Relevant bibliographies by topics / Numerical computation

Contents

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

Academic literature on the topic 'Numerical computation'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Numerical computation"

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Smolensky, Paul. "Symbolic functions from neural computation." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 370, no. 1971 (2012): 3543–69. http://dx.doi.org/10.1098/rsta.2011.0334.

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Is thought computation over ideas? Turing, and many cognitive scientists since, have assumed so, and formulated computational systems in which meaningful concepts are encoded by symbols which are the objects of computation. Cognition has been carved into parts, each a function defined over such symbols. This paper reports on a research program aimed at computing these symbolic functions without computing over the symbols. Symbols are encoded as patterns of numerical activation over multiple abstract neurons, each neuron simultaneously contributing to the encoding of multiple symbols. Computati
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Ruhe, Axel, M. G. Cox, and S. Hammarling. "Reliable Numerical Computation." Mathematics of Computation 59, no. 199 (1992): 298. http://dx.doi.org/10.2307/2152999.

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Sofroniou, Mark, and Giulia Spaletta. "Precise numerical computation." Journal of Logic and Algebraic Programming 64, no. 1 (2005): 113–34. http://dx.doi.org/10.1016/j.jlap.2004.07.007.

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Alaa Ismail, Abdalla Mostafa Elmarhomy, Abd El-Aziz Morgan, and Ashraf Mostafa Hamed. "Numerical Modeling and Geometry Enhancement of a Reactive Silencer." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 106, no. 1 (2023): 147–57. http://dx.doi.org/10.37934/arfmts.106.1.147157.

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Internal combustion engines and blowers frequently utilize silencers to reduce exhaust noise. In the current paper, the transmission loss of reactive silencers is predicted using the plane wave decomposition method and a three-dimensional (3-D) time-domain computational fluid dynamics (CFD) approach. A mass-flow-inlet boundary condition is first used to perform a steady flow computation, which serves as an initial condition for the two subsequent unsteady flow computations. At the model's inlet, an impulse (acoustic excitation) is placed over the constant mass flow to perform the first unstabl
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Das, JN. "A Least Squares Computational Method for the Scattering Amplitude." Australian Journal of Physics 41, no. 1 (1988): 47. http://dx.doi.org/10.1071/ph880047.

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A new least squares computational method for the scattering amplitude is proposed. This may be applied without difficulty to atomic and other scattering computations. The approach is expected to give converged results of high accuracy and also to be free from major numerical instabilities. As an example a numerical computation is carried out following the method and some results are presented in partial support of the claim.
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Xiao, Shuangshuang, Kemin Li, Xiaohua Ding, and Tong Liu. "Numerical Computation of Homogeneous Slope Stability." Computational Intelligence and Neuroscience 2015 (2015): 1–10. http://dx.doi.org/10.1155/2015/802835.

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To simplify the computational process of homogeneous slope stability, improve computational accuracy, and find multiple potential slip surfaces of a complex geometric slope, this study utilized the limit equilibrium method to derive expression equations of overall and partial factors of safety. This study transformed the solution of the minimum factor of safety (FOS) to solving of a constrained nonlinear programming problem and applied an exhaustive method (EM) and particle swarm optimization algorithm (PSO) to this problem. In simple slope examples, the computational results using an EM and P
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Sathyan, Sabin, Ugur Aydin, and Anouar Belahcen. "Acoustic Noise Computation of Electrical Motors Using the Boundary Element Method." Energies 13, no. 1 (2020): 245. http://dx.doi.org/10.3390/en13010245.

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This paper presents a numerical method and computational results for acoustic noise of electromagnetic origin generated by an induction motor. The computation of noise incorporates three levels of numerical calculation steps, combining both the finite element method and boundary element method. The role of magnetic forces in the production of acoustic noise is established in the paper by showing the magneto-mechanical and vibro-acoustic pathway of energy. The conversion of electrical energy into acoustic energy in an electrical motor through electromagnetic, mechanical, or acoustic platforms i
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GUCKENHEIMER, JOHN, KATHLEEN HOFFMAN, and WARREN WECKESSER. "NUMERICAL COMPUTATION OF CANARDS." International Journal of Bifurcation and Chaos 10, no. 12 (2000): 2669–87. http://dx.doi.org/10.1142/s0218127400001742.

