Relevant bibliographies by topics / Analytic solution

Contents

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

Academic literature on the topic 'Analytic solution'

Author: Grafiati
Published: 4 June 2021
Last updated: 11 June 2025

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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, respectively, and shown to be in excellent agreement.
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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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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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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 applied the functional analytic method to the resistant virus infection model to obtain a power series solution and compared our solution with the numerical solution obtained by the Runge-Kutta method using the software Matlab (Version 7.0.1).
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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 the same family of solutions as Hartree's (1937) numerical results and a related analytic formula for f″(0) when 2[ges ]β[ges ]0. Also, this analytic solution proves that when −0.1988[les ]β0 Hartree's (1937) family of solutions indeed possess the property that f′→1 exponentially as η→+∞. This verifies the validity of the homotopy analysis method and shows the potential possibility of applying it to some unsolved viscous flow problems in fluid mechanics.
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Remley, Kyle E., and David P. Griesheimer. "A SEMI-ANALYTIC EIGENVALUE EXTENSION TO THE DOPPLER SLAB ANALYTIC BENCHMARK1." EPJ Web of Conferences 247 (2021): 04018. http://dx.doi.org/10.1051/epjconf/202124704018.

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Advancement in multiphysics simulation has motivated interest in availability of analytic and semi-analytic benchmark solutions. These solutions are sought because they can be used to assess the accuracy of complicated numerical schemes necessary to simulate coupled physics systems. While there exist analytic solutions for fixed-source problems, benchmark-quality eigenvalue solutions are of interest because eigenvalue problems more closely align with analyses undertaken with coupled solvers. This paper extends a fixed-source benchmark, the Doppler Slab benchmark, to the eigenvalue case. A novel solution for this benchmark is derived. Numerical implementation of the benchmark is demonstrated through verification of numerical computation of the power reactivity coefficient.
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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 diferenciales hay que señalar que el elemento unificador del estudio realizado en esta memoria es la extensión al escenario aleatorio del método de Fröbenius para la búsqueda de soluciones de ecuaciones diferenciales en forma de desarrollos en serie de potencias. A largo de los Capítulos 4-7 se abordan problemas tanto de tipo escalar como de tipo matricial tanto de primer como de segundo orden, donde la aleatoriedad se introduce en los modelos a través de las condiciones iniciales y los coeficientes, siendo además la incertidumbre en este último caso, considerada tanto de forma aditiva como multiplicativa. Los problemas basados en ecuaciones diferenciales aleatorias tratados permiten introducir procesos estocásticos importantes como son el proceso exponencial (véase Capítulo 5), los procesos trigonométricos seno y coseno y algunas de sus propiedades algebraicas básicas (véase Capítulo 6). En el último capítulo se estudia la ecuación diferencial de Hermite con coeficientes aleatorios y, bajo ciertas condiciones, se obtienen soluciones en forma de serie aleatoria finita que definen los polinomios de Hermite aleatorios. Además de obtener las soluciones en forma de serie aleatoria convergente en el sentido estocástico de la media cuadrática, para cada uno de los problemas tratados se calculan aproximaciones de las principales propiedades estadísticas del proceso solución.<br>Calbo Sanjuán, G. (2010). Mean Square Analytic Solutions of Random Linear Models [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/8721<br>Palancia
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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/LBDIDEs with quadrilateral domain elements leads to systems of linear algebraic equations (discretised BDIE/BDIDEs/LBDIE/BDIDEs). Then the systems obtained from BDIE/BDIDE (discretised BDIE/BDIDE) are solved by the LU decomposition method and Neumann iterations. Convergence of the iterative method is analyzed in relation with the eigen-values of the corresponding discrete BDIE/BDIDE operators obtained numerically. The systems obtained from LBDIE/LBDIDE (discretised LBDIE/LBDIDE) are solved by the LU decomposition method as the Neumann iteration method diverges.
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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-infinite grains with arbitrary crystalline orientations with respect to each other. A Gaussian distribution is used to model the change in magnetic properties at the interface, and boundary conditions are imposed on the direction of magnetization deep within the grains and at the interface. The effects due to the diffuse interface are included using perturbation theory. The sum of the exchange, anisotropy and Zeeman energies is minimized, and the resulting Euler equation is solved analytically. A profile of the magnetization orientation in an inhomogeneous medium in an applied field is obtained to show the extent of the effects of grain boundary segregation. These results can direct future large-scale computer calculations and media improvement.<br>by Kristen A. Sunter.<br>S.B.
