Academic literature on the topic 'Gauss points'

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Journal articles on the topic "Gauss points"

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Gautschi, Walter, and Shikang Li. "Gauss—Radau and Gauss—Lobatto quadratures with double end points." Journal of Computational and Applied Mathematics 34, no. 3 (1991): 343–60. http://dx.doi.org/10.1016/0377-0427(91)90094-z.

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Mai, Heng. "Convergence for the optimal control problems using collocation at Legendre-Gauss points." Transactions of the Institute of Measurement and Control 44, no. 6 (2021): 1263–74. http://dx.doi.org/10.1177/01423312211043335.

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The convergence of the novel Legendre-Gauss method is established for solving a continuous optimal control problem using collocation at Legendre-Gauss points. The method allows for changes in the number of Legendre-Gauss points to meet the error tolerance. The continuous optimal control problem is first discretized into a nonlinear programming problem at Gauss collocations by the Legendre-Gauss method. Subsequently, we prove the convergence of the Legendre-Gauss algorithm under the assumption that the continuous optimal control problem has a smooth solution. Compared with those of the shooting
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Peng, Lijun, Xiaojun Duan, and Jubo Zhu. "A New Sparse Gauss-Hermite Cubature Rule Based on Relative-Weight-Ratios for Bearing-Ranging Target Tracking." Modelling and Simulation in Engineering 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/2783781.

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A new sparse Gauss-Hermite cubature rule is designed to avoid dimension explosion caused by the traditional full tensor-product based Gauss-Hermite cubature rule. Although Smolyak’s quadrature rule can successfully generate sparse cubature points for high dimensional integral, it has a potential drawback that some cubature points generated by Smolyak’s rule have negative weights, which may result in instability for the computation. A relative-weight-ratio criterion based sparse Gauss-Hermite rule is presented in this paper, in which cubature points are kept symmetric in the input space and cor
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Kwon, Young-Doo, Soon-Bum Kwon, Bo-Kyung Shim, and Hyun-Wook Kwon. "Comprehensive Interpretation of a Three-Point Gauss Quadrature with Variable Sampling Points and Its Application to Integration for Discrete Data." Journal of Applied Mathematics 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/471731.

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This study examined the characteristics of a variable three-point Gauss quadrature using a variable set of weighting factors and corresponding optimal sampling points. The major findings were as follows. The one-point, two-point, and three-point Gauss quadratures that adopt the Legendre sampling points and the well-known Simpson’s 1/3 rule were found to be special cases of the variable three-point Gauss quadrature. In addition, the three-point Gauss quadrature may have out-of-domain sampling points beyond the domain end points. By applying the quadratically extrapolated integrals and nonlinear
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Li, Mingwu, Haijun Peng, and Zhigang Wu. "Symplectic Irregular Interpolation Algorithms for Optimal Control Problems." International Journal of Computational Methods 12, no. 06 (2015): 1550040. http://dx.doi.org/10.1142/s0219876215500401.

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Symplectic numerical methods for optimal control problems with irregular interpolation schemes are developed and the comparisons between irregular interpolation schemes and equidistant scheme are made in this paper. The irregular interpolation points, which are the collocation points usually adopted by pseudospectral (PS) methods, such as Legendre–Gauss, Legendre–Gauss–Radau, Legendre–Gauss–Lobatto and Chebyshev–Gauss–Lobatto points, are taken into consideration in this study. The symplectic numerical method with irregular points is proposed firstly. Then, several examples with different compl
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Bos, L., M. A. Taylor, and B. A. Wingate. "Tensor product Gauss-Lobatto points are Fekete points for the cube." Mathematics of Computation 70, no. 236 (2000): 1543–48. http://dx.doi.org/10.1090/s0025-5718-00-01262-x.

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Liu, Xi Wen, and Chao Ying Liu. "An Optional Gauss Filter Image Denoising Method Based on Difference Image Fast Fuzzy Clustering." Applied Mechanics and Materials 411-414 (September 2013): 1348–52. http://dx.doi.org/10.4028/www.scientific.net/amm.411-414.1348.

