Academic literature on the topic 'Numerical Analysis and Computation'

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Journal articles on the topic "Numerical Analysis and Computation"

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Williamson, Alan G., J. Murphy, D. Ridout, and Brigid McShane. "Numerical Analysis, Algorithms and Computation." Mathematical Gazette 73, no. 465 (1989): 250. http://dx.doi.org/10.2307/3618471.

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López-Gómez, Julián, Marcela Molina-Meyer, and Mónica Villarreal. "Numerical Computation of Coexistence States." SIAM Journal on Numerical Analysis 29, no. 4 (1992): 1074–92. http://dx.doi.org/10.1137/0729065.

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Higham, N. J. "Numerical Computation: Methods, Software, And Analysis." IEEE Computational Science and Engineering 5, no. 1 (1998): 79. http://dx.doi.org/10.1109/mcse.1998.660318.

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Bini, Dario, Khalide Jbilou, Marilena Mitrouli, and Lothar Reichel. "Numerical Analysis and Scientific Computation (NASCA18)." Journal of Computational and Applied Mathematics 373 (August 2020): 112612. http://dx.doi.org/10.1016/j.cam.2019.112612.

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Sheintuch, Moshe. "Numerical approaches for computation of fronts." Numerical Methods for Partial Differential Equations 6, no. 1 (1990): 43–58. http://dx.doi.org/10.1002/num.1690060104.

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Piqueras, M. A., R. Company, and L. Jódar. "Stable Numerical Solutions Preserving Qualitative Properties of Nonlocal Biological Dynamic Problems." Abstract and Applied Analysis 2019 (July 1, 2019): 1–7. http://dx.doi.org/10.1155/2019/5787329.

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This paper deals with solving numerically partial integrodifferential equations appearing in biological dynamics models when nonlocal interaction phenomenon is considered. An explicit finite difference scheme is proposed to get a numerical solution preserving qualitative properties of the solution. Gauss quadrature rules are used for the computation of the integral part of the equation taking advantage of its accuracy and low computational cost. Numerical analysis including consistency, stability, and positivity is included as well as numerical examples illustrating the efficiency of the propo
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Schreiber, Robert, and Beresford Parlett. "Block Reflectors: Theory and Computation." SIAM Journal on Numerical Analysis 25, no. 1 (1988): 189–205. http://dx.doi.org/10.1137/0725014.

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Dolzmann, Georg. "Numerical Computation of Rank-One Convex Envelopes." SIAM Journal on Numerical Analysis 36, no. 5 (1999): 1621–35. http://dx.doi.org/10.1137/s0036142997325581.

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Weideman, J. A. C. "Computation of the Complex Error Function." SIAM Journal on Numerical Analysis 31, no. 5 (1994): 1497–518. http://dx.doi.org/10.1137/0731077.

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Dieci, Luca, and Erik S. Van Vleck. "Lyapunov Spectral Intervals: Theory and Computation." SIAM Journal on Numerical Analysis 40, no. 2 (2002): 516–42. http://dx.doi.org/10.1137/s0036142901392304.

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Dissertations / Theses on the topic "Numerical Analysis and Computation"

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Motamed, Mohammad. "Topics in Analysis and Computation of Linear Wave Propagation." Doctoral thesis, Stockhollm : Numerical Analysis, Kungliga tekniska högskolan, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4715.

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Geçgel, Murat. "Parallel, navier-stokes computation of the flowfield of a hovering helicopter rotor." Ankara : METU, 2003. http://etd.lib.metu.edu.tr/upload/12604807/index.pdf.

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Thesis (M.S.)--Middle East Technical University, 2003.<br>Keywords: Rotary wing, thin₆layer Navier₆Stokes equations, finite volume method, structured grid, parallel processing, MPI, blade₆vortex interactions, flat plate.
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Zhou, Jian Ming. "A multi-grid method for computation of film cooling." Thesis, University of British Columbia, 1990. http://hdl.handle.net/2429/29414.

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This thesis presents a multi-grid scheme applied to the solution of transport equations in turbulent flow associated with heat transfer. The multi-grid scheme is then applied to flow which occurs in the film cooling of turbine blades. The governing equations are discretized on a staggered grid with the hybrid differencing scheme. The momentum and continuity equations are solved by a nonlinear full multi-grid scheme with the SIMPLE algorithm as a relaxation smoother. The turbulence k — Є equations and the thermal energy equation are solved on each grid without multi-grid correction. Observatio
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Stewart, Dawn L. "Numerical Methods for Accurate Computation of Design Sensitivities." Diss., Virginia Tech, 1998. http://hdl.handle.net/10919/30561.

