Relevant bibliographies by topics / Orthogonal polynomials - Several variables

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

Academic literature on the topic 'Orthogonal polynomials - Several variables'

Author: Grafiati
Published: 4 June 2021
Last updated: 11 February 2022

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Journal articles on the topic "Orthogonal polynomials - Several variables"

1

Xu, Yuan. "Monomial orthogonal polynomials of several variables." Journal of Approximation Theory 133, no. 1 (2005): 1–37. http://dx.doi.org/10.1016/j.jat.2004.12.012.

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Orsansky, Pavol, Vladimir Guldan, and Helena Samajova. "Boundedness of orthogonal polynomials in several variables." International Journal of Mathematical Analysis 10 (2016): 117–26. http://dx.doi.org/10.12988/ijma.2016.510258.

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Gekhtman, M. I., and A. A. Kalyuzhny. "On the orthogonal polynomials in several variables." Integral Equations and Operator Theory 19, no. 4 (1994): 404–18. http://dx.doi.org/10.1007/bf01299841.

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Fernández, Lidia, Teresa E. Pérez, Miguel A. Piñar, and Yuan Xu. "Krall-type orthogonal polynomials in several variables." Journal of Computational and Applied Mathematics 233, no. 6 (2010): 1519–24. http://dx.doi.org/10.1016/j.cam.2009.02.067.

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Xu, Yuan. "On discrete orthogonal polynomials of several variables." Advances in Applied Mathematics 33, no. 3 (2004): 615–32. http://dx.doi.org/10.1016/j.aam.2004.03.002.

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Prizva, G. I. "Orthogonal polynomials of several discrete variables associated with negative polynomial distribution." Journal of Soviet Mathematics 66, no. 5 (1993): 2484–87. http://dx.doi.org/10.1007/bf01098764.

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Alfaro, Manuel, Ana Peña, Teresa E. Pérez, and M. Luisa Rezola. "On linearly related orthogonal polynomials in several variables." Numerical Algorithms 66, no. 3 (2013): 525–53. http://dx.doi.org/10.1007/s11075-013-9747-2.

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Gekhtman, M. I., and A. A. Kalyuzhnyi. "Spectral theory of orthogonal polynomials of several variables." Ukrainian Mathematical Journal 43, no. 10 (1991): 1334–37. http://dx.doi.org/10.1007/bf01061822.

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Lyskova, A. S. "On some properties of orthogonal polynomials in several variables." Russian Mathematical Surveys 52, no. 4 (1997): 840–41. http://dx.doi.org/10.1070/rm1997v052n04abeh002072.

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Iliev, Plamen, and Yuan Xu. "Discrete orthogonal polynomials and difference equations of several variables." Advances in Mathematics 212, no. 1 (2007): 1–36. http://dx.doi.org/10.1016/j.aim.2006.09.012.

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Dissertations / Theses on the topic "Orthogonal polynomials - Several variables"

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Niime, Fabio Nosse [UNESP]. "Polinômios ortogonais em várias variáveis." Universidade Estadual Paulista (UNESP), 2011. http://hdl.handle.net/11449/86506.

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Made available in DSpace on 2014-06-11T19:22:18Z (GMT). No. of bitstreams: 0 Previous issue date: 2011-02-24Bitstream added on 2014-06-13T20:28:32Z : No. of bitstreams: 1 niime_fn_me_sjrp.pdf: 457352 bytes, checksum: 318f01064234c003baca33cae4183d6d (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>O objetivo des trabalho é estudar os polinômios ortogonais em várias variáveis com relação a um funcional linear, L e suas propriedades análogas às dos polinômios ortogonais em uma variável, tais como: a relação de três termos, a relação de recorrência de três termos,
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Perret, Anthony. "Statistique d’extrêmes de variables aléatoires fortement corrélées." Thesis, Paris 11, 2015. http://www.theses.fr/2015PA112110/document.

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La statistique des valeurs extrêmes est une question majeure dans divers contextes scientifiques. Cependant, bien que la description de la statistique d'un extremum global soit certainement une caractéristique importante, celle-ci ne se concentre que sur une seule variable parmi un grand nombre de variables aléatoires. Une question naturelle qui se pose alors est la suivante: ces valeurs extrêmes sont-elles isolées, loin des autres variables ou bien au contraire existe-t-il un grand nombre d'autres variables proches de ces valeurs extrêmes ? Ces questions ont suscité l'étude de la densité d'ét
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Ren, Xuchun. "Novel computational methods for stochastic design optimization of high-dimensional complex systems." Diss., University of Iowa, 2015. https://ir.uiowa.edu/etd/1738.

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The primary objective of this study is to develop new computational methods for robust design optimization (RDO) and reliability-based design optimization (RBDO) of high-dimensional, complex engineering systems. Four major research directions, all anchored in polynomial dimensional decomposition (PDD), have been defined to meet the objective. They involve: (1) development of new sensitivity analysis methods for RDO and RBDO; (2) development of novel optimization methods for solving RDO problems; (3) development of novel optimization methods for solving RBDO problems; and (4) development of a n
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Wang, Dong. "Spiked models in Wishart ensemble /." 2008.