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Gaussian filtering algorithm has the defect that it will cause a blur at the image edges, therefore, an optional Gauss filter denoising method based on difference image fast fuzzy clustering is proposed. In this method, Gauss filtered image is firstly calculated, the difference image between the original image and the Gauss filtered image is acquired hereafter; and then fast FCM clustering of the Gauss filter image is carried out, the image histogram frequencies are taken as weighting coefficients of objective function when clustering, therefore the noise points of the original image are gotte
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Yi, Shi-Chao, Fu-jun Chen, and Lin-Quan Yao. "Radial Basis Point Interpolation Method with Reordering Gauss Domains for 2D Plane Problems." Journal of Applied Mathematics 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/219538.

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We present novel Gauss integration schemes with radial basis point interpolation method (RPIM). These techniques define new Gauss integration scheme, researching Gauss points (RGD), and reconstructing Gauss domain (RGD), respectively. The developments lead to a curtailment of the elapsed CPU time without loss of the accuracy. Numerical results show that the schemes reduce the computational time to 25% or less in general.
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Demirci Akarsu, Emek. "Short incomplete Gauss sums and rational points on metaplectic horocycles." International Journal of Number Theory 10, no. 06 (2014): 1553–76. http://dx.doi.org/10.1142/s1793042114500444.

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In this paper, we investigate the limiting behavior of short incomplete Gauss sums at random argument as the number of terms goes to infinity. We prove that the limit distribution is given by the distribution of theta sums and differs from the limit law for long Gauss sums studied by the author and Marklof. The key ingredient in the proof is an equidistribution theorem for rational points on horocycles in the metaplectic cover of SL(2, ℝ).
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Mihic, Ljubica, Aleksandar Pejcev, and Miodrag Spalevic. "Error bounds for Gauss-Lobatto quadrature formula with multiple end points with Chebyshev weight function of the third and the fourth kind." Filomat 30, no. 1 (2016): 231–39. http://dx.doi.org/10.2298/fil1601231m.

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For analytic functions the remainder terms of quadrature formulae can be represented as a contour integral with a complex kernel. We study the kernel, on elliptic contours with foci at the points -+1, for Gauss-Lobatto quadrature formula with multiple end points with Chebyshev weight function of the third and the fourth kind. Starting from the explicit expression of the corresponding kernel, derived by Gautschi and Li, we determine the locations on the ellipses where maximum modulus of the kernel is attained. The obtained values confirm the corresponding conjectured values given by Gautschi an
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Dissertations / Theses on the topic "Gauss points"

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Akarsu, Emek Demirci. "Rational points on horocycles and incomplete Gauss sums." Thesis, University of Bristol, 2014. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.652044.

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This thesis studies the connection between the limiting distributions of rational points on horocyle flows and the value distribution of incomplete Gauss sums. A key property of the horocycle flow on a finite-area hyperbolic surface is that long closed horocycles are uniformly distributed. In this thesis we embed rational points on such horocycles on the modular surface and investigate their equidistribution properties. We later extend this study to the metaplectic cover of the modular surface. On the other hand, it is well known that the classical Gauss sums can be evaluated in closed form de
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Garcia, Maxine Patricia. "Collocation methods for mixed order boundary value problems." Thesis, Imperial College London, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.322404.

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Pujet, Alphonse Christophe. "Des quadratures Suivi de Sur les mouvements simultanés d'un système de points matériels assujettis à rester constamment dans un plan passant par l'origine des coordonnées /." Paris : Bibliothèque universitaire Pierre et Marie Curie (BUPMC), 2009. http://jubil.upmc.fr/sdx/pl/toc.xsp?id=TH_000277_001&fmt=upmc&idtoc=TH_000277_001-pleadetoc&base=fa.

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Coatney, Ryan D. "Mean Square Estimate for Primitive Lattice Points in Convex Planar Domains." BYU ScholarsArchive, 2011. https://scholarsarchive.byu.edu/etd/2501.