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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 previous framework, 3-D application is not practical due to computational complexity. The overall aim of the Ph.D. research is to establish an analytic definition of tensor scale in n-dimensional (n-D) images, to develop an efficient computational solution for 2- and 3-D images and to investigate its role in various medical imaging applications including image interpolation, filtering, and segmentation. Firstly, an analytic definition of tensor scale for n-D images consisting of objects formed by pseudo-Riemannian partitioning manifolds has been formulated. Tensor scale captures contextual structural information which is useful in local structure-adaptive anisotropic parameter control and local structure description for object/image matching. Therefore, it is helpful in a wide range of medical imaging algorithms and applications. Secondly, an efficient computational solution of tensor scale for 2- and 3-D images has been developed. The algorithm has combined Euclidean distance transform and several novel differential geometric approaches. The accuracy of the algorithm has been verified on both geometric phantoms and real images compared to the theoretical results generated using brute-force method. Also, a matrix representation has been derived facilitating several operations including tensor field smoothing to capture larger contextual knowledge. Thirdly, an inter-slice interpolation algorithm using 2-D tensor scale information of adjacent slices has been developed to determine the interpolation line at each image location in a gray level image. Experimental results have established the superiority of the tensor scale based interpolation method as compared to existing interpolation algorithms. Fourthly, an anisotropic diffusion filtering algorithm based on tensor scale has been developed. The method made use of tensor scale to design the conductance function for diffusion process so that along structure diffusion is encouraged and boundary sharpness is preserved. The performance has been tested on phantoms and medical images at various noise levels and the results were quantitatively compared with conventional gradient and structure tensor based algorithms. The experimental results formed are quite encouraging. Also, a tensor scale based n-linear interpolation method has been developed where the weights of neighbors were locally tuned based on local structure size and orientation. The method has been applied on several phantom and real images and the performance has been evaluated in comparison with standard linear interpolation and windowed Sinc interpolation methods. Experimental results have shown that the method helps to generate more precise structure boundaries without causing ringing artifacts. Finally, a new anisotropic constrained region growing method locally controlled by tensor scale has been developed for vessel segmentation that encourages axial region growing while arresting cross-structure leaking. The method has been successfully applied on several non-contrast pulmonary CT images. The accuracy of the new method has been evaluated using manually selection and the results found are very promising.
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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 perspective of public administrations under general budget and problems in the system were identified. Comments, experiences and suggestions of administrations were obtained via questionnaires and interviews, and analyzed. Additionally, regulatory legal documents and reports of administrations prepared within the performance budgeting concept were also investigated. In order to provide constitution of a more properly designed system and more easy and smooth implementation, to obtain a well adopted system by the implementers and to get results of better quality, proposals were put forward corresponding to the identified problems. Integrated analytic network process with a strategic resource allocation model proposal is presented to be used in update of performance programs in the aim of minimizing the deviations from targeted performance within budget constraints. The proposed model is implemented for the Strategy Development Unit of the Undersecretariat of Treasury.
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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 the inclusion of an additional power‐law dependence beyond just the density dependence. The additional power‐law is promoted as a representation of a radius dependent clumping factor. It is shown that differences in the line widths and equivalent widths of the emission lines depend on the steepness of the clumping power‐law. Assuming relative level populations in LTE in the upper levels of He II, an illustrative application of the model to Spitzer/IRS spectral data of the carbon‐rich star WR 90 is given (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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Beezão, Andreza Cristina. "Prescrição de singularidades analíticas de soluções de uma classe de campos vetoriais no toro." Universidade de São Paulo, 2011. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-06062011-144300/.