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This work is concerned with the development of computational methods for approximating sensitivities of solutions to boundary value problems. We focus on the continuous sensitivity equation method and investigate the application of adaptive meshing and smoothing projection techniques to enhance the basic scheme. The fundamental ideas are first developed for a one dimensional problem and then extended to 2-D flow problems governed by the incompressible Navier-Stokes equations. Numerical experiments are conducted to test the algorithms and to investigate the benefits of adaptivity an
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Harb, Ammar. "Discrete Stability of DPG Methods." PDXScholar, 2016. http://pdxscholar.library.pdx.edu/open_access_etds/2916.

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This dissertation presents a duality theorem of the Aubin-Nitsche type for discontinuous Petrov Galerkin (DPG) methods. This explains the numerically observed higher convergence rates in weaker norms. Considering the specific example of the mild-weak (or primal) DPG method for the Laplace equation, two further results are obtained. First, for triangular meshes, the DPG method continues to be solvable even when the test space degree is reduced, provided it is odd. Second, a non-conforming method of analysis is developed to explain the numerically observed convergence rates for a test space of r
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Vasilevskaya, Elizaveta. "Open periodic waveguides : Theory and computation." Thesis, Sorbonne Paris Cité, 2016. http://www.theses.fr/2016USPCD008/document.

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Cette thèse porte sur la propagation des ondes acoustiques dans des milieux périodiques.Ces milieux ont des propriétés remarquables car le spectre associée à l’opérateur d’ondesdans ces milieux a une structure de bandes : il existe des plages de fréquences danslesquelles les ondes monochromatiques ne se propagent pas. Plus intéressant encore, enintroduisant des défauts linéiques dans ce type de milieux, on peut créer des modes guidésà l’intérieur de ces bandes de fréquences interdites. Dans ce manuscrit nous montrons qu’ilest possible de créer de tels modes guidés dans le cas de milieux périod
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Song, Weihong. "A real space approach to LEED computation with flexible local mesh refinement." Click to view the E-thesis via HKUTO, 2004. http://sunzi.lib.hku.hk/hkuto/record/B39849004.

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Song, Weihong, and 宋慰鴻. "A real space approach to LEED computation with flexible local mesh refinement." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2004. http://hub.hku.hk/bib/B39849004.

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Austin, Anthony P. "Some new results on, and applications of, interpolation in numerical computation." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:11c16937-4a59-494d-a06f-6d27b634e2f3.

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This thesis discusses several topics related to interpolation and how it is used in numerical analysis. It begins with an overview of the aspects of interpolation theory that are relevant to the discussion at hand before presenting three new contributions to the field. The first new result is a detailed error analysis of the barycentric formula for trigonometric interpolation in equally-spaced points. We show that, unlike the barycentric formula for polynomial interpolation in Chebyshev points (and contrary to the main view in the literature), this formula is not always stable. We demonstrate
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Shaw, Jeremy A. "Computational Algorithms for Improved Representation of the Model Error Covariance in Weak-Constraint 4D-Var." PDXScholar, 2017. https://pdxscholar.library.pdx.edu/open_access_etds/3473.

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Four-dimensional variational data assimilation (4D-Var) provides an estimate to the state of a dynamical system through the minimization of a cost functional that measures the distance to a prior state (background) estimate and observations over a time window. The analysis fit to each information input component is determined by the specification of the error covariance matrices in the data assimilation system (DAS). Weak-constraint 4D-Var (w4D-Var) provides a theoretical framework to account for modeling errors in the analysis scheme. In addition to the specification of the background error c
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Books on the topic "Numerical Analysis and Computation"

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

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Numerical computation: Methods, software, and analysis. Springer, 1997.

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K, Jain M. Numerical methods for scientific and engineering computation. Wiley, 1985.

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K, Iyengar S. R., and Jain R. K, eds. Numerical methods for scientific and engineering computation. Wiley Eastern, 1985.

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Gasquet, Claude. Fourier analysis and applications: Filtering, numerical computation, wavelets. Springer, 1999.

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Gasquet, C. Fourier analysis and applications: Filtering, numerical computation, wavelets. Springer, 1999.

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1964-, Hohmann Andreas, ed. Numerical analysis: A first course in scientific computation. W. de Gruyter, 1995.

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Steele, Charles W. Numerical computation of electric and magnetic fields. 2nd ed. Chapman & Hall, 1997.

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Steele, Charles W. Numerical computation of electric and magnetic fields. Van Nostrand Reinhold, 1987.

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service), SpringerLink (Online, ed. Numerical Analysis. Springer Science+Business Media, LLC, 2012.

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Book chapters on the topic "Numerical Analysis and Computation"

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Gautschi, Walter. "Orthogonality — Conventional and Unconventional — In Numerical Analysis." In Computation and Control. Birkhäuser Boston, 1989. http://dx.doi.org/10.1007/978-1-4612-3704-4_5.