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The Gauss circle problem in classical number theory concerns the estimation of N(x) = { (m1;m2) in ZxZ : m1^2 + m2^2 <= x }, the number of integer lattice points inside a circle of radius sqrt(x). Gauss showed that P(x) = N(x)- pi * x satisfi es P(x) = O(sqrt(x)). Later Hardy and Landau independently proved that P(x) = Omega_(x1=4(log x)1=4). It is conjectured that inf{e in R : P(x) = O(x^e )}= 1/4. I. K atai showed that the integral from 0 to X of |P(x)|^2 dx = X^(3/2) + O(X(logX)^2). Similar results to those of the circle have been obtained for regions D in R^2 which contain the origin and w
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García, Monera María. "r-critical points and Taylor expansion of the exponential map, for smooth immersions in Rk+n." Doctoral thesis, Universitat Politècnica de València, 2015. http://hdl.handle.net/10251/50935.

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[EN] Classically, the study of the contact with hyperplanes and hyperspheres has been realized by using the family of height and distance squared functions. On the first part of the thesis, we analyze the Taylor expansion of the exponential map up to order three of a submanifold $M$ immersed in $\r n.$ Our main goal is to show its usefulness for the description of special contacts of the submanifolds with geometrical models. As we analyze the contacts of high order, the complexity of the calculations increases. In this work, through the Taylor expansion of the exponential map, we characterize
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Silva, Vagner Luiz da. "Medidas de lente térmica em vidros borossilicato com pontos quânticos de CdTe." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/277353.

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Orientador: Antonio Manoel Mansanares<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Fisica Gleb Wataghin<br>Made available in DSpace on 2018-08-05T12:36:29Z (GMT). No. of bitstreams: 1 Silva_VagnerLuizda_M.pdf: 2632810 bytes, checksum: 349b270849e09c9dfcac5d7edfeefa03 (MD5) Previous issue date: 2005<br>Resumo: Os vidros dopados com semicondutores são objeto de grande interesse como materiais ópticos não lineares e estudos intensivos acerca dos efeitos de confinamento quântico e não linearidade ótica tem sido realizados. Apesar do grande interesse nas propriedade
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Mann, Etienne. "Cohomologie quantique orbifolde des espaces projectifs à poids." Phd thesis, Université Louis Pasteur - Strasbourg I, 2005. http://tel.archives-ouvertes.fr/tel-00011651.

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En 2001, Barannikov a montré que la variété de Frobenius provenant de la cohomologie quantique de l'espace projectif complexe est isomorphe à la variété le Frobenius associée à un polynôme de Laurent. <br /> <br /> L'objectif de cette thèse est de généraliser ce résultat. Plus précisément, nous montrons, modulo une conjecture sur la valeur de certains invariants de Gromov-Witten orbifold, que la structure de Frobenius obtenue sur la cohomologie quantique orbifolde de l'espace projectif à poids est isomorphe à celle obtenue à partir d'un certain polynôme de Laurent.
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Forsberg, Timmy. "The Point-Split Method and the Linking Number of Space Curves." Thesis, Uppsala universitet, Teoretisk fysik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-229641.

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This is a report on research done in the field of mathematical physics. It is an investigation of the concept of the linking number between two simple and closed spatial curves. The linking number is a topological invariant with scientific applications ranging from DNA biology to Topological Quantum Field Theory. Our aim is to study C ̆alug ̆areanu’s theorem, also called White’s formula, which relates the linking number to the concepts of twist and writhe. We are interested in the limit of the two curves as they approach each other. To regulate this, we introduce a regularization method that u
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Khwaja, Sarah Farid. "Uniform asymptotic approximations of integrals." Thesis, University of Edinburgh, 2014. http://hdl.handle.net/1842/9662.