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Miña, Díaz Erwin. "Asymptotics for Faber polynomials and polynomials orthogonal over regions in the complex plane." Diss., 2006. http://etd.library.vanderbilt.edu/ETD-db/available/etd-06062006-132316/.

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Books on the topic "Orthogonal polynomials - Several variables"

1

Xu, Yuan. Common zeros of polynomials in several variables and higher dimensional quadrature. Longman Scientific & Technical, 1994.

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Xu, Yuan. Common zeros of polynomials in several variables and higher dimensional quadrature. Longman Scientific and Technical, 1994.

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Orthogonal polynomials in two variables. Gordon and Breach Science Publishers, 1999.

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Nikiforov, A. F. Klassicheskie ortogonalʹnye polinomy diskretnoĭ peremennoĭ. "Nauka", 1985.

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1968-, Arvesú Jorge, and Lopez Lagomasino Guillermo 1948-, eds. Recent advances in orthogonal polynomials, special functions, and their applications: 11th International Symposium on Orthogonal Polynomials, Special Functions, and Their Applications, August 29-September 2, 2011, Universidad Carlos III de Madrid, Leganes, Spain. American Mathematical Society, 2012.

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Saff, E. B., Douglas Patten Hardin, Brian Z. Simanek, and D. S. Lubinsky. Modern trends in constructive function theory: Conference in honor of Ed Saff's 70th birthday : constructive functions 2014, May 26-30, 2014, Vanderbilt University, Nashville, Tennessee. American Mathematical Society, 2016.

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Li, Weiping, and Shihshu Walter Wei. Geometry and topology of submanifolds and currents: 2013 Midwest Geometry Conference, October 19, 2013, Oklahoma State University, Stillwater, Oklahoma : 2012 Midwest Geometry Conference, May 12-13, 2012, University of Oklahoma, Norman, Oklahoma. American Mathematical Society, 2015.

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Milnor, John W. Dynamical systems (1984-2012). Edited by Bonifant Araceli 1963-. American Mathematical Society, 2014.

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International Conference on p-Adic Functional Analysis (11th 2010 Université Blaise Pascal). Advances in non-Archimedean analysis: Eleventh International Conference on p-Adic Functional Analysis, July 5-9 2010, Université Blaise Pascal, Clermont-Ferrand, France. Edited by Araujo-Gomez Jesus 1965-, Diarra B. (Bertin) 1944-, and Escassut Alain. American Mathematical Society, 2011.

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Xu, Yuan, and Charles F. Dunkl. Orthogonal Polynomials of Several Variables. Cambridge University Press, 2014.

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Book chapters on the topic "Orthogonal polynomials - Several variables"

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Gubareni, Nadiya. "Polynomials in Several Variables." In Introduction to Modern Algebra and its Applications. CRC Press, 2021. http://dx.doi.org/10.1201/9781003015482-8.

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Kuznetsov, Vadim B. "Orthogonal Polynomials and Separation of Variables." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-36716-1_5.

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Render, Hermann. "Nonstandard polynomials in several variables." In Advances in Analysis, Probability and Mathematical Physics. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8451-7_8.

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Lohner, Rudolf. "Precise Evaluation of Polynomials in Several Variables." In Computing Supplementum. Springer Vienna, 1988. http://dx.doi.org/10.1007/978-3-7091-6957-5_13.

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Rassias, Themistocles M. "A remark and problem for polynomials of several variables." In International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique. Birkhäuser Basel, 1992. http://dx.doi.org/10.1007/978-3-0348-7565-3_50.

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Malonek, H. R., and G. Tomaz. "Laguerre Polynomials in Several Hypercomplex Variables and Their Matrix Representation." In Computational Science and Its Applications - ICCSA 2011. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21931-3_21.

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Osilenker, Boris P. "The Representation of The Reproducing Kernel in Orthogonal Polynomials on Several Intervals." In Lie Groups and Lie Algebras. Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5258-7_10.

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"Summability of Orthogonal Expansions." In Orthogonal Polynomials of Several Variables. Cambridge University Press, 2001. http://dx.doi.org/10.1017/cbo9780511565717.008.

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"Orthogonal Polynomials of Several Variables." In Encyclopedia of Special Functions: The Askey-Bateman Project. Cambridge University Press, 2020. http://dx.doi.org/10.1017/9780511777165.003.

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"Preface." In Orthogonal Polynomials of Several Variables. Cambridge University Press, 2001. http://dx.doi.org/10.1017/cbo9780511565717.001.

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Conference papers on the topic "Orthogonal polynomials - Several variables"

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ACCARDI, LUIGI, and MARCOLINO NAHNI. "INTERACTING FOCK SPACES AND ORTHOGONAL POLYNOMIALS IN SEVERAL VARIABLES." In Proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812705242_0005.

