Academic literature on the topic 'Analytical and numerical'

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Journal articles on the topic "Analytical and numerical"

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NUNES, R. P., and F. B. RIZZATO. "Analytical method for determining at equilibrium the envelope and emittance of initially mismatched beams." Journal of Plasma Physics 75, no. 6 (June 3, 2009): 829–39. http://dx.doi.org/10.1017/s0022377809990079.

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AbstractThis work presents a fully analytic way of determining relevant equilibrium quantities of a high-intensity charged particle beam submitted to magnetic focusing while inside a linear channel. Through the current approach, some intermediate steps of our original hybrid model which had to be solved numerically can now be eliminated, leading to the obtainment of a fully analytic expression. This expression relates the initial beam parameters with those at equilibrium, allowing beam macroscopic quantities such as envelope and emittance to be naturally and analytically determined. For validation, full self-consistent N-particle beam numerical simulations have been carried out and the results compared with the predictions supplied by the full analytical model. The agreement is shown to be good with the simulations and also with the original hybrid numerical-analytical version of the model.
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Ningsi, Gabariela Purnama, Fransiskus Nendi, and Lana Sugiarti. "An application of the finite difference method for solving the mass spring system equation." Jurnal Matematika, Statistika dan Komputasi 16, no. 3 (April 28, 2020): 404. http://dx.doi.org/10.20956/jmsk.v16i3.9574.

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The numerical method is one method that can be used to solve differential equations, both differential equations that are easy or difficult to solve analytically. The solution obtained from the calculation results is an approximate solution or a solution that approaches an analytic solution, not an analytic solution. That is, in solving differential equations numerically, there is always an error. In this paper, an analytical solution is described and described and the application of different methods in solving a damped mass spring system with a known limit value. The error between the analytic and numerical solutions obtained is very small.
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Rowlands, R. E. "OS03W0436 Commingling thermoelasticity with other experimental, analytical and numerical tools." Abstracts of ATEM : International Conference on Advanced Technology in Experimental Mechanics : Asian Conference on Experimental Mechanics 2003.2 (2003): _OS03W0436. http://dx.doi.org/10.1299/jsmeatem.2003.2._os03w0436.

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Wong, Leong Sing, and Shamini Somanathan. "Analytical and Numerical Modelling of One-Dimensional Consolidation of Stabilized Peat." Civil Engineering Journal 5, no. 2 (February 26, 2019): 398. http://dx.doi.org/10.28991/cej-2019-03091254.

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The objective of the paper is to compare and evaluate analytical and numerical solutions of one-dimensional consolidation of stabilized peat. The type of analytical method used to solve the problem is exact method by separation of variables and utilization of Fourier series. Plaxis 2D 8.2 Professional version software was used to find numerical solution to the problem by employing the finite element method. One-dimensional consolidation problem of stabilized peat was solved numerically and validated with the one solved analytically based on laboratory experimental results. From the results, it was discovered that the consolidation characteristics of stabilized peat evaluated numerically were found to have close approximation to those evaluated analytically. There is a novel value in developing an accurate numerical prediction for the vertical consolidation of stabilized peat considering the complexity of the soil treatment method. It must be noted that peat is highly problematic because it is produced from plant decomposition with extremely high organic matter.
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Коrniyenko, Yu V., and M. G. Suryaninov. "Development of CAD implementing the algorithm of boundary elements’ numerical analytical method." Odes’kyi Politechnichnyi Universytet. Pratsi, no. 1 (March 31, 2015): 128–33. http://dx.doi.org/10.15276/opu.1.45.2015.21.

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Abbas, Inrahim A., and Mohamed I. A. Othman. "Analytical and Numerical Solution of 2D Problem for Transversely Isotropic Generalized Thermoelastic Medium with Green-Naghdi Model II." International Journal of Acoustics and Vibration 23, No 3, September 2018 (September 2018): 294–301. http://dx.doi.org/10.20855/ijav.2018.23.31053.

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In this paper, a comparison was made between the analytical and numerical solution of a two-dimensional problem for a transversely isotropic generalized thermoelastic medium. The study is carried out in the context of generalized thermoelasticity proposed by Green and Naghdi’s theory of type II. The problem has been solved analytically using the normal mode method with the eigenvalue approach and numerically using a finite element method. The accuracy of the finite element formulation was validated by comparing the analytical and numerical solutions for the field quantities.
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Maximov, Serguei, Felipe Gonzalez-Montañez, Rafael Escarela-Perez, Juan Carlos Olivares-Galvan, and Hector Ascencion-Mestiza. "Analytical Analysis of Magnetic Levitation Systems with Harmonic Voltage Input." Actuators 9, no. 3 (September 11, 2020): 82. http://dx.doi.org/10.3390/act9030082.