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Singularly perturbed systems of ordinary differential equations arise in many biological, physical and chemical systems. We present an example of a singularly perturbed system of ordinary differential equations that arises as a model of the electrical potential across the cell membrane of a neuron. We describe two periodic solutions of this example that were numerically computed using continuation of solutions of boundary value problems. One of these periodic orbits contains canards, trajectory segments that follow unstable portions of a slow manifold. We identify several mechanisms that lead
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Kim, Boram, Kwang Seok Yoon, and Hyung-Jun Kim. "GPU-Accelerated Laplace Equation Model Development Based on CUDA Fortran." Water 13, no. 23 (2021): 3435. http://dx.doi.org/10.3390/w13233435.

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In this study, a CUDA Fortran-based GPU-accelerated Laplace equation model was developed and applied to several cases. The Laplace equation is one of the equations that can physically analyze the groundwater flows, and is an equation that can provide analytical solutions. Such a numerical model requires a large amount of data to physically regenerate the flow with high accuracy, and requires computational time. These numerical models require a large amount of data to physically reproduce the flow with high accuracy and require computational time. As a way to shorten the computation time by app
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Feichtinger, Anna, Aleksander Makaruk, Ewa Weinmüller, Anton Friedl, and Michael Harasek. "Collocation Method for the Modeling of Membrane Gas Permeation Systems." International Journal of Nonlinear Sciences and Numerical Simulation 16, no. 3-4 (2015): 141–49. http://dx.doi.org/10.1515/ijnsns-2014-0001.

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AbstractIn this work, we describe a numerical method which enables an efficient computation of membrane gas permeation processes that involve multiple membrane stages and multiple gas components. The utilized numerical approach is a collocation method equipped with a grid adaptation strategy based on a dependable error estimate of the numerical approximation. The comparison of the results provided by the collocation method with those calculated from an experimentally validated finite difference method has demonstrated that the accuracy of both numerical approximations is practically the same.
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Dissertations / Theses on the topic "Numerical computation"

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Lesage, Pierre-Yves. "Numerical computation and software design." Thesis, Cranfield University, 1999. http://dspace.lib.cranfield.ac.uk/handle/1826/11134.

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The development of simulation tools is becoming an important area in industry, recently fostered by the tremendous improvements in computer hardware. Many physical problems can be simulated by being modelled by mathematical equations which can then be solved numerically. This thesis is concerned with the development of a Finite Difference solver for time dependent partial differential equations. The development involves a number of challenging requirements that the solver must meet: to have the capacity of solving conservation and non-conservation laws (using several numerical techniques), to
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Lesage, P.-Y. "Numerical computation and software design." Thesis, Cranfield University, 1999. http://dspace.lib.cranfield.ac.uk/handle/1826/11134.

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The development of simulation tools is becoming an important area in industry, recently fostered by the tremendous improvements in computer hardware. Many physical problems can be simulated by being modelled by mathematical equations which can then be solved numerically. This thesis is concerned with the development of a Finite Difference solver for time dependent partial differential equations. The development involves a number of challenging requirements that the solver must meet: to have the capacity of solving conservation and non-conservation laws (using several numerical techniques), to
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Nassiri, Masoud. "Numerical computation of shallow recirculating flow." Thesis, McGill University, 1994. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=68046.

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The recirculating flows behind a sudden expansion in an open channel are computed using three different turbulence models: (i) a standard single-length-scale $ kappa$-$ epsilon$ model, (ii) a two-length-scale $ kappa$-$ epsilon$, and (iii) a constant-eddy-viscosity model. The performance of these models is evaluated by comparing the numerical results with the experimental data obtained from the previous investigation.<br>The flow simulation is characterized by two basic dimensionless parameters: a turbulent Reynolds number, $Re sb{T},$ which defines the level of eddy viscosity, and a bed-frict
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Zerroukat, Mohamed. "Numerical computation of moving boundary phenomena." Thesis, University of Glasgow, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.285256.

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Romero, i. Sànchez David. "Numerical computation of invariant objects with wavelets." Doctoral thesis, Universitat Autònoma de Barcelona, 2015. http://hdl.handle.net/10803/395169.

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Bohigas, Nadal Oriol. "Numerical computation and avoidance of manipulator singularities." Doctoral thesis, Universitat Politècnica de Catalunya, 2013. http://hdl.handle.net/10803/117535.