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Kaltofen, Erich, and John May. "On approximate irreducibility of polynomials in several variables." In the 2003 international symposium. ACM Press, 2003. http://dx.doi.org/10.1145/860854.860893.

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Saghafi, Mehdi, and Harry Dankowicz. "Nondegenerate Continuation Problems for the Excitation Response of Nonlinear Beam Structures." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-13115.

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This paper investigates the dynamics of a slender beam subjected to transverse periodic excitation. Of particular interest is the formulation of nondegenerate continuation problems that may be analyzed numerically, in order to explore the parameter-dependence of the steady-state excitation response, while accounting for geometric nonlinearities. Several candidate formulations are presented, including finite-difference (FD) and finite-element (FE) discretizations of the governing scalar, integro-partial differential boundary-value problem (BVP), as well as of a corresponding first-order-in-spac
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Verschelde, Jan, and Genady Yoffe. "Evaluating Polynomials in Several Variables and their Derivatives on a GPU Computing Processor." In 2012 26th IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW). IEEE, 2012. http://dx.doi.org/10.1109/ipdpsw.2012.177.

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KISHKA, Z. M. G., and A. EL-SAYED. "ON THE EFFECTIVENESS OF BASIC SETS OF POLYNOMIALS OF SEVERAL COMPLEX VARIABLES IN ELLIPTICAL REGIONS." In Proceedings of the 3rd ISAAC Congress. World Scientific Publishing Company, 2003. http://dx.doi.org/10.1142/9789812794253_0032.

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Dessi, Daniele. "Reconstruction of the Experimental Slamming Force Distribution Based on POD." In ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/omae2013-11567.

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A new technique for determining the continuous hydrodynamic load distribution along a slender floating body on the basis of a small set of force data is presented. This technique is based on a combination of proper orthogonal decomposition and polynomial spline approximation under integral constraints. The input data are provided by the time-histories of the lumped vertical forces acting on several longitudinal portions (segments) of a segmented-hull model. The set of force data, obtained by subtracting from the total force the Froude-Krylov force, defines the vector process to which POD is ap
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Kumar, Pankaj, and Om P. Agrawal. "Numerical Scheme for the Solution of Fractional Differential Equations of Order Greater Than 1." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84493.

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This paper presents a numerical scheme for the solutions of Fractional Differential Equations (FDEs) of order α, 1 &amp;lt; α &amp;lt; 2 which have been expressed in terms of Caputo Fractional Derivative (FD). In this scheme, the properties of the Caputo derivative are used to reduce an FDE into a Volterra type integral equation. The entire domain is divided into several small domains, and the distribution of the unknown function over the domain is expressed in terms of the function values and its slopes at the node points. These approximations are then substituted into the Volterra type integ
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Lo, Chihsiung, and Panos Y. Papalambros. "A Deterministic Global Design Optimization Method for Nonconvex Generalized Polynomial Problems." In ASME 1990 Design Technical Conferences. American Society of Mechanical Engineers, 1990. http://dx.doi.org/10.1115/detc1990-0048.

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Abstract A new design optimization method is described for finding global solutions of models with a nonconvex objective function and nonlinear constraints. All functions are assumed to be generalized polynomials. By introducing new variables, the original model is transformed into one with a linear objective function, one convex and one reversed convex constraint. A two-phase algorithm that includes global feasible searches and local optimal searches is used for globally optimizing the transformed model. Several examples illustrate the method.
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Gadallah, Mohamed H. "On the Heuristics of Discrete Optimization." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/dac-21059.

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Abstract The importance of developing optimization techniques capable of tackling realistic engineering problems cannot be underestimated. In this study, a modification to the usual Branch and Bound algorithm is presented. This modification deals with the high dimensionality of linear integer problems in three steps. The first step, statistical design of experiments is used to detect the most and least important variables. The least important variables are assigned the maximum or minimum value according to the nature of original problem. The second step, the remaining variables are assigned to
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Lengani, D., D. Simoni, V. Yepmo, M. Ubaldi, P. Zunino, and F. Bertini. "Low Rank Education of Cascade Loss Sensitivity to Unsteady Parameters by Proper Orthogonal Decomposition." In ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/gt2020-15156.

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Abstract In the present work, Proper Orthogonal Decomposition (POD) has been applied to a large dataset describing the profile losses of Low Pressure Turbine (LPT) cascades, thus allowing: i) the identification of the most influencing parameters that affect the loss generation; ii) the identification of the minimum number of requested conditions useful to educate a model with a reduced number of data. The dataset is constituted by the total pressure loss coefficient distributions in the pitchwise direction. The experiments have been conducted varying the flow Reynolds number, the reduced frequ
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Reports on the topic "Orthogonal polynomials - Several variables"

1

Rajkovic, Predrag M., and Miomir S. Stankovic. The Zeros of Polynomials Orthogonal with respect to q-Integral on Several Intervals in the Complex Plane. GIQ, 2012. http://dx.doi.org/10.7546/giq-5-2004-178-188.

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