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In this paper, a new analytical method using Lagrange equations for the analysis of magnetic levitation (MagLev) systems is proposed, using Thomson’s jumping ring experiment. The method establishes the dependence of the primary and induced currents, and also the equilibrium height of the levitating object on the input voltage through the mutual inductance of the system. The mutual inductance is calculated in two ways: (i) by employing analytical formula; (ii) through an improved semi-empirical formula based on both measurements and analytical results. The obtained MagLev model was analyzed both analytically and numerically. Analytical solutions to the resulting equations were found for the case of a dynamic equilibrium. The numerical results obtained for the dynamical model under transient operation show a close correspondence with the experimental results. The good precision of the analytical and numerical results demonstrates that the developed method can be effectively implemented.
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Parker, A. P., and X. Huang. "Autofrettage and Reautofrettage of a Spherical Pressure Vessel." Journal of Pressure Vessel Technology 129, no. 1 (March 10, 2006): 83–88. http://dx.doi.org/10.1115/1.2389020.

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There is a numerical procedure for modeling autofrettage of thick-walled cylinders that incorporates the Bauschinger effect as a function of prior plastic strain and Von Mises’ yield criterion. In this paper the numerical procedure is extended to solve the analogous problem of a spherical, thick walled steel vessel. An equivalent new analytical solution for the case of a spherical vessel is also formulated. The analytical and numerical solutions are shown to be in close agreement. It is demonstrated numerically that a reautofrettage procedure, previously proposed for cylindrical vessels, may be extremely beneficial for spherical vessels. Additional commentary is provided on the limitations of certain analytic solutions.
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Ebner, H. "THE ANALYTICAL PLOTTER AND NUMERICAL PHOTOGRAMMETRY." Photogrammetric Record 10, no. 58 (August 26, 2006): 409–20. http://dx.doi.org/10.1111/j.1477-9730.1981.tb00140.x.

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Vanden, Kirk J., and Paul D. Orkwis. "Comparison of numerical and analytical Jacobians." AIAA Journal 34, no. 6 (June 1996): 1125–29. http://dx.doi.org/10.2514/3.13202.

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Dissertations / Theses on the topic "Analytical and numerical"

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Topcu, Nagihan. "Numerical, Analytical And Experimental Analysis Of Indentation." Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12605942/index.pdf.

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Indentation is a practical and easy method, therefore, is a preferred method of material characterization. Main aim of this thesis study is to determine anisotropic properties of metals by indentation tests. The basic property of the indenter used in the finite element analyses and experiments is that it is specific to this process. Thesis includes studies on optimization of the indenter geometry, analyses of effects of friction coefficient, multiple indentations, tilting of the indenter and clamping of the specimen on force-displacements curves during indentation by finite element analyses. This study also includes finite element analyses of compression tests where these experiments have been necessary to prove anisotropic behavior of the specimen material. In addition to compression, tension tests are done to have a reference for indentation tests. On the other hand, the upper bound method which is an analytical solution is applied on the assumption of plane strain indentation.
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Hayes, John L. "A numerical analytical investigation of lee cyclogenesis." Thesis, Monterey, California. Naval Postgraduate School, 1985. http://hdl.handle.net/10945/21469.

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Caunt, Stuart Edward. "Analytical and numerical models of accretion disks." Thesis, University of Newcastle Upon Tyne, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.265485.

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Pagitz, Markus Emil. "Analytical and numerical studies of superpressure balloons." Thesis, University of Cambridge, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.611958.

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Driessen, Brian James. "Analytical and numerical studies in nonholonomic dynamical systems." Thesis, Georgia Institute of Technology, 1993. http://hdl.handle.net/1853/17338.

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Andrianov, Nikolai. "Analytical and numerical investigation of two-phase flows." [S.l. : s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=969695810.

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Nyqvist, Robert. "Algebraic Dynamical Systems, Analytical Results and Numerical Simulations." Doctoral thesis, Växjö : Växjö University Press, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-1142.

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Tomita, Yu. "Numerical and analytical studies of quantum error correction." Diss., Georgia Institute of Technology, 2014. http://hdl.handle.net/1853/53468.