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In this thesis uniform asymptotic approximations of integrals are discussed. In order to derive these approximations, two well-known methods are used i.e., the saddle point method and the Bleistein method. To start with this, examples are given to demonstrate these two methods and a general idea of how to approach these techniques. The asymptotics of the hypergeometric functions with large parameters are discussed i.e., 2F1 (a + e1λ, b + e2λ c + e3λ ; z)where ej = 0,±1, j = 1, 2, 3 as |λ|→ ∞, which are valid in large regions of the complex z-plane, where a, b and c are fixed. The saddle point
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Kanduri, Srinivasa Rangarajan Mukhesh, and Vinay Kumar Reddy Medapati. "Evaluation of TDOA based Football Player’s Position Tracking Algorithm using Kalman Filter." Thesis, Blekinge Tekniska Högskola, Institutionen för tillämpad signalbehandling, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-16433.

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Time Difference Of Arrival (TDOA) based position tracking technique is one of the pinnacles of sports tracking technology. Using radio frequency com-munication, advanced filtering techniques and various computation methods, the position of a moving player in a virtually created sports arena can be iden-tified using MATLAB. It can also be related to player’s movement in real-time. For football in particular, this acts as a powerful tool for coaches to enhanceteam performance. Football clubs can use the player tracking data to boosttheir own team strengths and gain insight into their competing t
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Books on the topic "Gauss points"

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Nolte, David D. Geometry on my Mind. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805847.003.0005.

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This chapter reviews the history of modern geometry with a focus on the topics that provided the foundation for the new visualization of physics. It begins with Carl Gauss and Bernhard Riemann, who redefined geometry and identified the importance of curvature for physics. Vector spaces, developed by Hermann Grassmann, Giuseppe Peano and David Hilbert, are examples of the kinds of abstract new spaces that are so important for modern physics, such as Hilbert space for quantum mechanics. Fractal geometry developed by Felix Hausdorff later provided the geometric language needed to solve problems i
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Tretkoff, Paula. Appell Hypergeometric Functions. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691144771.003.0008.

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This chapter discusses the complete quadrilateral line arrangement, and especially its relationship with the space of regular points of the system of partial differential equations defining the Appell hypergeometric function. Appell introduced four series F1, F2, F3, F4 in two complex variables, each of which generalizes the classical Gauss hypergeometric series and satisfies its own system of two linear second order partial differential equations. The solution spaces of the systems corresponding to the series F2, F3, F4 all have dimension 4, whereas that of the system corresponding to the ser
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Kramer, Matthew H. Too Much from Too Little. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198777960.003.0004.

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Chapter 4 remains on the offensive against liberal neutralism, as it contests the efforts by Gerald Gaus to ground his libertarian version of neutralism on supposedly thin and uncontroversial premises. As will be seen, those putatively thin premises in fact depend on a number of deeply controversial assumptions. Although at least some of those assumptions are very likely false, this chapter does not need to establish their falsity. Instead, the point will be to reveal that liberal neutralism in one of its most prominent and perceptive instantiations is fundamentally non-neutral. In addition, t
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Bernard, Seth. Rome from the Sack of Veii to the Gallic Sack. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780190878788.003.0003.

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Romans held that the Republican city was built almost instantly following the earlier city’s catastrophic destruction by Gauls in 390 BCE. Furthermore, the huge costs of rebuilding were held to cause socioeconomic frictions, effacing any gains made by Rome’s conquest of Veii in 396. While Rome’s economy appears stagnant and limited through the mid-fourth century, the reality of the Gauls’ total destruction of Rome is unacceptable, even accounting for an up-to-date view of the archaeology. Thus, it becomes necessary to find another explanation for Rome’s failure to follow up on the conquest of
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Michel, Bierlaire. Optimization: Principles and Algorithms. EPFL Press, 2015. http://dx.doi.org/10.55430/6116v1mb.

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Every engineer and decision scientist must have a good mastery of optimization, an essential element in their toolkit. Thus, this articulate introductory textbook will certainly be welcomed by students and practicing professionals alike. Drawing from his vast teaching experience, the author skillfully leads the reader through a rich choice of topics in a coherent, fluid and tasteful blend of models and methods anchored on the underlying mathematical notions (only prerequisites: first year calculus and linear algebra). Topics range from the classics to some of the most recent developments in sm
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Book chapters on the topic "Gauss points"

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Kraus, Daniela, and Oliver Roth. "Critical Points, the Gauss Curvature Equation and Blaschke Products." In Blaschke Products and Their Applications. Springer US, 2013. http://dx.doi.org/10.1007/978-1-4614-5341-3_7.

