electron semi-analytic shock solution for code-comparison with xRAGE: A report for FY16. Office of Scientific and Technical Information (OSTI), 2016. http://dx.doi.org/10.2172/1329821.

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Gonzaga, Clovis C., and Richard A. Tapia. On the Convergence of the Mizuno-Todd-Ye Algorithm to the Analytic Center of the Solution Set. Defense Technical Information Center, 1994. http://dx.doi.org/10.21236/ada453879.

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Kansa, E. J. Verification of the NIKE3D structural analysis code by comparison against the analytic solution for a spherical cavity under a far-field uniaxial stress. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/5745682.

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Cowell, Chandler, Michael P. Gallaher, Justin Larson, and Aaron Schwartz. The Potential for SolarPowered Groundwater Irrigation in Sub-Saharan Africa: An Exploratory Analysis. RTI Press, 2022. http://dx.doi.org/10.3768/rtipress.2022.op.0079.2211.

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This study considers existing off-grid initiatives that are being implemented in support of more rapid electrification in sub-Saharan Africa. After first reviewing the successes and obstacles of commonly implemented off-grid solutions, we suggest groundwater irrigation powered via off-grid solar (OGS) systems as a productivity-focused electrification solution that could be valuable to off-grid development initiatives moving forward. This solution encourages the establishment of OGS pumping infrastructure in unelectrified areas in proximity to nonirrigated agriculture that have promising and su
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