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This thesis develops general solutions to two open problems of robot kinematics: the exhaustive computation of the singularity set of a manipulator, and the synthesis of singularity-free paths between given configurations. Obtaining proper solutions to these problems is crucial, because singularities generally pose problems to the normal operation of a robot and, thus, they should be taken into account before the actual construction of a prototype. The ability to compute the whole singularity set also provides rich information on the global motion capabilities of a manipulator. The projections
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Lin, Hong-Chia. "Topics in Numerical Computation of Compressible Flow." Thesis, Cranfield University, 1990. http://dspace.lib.cranfield.ac.uk/handle/1826/4555.

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This thesis aims to assist the development of a multiblock implicit Navier-Stokes code for hypersonic flow applications. There are mainly three topics, which concern the understanding of basic Riemann solvers, the implementing of implicit zonal method, and grid adaption for viscous flow. Three problems of Riemann solvers are investigated. The post-shock oscillation problem of slowly moving shocks is examined, especially for Roe's Riemann solver, and possible cures are suggested for both first and second order schemes. The carbuncle phenomenon associated with blunt body calculation is cured by
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Betcke, Timo. "Numerical computation of eigenfunctions of planar regions." Thesis, University of Oxford, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.426381.

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Prosser, Robert. "Numerical methods for the computation of combustion." Thesis, University of Cambridge, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.340975.

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Dougherty, Edward T. "Computation and Numerics in Neurostimulation." Diss., Virginia Tech, 2015. http://hdl.handle.net/10919/73350.

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Neurostimulation continues to demonstrate tremendous success as an intervention for neurodegenerative diseases, including Parkinson's disease, in addition to a range of other neurological and psychiatric disorders. In an effort to enhance the medical efficacy and comprehension of this form of brain therapy, modeling and computational simulation are regarded as valuable tools that enable in silico experiments for a range of neurostimulation research endeavours. To fully realize the capacities of neurostimulation simulations, several areas within computation and numerics need to be considered an
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Books on the topic "Numerical computation"

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Ueberhuber, Christoph W. Numerical Computation 2. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-59109-9.

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Ueberhuber, Christoph W. Numerical Computation 1. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-59118-1.

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G, Cox M., Hammarling S. J, and Wilkinson J. H, eds. Reliable numerical computation. Clarendon Press, 1990.

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Glassey, Robert. Numerical computation using C. Academic Press, 1993.

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Driscoll, Tobin A., and Richard J. Braun. Fundamentals of Numerical Computation. Society for Industrial and Applied Mathematics, 2017. http://dx.doi.org/10.1137/1.9781611975086.

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Yang, Tianruo, ed. Parallel Numerical Computation with Applications. Springer US, 1999. http://dx.doi.org/10.1007/978-1-4615-5205-5.

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Winkler, Franz, and Ulrich Langer, eds. Symbolic and Numerical Scientific Computation. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/3-540-45084-x.

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Thisted, Ronald A. Elements of statistical computing: Numerical computation. Chapman and Hall, 1988.

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Pozrikidis, C. Numerical computation in science and engineering. 2nd ed. Oxford University Press, 2008.

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James, M. L. Applied numerical methods for digital computation. 4th ed. HarperCollins College Publishers, 1993.

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Book chapters on the topic "Numerical computation"

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Touzani, Rachid, and Jacques Rappaz. "Numerical Methods." In Scientific Computation. Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-0202-8_7.

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Harris, John W., and Horst Stocker. "Numerical Computation (arithmetics and numerics)." In Handbook of Mathematics and Computational Science. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-5317-4_1.

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Hout, Sam A. "Numerical Methods—Computation." In Advanced Manufacturing Operations Technologies. CRC Press, 2023. http://dx.doi.org/10.1201/9781003384199-16.

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Ueberhuber, Christoph W. "Numerical Data and Numerical Operations." In Numerical Computation 1. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-59118-1_4.

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Ueberhuber, Christoph W. "Numerical Integration." In Numerical Computation 2. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-59109-9_3.

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Ueberhuber, Christoph W. "Numerical Algorithms." In Numerical Computation 1. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-59118-1_5.

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Ueberhuber, Christoph W. "Numerical Programs." In Numerical Computation 1. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-59118-1_6.

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Cohen, Gary C. "Numerical Dispersion and Anisotropy." In Scientific Computation. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04823-8_7.

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Ehold, Harald J., Wilfried N. Gansterer, Dieter F. Kvasnicka, and Christoph W. Ueberhuber. "HPF and Numerical Libraries." In Parallel Computation. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-49164-3_14.

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Wang, Liang, and Jianxin Zhao. "Computation Graph." In Architecture of Advanced Numerical Analysis Systems. Apress, 2022. http://dx.doi.org/10.1007/978-1-4842-8853-5_6.