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Iosevich, Alex, and Elijah Liflyand. "Geometry of the Gauss Map and Lattice Points in Convex Domains." In Decay of the Fourier Transform. Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0625-1_8.

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Argoubi, Mohamed Ali, Mohamed Trabelssi, and Molka Chiboub Hili. "An Adapted Formulation for the Locally Adaptive Weak Quadrature Element Method Using Gauss-Lobatto Points." In Applied Condition Monitoring. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-34190-8_33.

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Itoh, Mitsuki, and Hiroyuki Kamata. "A Study of Self-position Estimation Method by Lunar Explorer by Selecting Corresponding Points Utilizing Gauss-Newton Method." In Communications in Computer and Information Science. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-9198-1_25.

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Parikh, Amit K., and Jishan K. Shaikh. "Numerical Solution of Counter-Current Imbibition Phenomenon in Homogeneous Porous Media Using Polynomial Base Differential Quadrature Method with Chebyshev-Gauss-Lobatto Grid Points." In Advances in Intelligent Systems and Computing. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-9953-8_17.

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Pham, F. "Point de Vue Algebrique sur les Systemes Differentiels Lineaires." In Singularités des systèmes différentiels de Gauss-Manin. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4757-1457-9_2.

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Maisonobe, Ph, and J. E. Rombaldi. "Solutions du Systeme de Gauss-Manin D’un Germe de Fonction a Point Critique Isole." In Singularités des systèmes différentiels de Gauss-Manin. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4757-1457-9_5.

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Evensen, Geir, Femke C. Vossepoel, and Peter Jan van Leeuwen. "Maximum a Posteriori Solution." In Springer Textbooks in Earth Sciences, Geography and Environment. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-96709-3_3.

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AbstractWe will now introduce a fundamental approximation used in most practical data-assimilation methods, namely the definition of Gaussian priors. This approximation simplifies the Bayesian posterior, which allows us to compute the maximum a posteriori (MAP) estimate and sample from the posterior pdf. This chapter will introduce the Gaussian approximation and then discuss the Gauss–Newton method for finding the MAP estimate. This method is the starting point for many of the data-assimilation algorithms discussed in the following chapters.
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Ma, Tao, Xiaobin Li, and Tianyang Yu. "Simplification of Gauss Spherical Point Cloud Based on K-Mean." In Lecture Notes in Electrical Engineering. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-32-9686-2_33.

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Zhang, Zhiguo, Jinglin Li, Yin Liu, and Qing Xiao. "Design Launch Vehicle Vertical Landing Guidance Law Using a Gauss Point Discrete Convex Programming." In Lecture Notes in Electrical Engineering. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-8155-7_298.

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Conference papers on the topic "Gauss points"

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Zhou*, Zhen, and Xiaofeng Jia. "Element-Free Method with Gauss Points Partition." In Beijing 2014 International Geophysical Conference & Exposition, Beijing, China, 21-24 April 2014. Society of Exploration Geophysicists and Chinese Petroleum Society, 2014. http://dx.doi.org/10.1190/igcbeijing2014-173.

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Singh, Abhinoy Kumar, and Shovan Bhaumik. "Nonlinear estimation using transformed Gauss-Hermite quadrature points." In 2013 IEEE International Conference on Signal Processing, Computing and Control (ISPCC). IEEE, 2013. http://dx.doi.org/10.1109/ispcc.2013.6663394.

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Hager, William W., Jun Liu, Subhashree Mohapatra, Anil V. Rao, and Xiang-Sheng Wang. "A pseudospectral method for optimal control based on collocation at the Gauss points." In 2018 IEEE Conference on Decision and Control (CDC). IEEE, 2018. http://dx.doi.org/10.1109/cdc.2018.8618929.

