Academic literature on the topic 'Anomalous collocation'

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Journal articles on the topic "Anomalous collocation"

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Gu, Y. T., and P. Zhuang. "Anomalous sub-diffusion equations by the meshless collocation method." Australian Journal of Mechanical Engineering 10, no. 1 (January 2012): 1–8. http://dx.doi.org/10.7158/m10-722.2012.10.1.

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Tang, Zhuochao, Zhuojia Fu, HongGuang Sun, and Xiaoting Liu. "An efficient localized collocation solver for anomalous diffusion on surfaces." Fractional Calculus and Applied Analysis 24, no. 3 (June 1, 2021): 865–94. http://dx.doi.org/10.1515/fca-2021-0037.

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Abstract This paper introduces an efficient collocation solver, the generalized finite difference method (GFDM) combined with the recent-developed scale-dependent time stepping method (SD-TSM), to predict the anomalous diffusion behavior on surfaces governed by surface time-fractional diffusion equations. In the proposed solver, the GFDM is used in spatial discretization and SD-TSM is used in temporal discretization. Based on the moving least square theorem and Taylor series, the GFDM introduces the stencil selection algorithms to choose the stencil support of a certain node from the whole discretization nodes on the surface. It inherits the similar properties from the standard FDM and avoids the mesh generation, which is available particularly for high-dimensional irregular discretization nodes. The SD-TSM is a non-uniform temporal discretization method involving the idea of metric, which links the fractional derivative order with the non-uniform discretization strategy. Compared with the traditional time stepping methods, GFDM combined with SD-TSM deals well with the low accuracy in the early period. Numerical investigations are presented to demonstrate the efficiency and accuracy of the proposed GFDM in conjunction with SD-TSM for solving either single or coupled fractional diffusion equations on surfaces.
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Jiang, Wei, and Zhong Chen. "A collocation method based on reproducing kernel for a modified anomalous subdiffusion equation." Numerical Methods for Partial Differential Equations 30, no. 1 (October 28, 2013): 289–300. http://dx.doi.org/10.1002/num.21809.

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Pisetskaya, Olga, and Alexander Yarmolenko. "Problem of Determining a Geoid." Baltic Surveying 8 (October 31, 2018): 85–92. http://dx.doi.org/10.22616/j.balticsurveying.2018.011.

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The issue of the study of the problem of determining the geoid and quasi-geoid models is considered. Development of methods for constructing an exact geoid model using different dimensions. Analysis of the calculation of normal heights using satellite measurements, construction of geoid and quasi-geoid models by different methods is performed. Based on the results of the analytical review of existing methods for determining the geoid, it was proposed to use various data (geodetic heights, mixed gravity anomalies, anomalous potential) to construct this model, which allows building a model of a geoid with millimetre accuracy. The possibility of using the collocation method is considered. The task is to develop a methodology for constructing a geoid model using a network of low density gravity points and using pure and mixed gravity anomalies, which allows us to solve the problem of finding potential by solving the Laplace equation or using wavelets.
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Gaetani, Carlo Iapige De, Noemi Emanuela Cazzaniga, Riccardo Barzaghi, Mirko Reguzzoni, and Barbara Betti. "COVARIANCE FUNCTION MODELLING IN LOCAL GEODETIC APPLICATIONS USING THE SIMPLEX METHOD." Boletim de Ciências Geodésicas 22, no. 2 (June 2016): 342–57. http://dx.doi.org/10.1590/s1982-21702016000200019.

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Collocation has been widely applied in geodesy for estimating the gravity field of the Earth both locally and globally. Particularly, this is the standard geodetic method used to combine all the available data to get an integrated estimate of any functional of the anomalous potential T. The key point of the method is the definition of proper covariance functions of the data. Covariance function models have been proposed by many authors together with the related software. In this paper a new method for finding suitable covariance models has been devised. The covariance fitting problem is reduced to an optimization problem in Linear Programming and solved by using the Simplex Method. The procedure has been implemented in a FORTRAN95 software and has been tested on simulated and real data sets. These first tests proved that the proposed method is a reliable tool for estimating proper covariance function models to be used in the collocation procedure
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Hashmi, M. S., Zainab Shehzad, Asifa Ashraf, Zhiyue Zhang, Yu-Pei Lv, Abdul Ghaffar, Mustafa Inc, and Ayman A. Aly. "A New Variant of B-Spline for the Solution of Modified Fractional Anomalous Subdiffusion Equation." Journal of Function Spaces 2021 (July 1, 2021): 1–8. http://dx.doi.org/10.1155/2021/8047727.