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Iserles, Arieh. "Numerical Analysis." In Encyclopedia of Applied and Computational Mathematics. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-540-70529-1_285.

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Ariel, Gil, Björn Engquist, and Yen-Hsi Richard Tsai. "Oscillatory Systems with Three Separated Time Scales: Analysis and Computation." In Numerical Analysis of Multiscale Computations. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21943-6_2.

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Heinrich, Stefan. "Efficiency of Monte Carlo algorithms in numerical analysis." In Fundamentals of Computation Theory. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/3-540-54458-5_47.

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Carpentier, M. P. "Computation of the Index of an Analytic Function." In Numerical Integration. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3889-2_6.

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Yang, Tianruo, and Hai-Xiang Lin. "Theoretical Performance Analysis of the IQMR Method on Distributed Memory Computers." In Parallel Numerical Computation with Applications. Springer US, 1999. http://dx.doi.org/10.1007/978-1-4615-5205-5_7.

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Römisch, Werner, and Thomas Zeugmann. "Numerical Solution of Ordinary Differential Equations." In Mathematical Analysis and the Mathematics of Computation. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-42755-3_13.

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Saha Ray, Santanu. "Errors in Numerical Computations." In Numerical Analysis with Algorithms and Programming. Chapman and Hall/CRC, 2018. http://dx.doi.org/10.1201/9781315369174-1.

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Samuel, Shikaa, Vinod Gill, Devendra Kumar, and Yudhveer Singh. "Numerical Study of Effects of Adrenal Hormones on Lymphocytes." In Mathematical Modelling, Applied Analysis and Computation. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-9608-3_18.

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Hereman, W., J. Sanders, J. Sayers, and J. Wang. "Symbolic computation of polynomial conserved densities, generalized symmetries, and recursion operators for nonlinear differential-difference equations." In Group Theory and Numerical Analysis. American Mathematical Society, 2005. http://dx.doi.org/10.1090/crmp/039/10.

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Conference papers on the topic "Numerical Analysis and Computation"

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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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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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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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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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Khoromskij, B. N., and A. Litvinenko. "Data Sparse Computation of the Karhunen‐Loève Expansion." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2990920.

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Lamour, René, Francesca Mazzia, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Computation of Consistent Initial Values for Nonlinear Index 3 DAEs." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790220.

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Díaz, R. Durán, and J. Muñoz Masqué. "Algorithmic and Experimental Computation of Higher‐Order Safe Primes." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2990883.

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da Costa, F. P., and M. Grinfeld. "Minisymposium on Computation and Analysis in Coagulation‐Fragmentation Equations." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2991080.

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Cooper, S. Barry. "From natural philosophy to computation, and back again." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756208.

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Reports on the topic "Numerical Analysis and Computation"

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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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Ihlenburg, Frank, and Ivo Babuska. Dispersion Analysis and Error Estimation of Galerkin Finite Element Methods for the Numerical Computation of Waves. Defense Technical Information Center, 1994. http://dx.doi.org/10.21236/ada290296.

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Sakagawa, Keiji, Hideto Yoshitake, and Eiji Ihara. Computational Fluid Dynamics for Design of Motorcycles (Numerical Analysis of Coolant Flow and Aerodynamics). SAE International, 2005. http://dx.doi.org/10.4271/2005-32-0033.

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Cary, John R. FINAL Report on Analysis and direct numerical simulation of RF heating processes and advanced computational methods for fusion application. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1170537.

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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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Patel, Reena, David Thompson, Guillermo Riveros, Wayne Hodo, John Peters, and Felipe Acosta. Dimensional analysis of structural response in complex biological structures. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/41082.

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The solution to many engineering problems is obtained through the combination of analytical, computational and experimental methods. In many cases, cost or size constraints limit testing of full-scale articles. Similitude allows observations made in the laboratory to be used to extrapolate the behavior to full-scale system by establishing relationships between the results obtained in a scaled experiment and those anticipated for the full-scale prototype. This paper describes the application of the Buckingham Pi theorem to develop a set of non-dimensional parameters that are appropriate for des
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Heymsfield, Ernie, and Jeb Tingle. State of the practice in pavement structural design/analysis codes relevant to airfield pavement design. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/40542.

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An airfield pavement structure is designed to support aircraft live loads for a specified pavement design life. Computer codes are available to assist the engineer in designing an airfield pavement structure. Pavement structural design is generally a function of five criteria: the pavement structural configuration, materials, the applied loading, ambient conditions, and how pavement failure is defined. The two typical types of pavement structures, rigid and flexible, provide load support in fundamentally different ways and develop different stress distributions at the pavement – base interface
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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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