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A reliable large-scale quantum computer, if built, can solve many real-life problems exponentially faster than the existing digital devices. The biggest obstacle to building one is that they are extremely sensitive and error-prone regardless of the selection of physical implementation. Both data storage and data manipulation require careful implementation and precise control due to its quantum mechanical nature. For the development of a practical and scalable computer, it is essential to identify possible quantum errors and reduce them throughout every layer of the hierarchy of quantum computation. In this dissertation, we present our investigation into new methods to reduce errors in quantum computers from three different directions: quantum memory, quantum control, and quantum error correcting codes. For quantum memory, we pursue the potential of the quantum equivalent of a magnetic hard drive using two-body-interaction structures in fractal dimensions. With regard to quantum control, we show that it is possible to arbitrarily reduce error when manipulating multiple quantum bits using a technique popular in nuclear magnetic resonance. Finally, we introduce an efficient tool to study quantum error correcting codes and present analysis of the codes' performance on model quantum architectures.
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Yi, Xianjie. "Numerical and analytical modeling of sanding onset prediction." Texas A&M University, 2003. http://hdl.handle.net/1969/369.

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Piret, Cecile. "Analytical and numerical advances in radial basis functions." Connect to online resource, 2008. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3303840.

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Books on the topic "Analytical and numerical"

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Chi-Tay, Tsai, and Masory Oren, eds. Numerical and analytical methods with MATLAB. Boca Raton, Fla: CRC Press, 2009.

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Partial differential equations: Analytical and numerical methods. 2nd ed. Philadelphia: Society for Industrial and Applied Mathematics, 2011.

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Analytical and numerical methods for Volterra equations. Philadelphia: SIAM, 1985.

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Wu, Jong-Shyong. Analytical and numerical methods for vibration analyses. Singapore: John Wiley & Sons Inc., 2013.

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Frauendiener, Jörg, Domenico Giulini, and Volker Perlick, eds. Analytical and Numerical Approaches to Mathematical Relativity. Berlin/Heidelberg: Springer-Verlag, 2006. http://dx.doi.org/10.1007/11550259.

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Frauendiener, Jörg, Domenico J. W. Giulini, and Volker Perlick, eds. Analytical and Numerical Approaches to Mathematical Relativity. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/b11550259.

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Linz, Peter. Analytical and numerical methods for Volterra equations. Philadelphia: SIAM, 1985.

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Analytical and numerical methods for pricing financial derivatives. Hauppauge, N.Y: Nova Science Publisher's, 2010.

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Hostetter, Gene H. Analytical, numerical, andcomputational methods for science and engineering. London: Prentice Hall, 1991.

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Emmrich, Etienne, and Petra Wittbold, eds. Analytical and Numerical Aspects of Partial Differential Equations. Berlin, New York: Walter de Gruyter, 2009. http://dx.doi.org/10.1515/9783110212105.

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Book chapters on the topic "Analytical and numerical"

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Kubiak, Tomasz. "Analytical–Numerical Method." In Static and Dynamic Buckling of Thin-Walled Plate Structures, 47–65. Heidelberg: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00654-3_3.

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Shingareva, Inna, and Carlos Lizárraga-Celaya. "Analytical-Numerical Approach." In Solving Nonlinear Partial Differential Equations with Maple and Mathematica, 305–24. Vienna: Springer Vienna, 2011. http://dx.doi.org/10.1007/978-3-7091-0517-7_7.

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Crighton, D. G., A. P. Dowling, J. E. Ffowcs Williams, M. Heckl, and F. G. Leppington. "Numerical Methods." In Modern Methods in Analytical Acoustics, 283–310. London: Springer London, 1992. http://dx.doi.org/10.1007/978-1-4471-0399-8_10.

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Abu el Ata, Nabil, and Annie Drucbert. "Analytical Versus Numerical Solutions." In Leading from Under the Sword of Damocles, 57–61. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-56300-7_8.

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Prinz, Heino. "Classical Analytical Solutions." In Numerical Methods for the Life Scientist, 15–29. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-20820-1_3.

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Fabien, Brian. "Numerical Solution of ODEs and DAEs." In Analytical System Dynamics, 1–59. Boston, MA: Springer US, 2008. http://dx.doi.org/10.1007/978-0-387-85605-6_5.

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Borri, M. "Numerical Approximations in Analytical Dynamics." In Applied Mathematics in Aerospace Science and Engineering, 323–61. Boston, MA: Springer US, 1994. http://dx.doi.org/10.1007/978-1-4757-9259-1_14.

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Ray, Santanu Saha, and Arun Kumar Gupta. "Numerous Analytical and Numerical Methods." In Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations, 1–22. Boca Raton : CRC Press, 2018.: Chapman and Hall/CRC, 2018. http://dx.doi.org/10.1201/9781315167183-1.

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Bajer, Czesław I., and Bartłomiej Dyniewicz. "Analytical Solutions." In Numerical Analysis of Vibrations of Structures under Moving Inertial Load, 21–30. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29548-5_2.