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Zhang, Zhiguo, Ming Xiao, and Yuting Zhang. "Hybrid Gauss Points Integration Method for Explicit Dynamic FEM Analysis of Hydropower Underground Caverns." In 2011 Asia-Pacific Power and Energy Engineering Conference (APPEEC). IEEE, 2011. http://dx.doi.org/10.1109/appeec.2011.5748573.

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Marques da Silva, R. Pitanga, and A. Faro Orlando. "Metrological Considerations on Ultrasonic Flowmeters." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-38942.

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An ultrasonic flowmeter is a non-intrusive device that employs the transit time of an ultrasonic signal to measure gas and liquid flow rate. With no moving parts, they are extensively used to measure the flow rates of hydrocarbon gases in applications that require a wide range of pressure (e.g.: custody transfer of natural gas). But despite many technological advances, ultrasonic meters still need metrological assessment. Velocity profiles—fundamental to calculate flow rates—are constructed by making use of the well-known Gauss’ integration technique that depends, to a large extent, on a suita
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Seipp, Trevor G. "An Evaluation of the Protection Against Local Failure in ASME Section VIII, Division 2: Finite Element Model Considerations." In ASME 2013 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/pvp2013-98028.

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The local failure criteria was a relatively new inclusion in the 2007 Edition of ASME Section VIII, Division 2. The elastic-plastic evaluation criteria for this failure mechanism was brand new to the Code. This failure mechanism introduced to the Code the concept of local strain limits based on the triaxial state of stress. In implementing the evaluation of this failure mechanism, an interesting phenomenon was discovered. The triaxiality was to be calculated “everywhere” in the model, and used to create a limiting strain to be compared to the plastic strain at the point where said triaxiality
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Aigner, Martin, and Bert Juttler. "Gauss-Newton-type techniques for robustly fitting implicitly defined curves and surfaces to unorganized data points." In 2008 IEEE International Conference on Shape Modeling and Applications (SMI). IEEE, 2008. http://dx.doi.org/10.1109/smi.2008.4547958.

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Goldak, John A., and Mahyar Asadi. "The Evolution of Stress and Strain Tensors in Welds With Mitigation of Residual Stress and Distortion." In ASME 2011 Pressure Vessels and Piping Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/pvp2011-57957.

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By getting the data from an ordered set of Gauss points on the flow line of a material point that passes near the weld pool, the evolution of the stress/strain tensor fields is visualized. The principal plastic strain tensor, principal deviatoric stress tensor, hydrostatic stress and temperature are visualized. This is done for three weld distortion mitigation strategies: i) pre-bending by applying a prescribed displacement, ii) applying a tensile load to the weld and iii) applying side heaters to the weld. Visualizing the evolution of the principal stress and strain vectors gives interesting
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Francolin, Camila C., Hongyan Hou, William W. Hager, and Anil V. Rao. "Costate estimation of state-inequality path constrained optimal control problems using collocation at Legendre-Gauss-Radau points." In 2013 IEEE 52nd Annual Conference on Decision and Control (CDC). IEEE, 2013. http://dx.doi.org/10.1109/cdc.2013.6760913.

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Pasic, Hajrudin. "Efficient Solution of Stiff ODE by Implicit Collocation Method." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/mech-5989.

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Abstract When s-stage fully implicit collocation method is used to solve n–dimensional system of implicit ordinary differential equations (ODE) f(x, y, y’) = 0 the resulting algebraic system has a dimension sn. Its solution by Gauss elimination is expensive and requires s3n3 / 3 operations. In this paper we present an efficient algorithm which uncouples the algebraic system into a block-diagonal matrix with sn-dimensional blocks that may be solved in parallel. It applies to both explicit and implicit ODEs. The algorithm is formally different from the implicit Runge-Kutta (RK) method in that th
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Reports on the topic "Gauss points"

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Thompson, David C., Jeffrey N. Jortner, and Philippe Pierre Pebay. An Exodus II specification for handling gauss points. Office of Scientific and Technical Information (OSTI), 2007. http://dx.doi.org/10.2172/926808.

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