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Seja L \'= PONTO\' \'\\partial IND. t\' + [\'a(t) + ib (t)] \'\\partial IND. x\' um operador diferencial parcial agindo em distribuições definidas no toro bidimensional \'T POT. 2\'; onde a; b : \'T POT. 1\' \' SETA\' R são funções analíticas reais. Suponhamos que L não ée globalmente analítico hipoelítico e b não é uma função identicamente nula. O objetivo principal deste trabalho é o estudo das soluções singulares de L; através da natureza e da localização das suas singularidades. Com este intuito, primeiramente abordaremos a teoria das séries parciais de Fourier, que nos permitem relacionar o comportamento assintótico dos coeficientes parciais de Fourier de um dado objeto com a regularidade do mesmo<br>Let L \'= PONTO\' \'\\partial ind. t\' + [ a (t) + ib (t) ] \'\\partial IND. x\' be a partial differential operator acting on distributions on the two-torus \'T POT. 2\' , where a; b : \'T POT. 1\' \'ARROW\' R are real analytic functions. Assume that L is not a globally analytic hypoelliptic operator and b is not identically zero. The main goal of this work is the study of the singular solutions of L; by means of the nature and localization of their singularities. To this end, we first study the theory of partial Fourier series, which are a useful tool to analyze the regularity of a given distribution
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Books on the topic "Analytic solution"

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Harris, Daniel C. Quantitative chemical analysis solution manual. W. H. Freeman, 2010.

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Slowinski, Emil J. Qualitative analysis and the properties of ions in aqueous solution. 2nd ed. Saunders, 1990.

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

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

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N-body gravitational problem: Unrestricted solution. Grevyt Press, 2008.

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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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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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Irwin, John T. The mystery to a solution: Poe, Borges, and the analytic detective story. Johns Hopkins University Press, 1994.

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Meloun, M. Computation of solution equilibria: A guide to methods in potentiometry, extraction, and spectrophotometry. Edited by Havel J and Högfeldt Erik 1924-. E. Horwood, 1988.

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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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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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Casale, Giuliano, and Peter G. Harrison. "AutoCAT: Automated Product-Form Solution of Stochastic Models." In Matrix-Analytic Methods in Stochastic Models. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-4909-6_4.

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Conference papers on the topic "Analytic solution"

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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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Srivastava, Mayank, and Pradduman Yadav. "Build a Log Analytic Solution on AWS." In 2021 5th International Conference on Information Systems and Computer Networks (ISCON). IEEE, 2021. http://dx.doi.org/10.1109/iscon52037.2021.9702374.

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Tian, Yuan, Yan Hu, and Jia Liu. "Solution and optimal solution discrimination of analytic model for hidden failure detection." In 2017 IEEE Power & Energy Society General Meeting (PESGM). IEEE, 2017. http://dx.doi.org/10.1109/pesgm.2017.8274349.

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Tyurekhodjaev, Abibulla N., and Gulnar U. Mamatova. "Analytic solution of differential equation for gyroscope’s motions." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4959756.

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Reports on the topic "Analytic solution"

1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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10

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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Abstract:
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 sustainable groundwater abstraction potential. Using open-access spatial data to estimate the alignment of these resources is an important first step in determining potential study sites for on-the-ground research and pilot projects. This study focuses on applying the above approach to Ethiopia to produce a spatial layer representing areas that are recommended for further assessment of their OGS groundwater irrigation viability. We follow the spatial analysis with a projection of potential gains from investment in OGS groundwater pumping systems under different scenarios to highlight the solution’s viability with regional context. This assessment provides an initial methodology for identifying, examining, and expanding upon potential markets where OGS irrigation can become an economically viable solution.
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