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Ochmann, M., and F. P. Mechel. "Analytical and Numerical Methods in Acoustics." In Formulas of Acoustics, 930–1023. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-07296-7_14.

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Conference papers on the topic "Analytical and numerical"

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"Analytical and numerical methods." In 2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED). IEEE, 2009. http://dx.doi.org/10.1109/diped.2009.5306947.

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"Analytical and numerical methods." In 2015 XXth IEEE International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED). IEEE, 2015. http://dx.doi.org/10.1109/diped.2015.7324276.

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"Analytical and Numerical Techniques." In 2018 XXIIIrd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED). IEEE, 2018. http://dx.doi.org/10.1109/diped.2018.8543134.

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"Analytical and numerical methods." In 2005 5th International Conference on Antenna Theory and Techniques. IEEE, 2005. http://dx.doi.org/10.1109/icatt.2005.1496998.

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"Analytical and numerical methods [breaker page]." In 2014 XIXth IEEE International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED). IEEE, 2014. http://dx.doi.org/10.1109/diped.2014.6958347.

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Guzman Villarroel, Flavia Mara, Vinicios Amaral De Azevedo, Gabriel Rabello, Mauro Bloch, and Euripedes Vargas. "Breakouts: Physical, Numerical and Analytical Modeling." In SPE EUROPEC/EAGE Annual Conference and Exhibition. Society of Petroleum Engineers, 2010. http://dx.doi.org/10.2118/131656-ms.

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"Analytical and numerical techniques [breaker page]." In 2019 XXIVth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED). IEEE, 2019. http://dx.doi.org/10.1109/diped.2019.8882583.

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Cheng, Yu, Guangzhi Chen, Xiang-hua Wang, and Shunchuan Yang. "Analytical Investigations on FDTD Numerical Dispersion." In 2020 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO). IEEE, 2020. http://dx.doi.org/10.1109/nemo49486.2020.9343614.

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Pach, F., and A. Gilicz. "Analytical and Numerical Simulation Well Test Models." In ECMOR V - 5th European Conference on the Mathematics of Oil Recovery. European Association of Geoscientists & Engineers, 1996. http://dx.doi.org/10.3997/2214-4609.201406897.

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"General antenna theory, numerical and analytical methods." In 2015 International Conference on Antenna Theory and Techniques (ICATT). IEEE, 2015. http://dx.doi.org/10.1109/icatt.2015.7136785.

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Reports on the topic "Analytical and numerical"

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Lax, P. Analytical and numerical methods; advanced computer concepts. Office of Scientific and Technical Information (OSTI), March 1991. http://dx.doi.org/10.2172/5532854.

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Criminale, W., and L. Adams. Analytical and numerical studies in flow development. Office of Scientific and Technical Information (OSTI), March 1990. http://dx.doi.org/10.2172/6996489.

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Chen, Zhen. An Analytical and Numerical Investigation of Failure Waves. Fort Belvoir, VA: Defense Technical Information Center, September 1999. http://dx.doi.org/10.21236/ada383402.

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Ewing, Richard E. Numerical and Analytical Methods in Nonlinear Partial Differential Equations. Fort Belvoir, VA: Defense Technical Information Center, April 1987. http://dx.doi.org/10.21236/ada185210.

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Freund, Henry P. Analytical and Numerical Analysis of Free-Electron Lasers - Lecture 3. Office of Scientific and Technical Information (OSTI), September 2013. http://dx.doi.org/10.2172/1091817.

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Meiron, D. I., and P. G. Saffman. Analytical and numerical analysis of finite amplitude Rayleigh-Taylor instability. Office of Scientific and Technical Information (OSTI), September 1987. http://dx.doi.org/10.2172/5585523.

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Batygin, Y., and T. Katayama. Analytical and Numerical Study of Spin Depolarization in Particle Collider. Office of Scientific and Technical Information (OSTI), November 1997. http://dx.doi.org/10.2172/1149849.

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Briggs, Michael J. Analytical and Numerical Models of the RIBS XM99 Ocean-Scale Prototype. Fort Belvoir, VA: Defense Technical Information Center, September 2001. http://dx.doi.org/10.21236/ada397637.

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Prinja, Anil K. Analytical and Numerical Solutions of Generalized Fokker-Planck Equations - Final Report. Office of Scientific and Technical Information (OSTI), December 2000. http://dx.doi.org/10.2172/782033.

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Kaurov, Alexander A. On Improving Analytical Models of Cosmic Reionization for Matching Numerical Simulations. Office of Scientific and Technical Information (OSTI), January 2016. http://dx.doi.org/10.2172/1258785.

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