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AbstractA computation graph is a basic theoretical tool that underlines modern deep learning libraries. It is also an important component in Owl. This chapter first gives a bird’s-eye view on the computation graph in Owl and its importance in computing. We then demonstrate how to use it in Owl with some examples. Then we will continue to cover the design and implementation details of the computation graph module and how it is fitted into Owl’s functor stack.
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Conference papers on the topic "Numerical computation"

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Kuhn, Alexander, Benjamin Kutz, Tobias Günther, and Andreas Rumpf. "Numerical Examination of a Model Rotor in Brownout Conditions." In Vertical Flight Society 70th Annual Forum & Technology Display. The Vertical Flight Society, 2014. http://dx.doi.org/10.4050/f-0070-2014-9437.

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In the present study a flow simulation of a rotor hovering in ground effect was performed and compared to an experimental study from literature. Different reconstruction schemes in the finite volume flow solver were employed, leading to a computation of second and fifth order accuracy in space. The higher order computation was also performed on different grids with six and 23 million grid cells. The integral simulation values were compared to the experimental results and other literature, showing good agreement. Further on, the vortex conservation of the several schemes was compared. The highe
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Zhi, Lihong. "Numerical optimization in hybrid symbolic-numeric computation." In ISSAC07: International Symposium on Symbolic and Algebraic Computation. ACM, 2007. http://dx.doi.org/10.1145/1277500.1277507.

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Žunić, Dragiša, and Pierre Lescanne. "Classical computation with negation." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756169.

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Nakakura, Kansaku, and Sunao Murashige. "Numerical Computation of the Mapping Degree using Computational Homology." In 12th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN 2006). IEEE, 2006. http://dx.doi.org/10.1109/scan.2006.32.

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Janovská, Drahoslava, Vladimír Janovský, and Kunio Tanabe. "Computation of Pseudospectra via a Continuation." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2990916.

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Darulova, Eva, and Viktor Kuncak. "Trustworthy numerical computation in Scala." In the 2011 ACM international conference. ACM Press, 2011. http://dx.doi.org/10.1145/2048066.2048094.

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Bohigas, Oriol, Dimiter Zlatanov, Lluis Ros, Montserrat Manubens, and Josep M. Porta. "Numerical computation of manipulator singularities." In 2012 IEEE International Conference on Robotics and Automation (ICRA). IEEE, 2012. http://dx.doi.org/10.1109/icra.2012.6225083.

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Lescanne, Pierre, Dragiša Žunić, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Classical Proofs’ Essence and Diagrammatic Computation." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636852.

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Singer, Saša, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Accurate Computation of Gaussian Quadrature for Tension Powers." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790194.

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Aceto, Lidia, Alessandra Sestini, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "On the Numerical Computation of the LMM's Coefficients." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790217.

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Reports on the topic "Numerical computation"

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Golub, Gene H. Computational Equipment for the Development of Numerical Algorithms Computation. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada226702.

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Menikoff, Ralph. Numerical computation of Pop plot. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1209280.

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MacCormack, R. W. Numerical Computation in MagnetoFluid Dynamics. Defense Technical Information Center, 2004. http://dx.doi.org/10.21236/ada427194.

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Schnabel, R. Concurrent Algorithms for Numerical Computation on Hypercube Computer. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada195502.

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Skeel, R. D. Safety in numbers: The boundless errors of numerical computation. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/6245350.

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Hou, Thomas Y., and Philippe G. LeFloch. Numerical Methods for the Computation of Propagating Phase Boundaries. Defense Technical Information Center, 1997. http://dx.doi.org/10.21236/ada340390.

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D'Ippolito, D. A., and J. R. Myra. Numerical Computation of Wave-Plasma Interactions in Multi-Dimensional Systems. Office of Scientific and Technical Information (OSTI), 2005. http://dx.doi.org/10.2172/837006.

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Chase, Ronald, H. B. Wallace, and Thomas Blalock. Numerical Computation of the Radar Cross Section of the ZSU-23-4. Defense Technical Information Center, 1999. http://dx.doi.org/10.21236/ada363007.

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French, Donald A. Numerical Analysis and Computation of Nonlinear Partial Differential Equations from Applied Mathematics. Defense Technical Information Center, 1993. http://dx.doi.org/10.21236/ada275582.

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French, Donald A. Numerical Analysis and Computation of Nonlinear Partial Differential Equations from Applied Mathematics. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada231188.

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