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The objective of this paper is to present an efficient numerical technique for solving time fractional modified anomalous subdiffusion equation. Anomalous diffusion equation has its role in various branches of biological sciences. B-spline is a piecewise function to draw curves and surfaces, which maintain its degree of smoothness at the connecting points. B-spline provides an active process of approximation to the limit curve. In current attempt, B-spline curve is used to approximate the solution curve of time fractional modified anomalous subdiffusion equation. The process is kept simple involving collocation procedure to the data points. The time fractional derivative is approximated with the discretized form of the Riemann-Liouville derivative. The process results in the form of system of algebraic equations, which is solved using a variant of Thomas algorithm. In order to ensure the convergence of the procedure, a valid method named Von Neumann stability analysis is attempted. The graphical and tabular display of results for the illustrated examples is presented, which stamped the efficiency of the proposed algorithm.
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Alebrahim, Reza, Pawel Packo, Mirco Zaccariotto, and Ugo Galvanetto. "Wave propagation improvement in two-dimensional bond-based peridynamics model." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 235, no. 14 (January 20, 2021): 2542–53. http://dx.doi.org/10.1177/0954406220985551.

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In this study, methods to mitigate anomalous wave propagation in 2-D Bond-Based Peridynamics (PD) are presented. Similarly to what happens in classical non-local models, an irregular wave transmission phenomenon occurs at high frequencies. This feature of the dynamic performance of PD, limits its potential applications. A minimization method based on the weighted residual point collocation is introduced to substantially extend the frequency range of wave motion modeling. The optimization problem, developed through inverse analysis, is set up by comparing exact and numerical dispersion curves and minimizing the error in the frequency-wavenumber domain. A significant improvement in the wave propagation simulation using Bond-Based PD is observed.
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Sayevand, K., A. Yazdani, and F. Arjang. "Cubic B-spline collocation method and its application for anomalous fractional diffusion equations in transport dynamic systems." Journal of Vibration and Control 22, no. 9 (March 9, 2016): 2173–86. http://dx.doi.org/10.1177/1077546316636282.

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Xi, Qiang, Zhuojia Fu, Timon Rabczuk, and Deshun Yin. "A localized collocation scheme with fundamental solutions for long-time anomalous heat conduction analysis in functionally graded materials." International Journal of Heat and Mass Transfer 180 (December 2021): 121778. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2021.121778.

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Shivanian, Elyas, and Ahmad Jafarabadi. "Time fractional modified anomalous sub-diffusion equation with a nonlinear source term through locally applied meshless radial point interpolation." Modern Physics Letters B 32, no. 22 (August 7, 2018): 1850251. http://dx.doi.org/10.1142/s0217984918502512.

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In this paper, an alternative approach of spectral meshless radial point interpolation (SMRPI) is applied to the modified anomalous fractional sub-diffusion equation with a nonlinear source term in one and two dimensions. The time fractional derivative is described in the Riemann–Liouville sense. The applied approach is based on a combination of meshless methods and the spectral collocation techniques. The point interpolation method with the help of radial basis functions is used to construct the shape functions which act as basis functions in the frame of the SMRPI. It is proved that the scheme is unconditionally stable with respect to the time variable in [Formula: see text] and convergent with the order of convergence [Formula: see text], [Formula: see text]. In this work, the thin plate splines (TPS) are used as the radial basis functions. In order to eliminate the nonlinearity, a simple predictor–corrector (P–C) scheme is used. The results of numerical experiments are compared to the analytical solutions in order to confirm the accuracy and the efficiency of the presented scheme.
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Dissertations / Theses on the topic "Anomalous collocation"

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Arias, Badia Blanca. "Television dialogue and subtitling: a corpus-driven study of police procedurals." Doctoral thesis, Universitat Pompeu Fabra, 2017. http://hdl.handle.net/10803/404733.

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The specialised literature has suggested the intermediate position of television dialogue and subtitling along the continuum from spoken to written language (e.g. Díaz-Cintas 2003; Quaglio 2009; Forchini 2012). This dissertation adopts a corpus-driven methodology to tackle this issue from a descriptive, contrastive point of view. It reports on results of the analysis of the Corpus of Police Procedurals (CoPP), a corpus containing the transcribed dialogue (EN) and the DVD subtitling (ES) of fifteen episodes of three contemporary police procedurals, namely Dexter (Showtime, 2006), The Mentalist (Warner Bros, 2008), and Castle (ABC, 2009). A selection of syntactic and lexical features typically attributed to either poles of the continuum have been scrutinized from a quantitative and a qualitative approach. The statistical basis of the quantitative study allows identification of patterns of behaviour (i.e. norms) on the dialogue creators’ and the subtitlers’ part. Qualitative lexical analysis adapts the corpus pattern analysis (CPA) methodology proposed by Hanks (esp. 2004, 2013a), to date used for lexicographic purposes only, for the study of lexical exploitation, i.e. creativity, in this type of texts.
La bibliografía especializada ha sugerido la posición del diálogo televisivo y del subtitulado como géneros intermedios en el continuo oralidad-escritura (p. ej. Díaz-Cintas 2003, Quaglio 2009; Forchini 2012). Esta tesis adopta la metodología corpus-driven (‘dirigida por el corpus’) para abordar esta cuestión desde un punto de vista descriptivo y contrastivo, a partir del análisis del Corpus of Police Procedurals (CoPP), un corpus compilado para los propósitos de esta investigación que contiene, alineados, el diálogo (EN) y el subtitulado para DVD (ES) de quince capítulos de tres series de ficción policíaca procesal contemporáneas: Dexter (Showtime, 2006), El mentalista (Warner Bros, 2008) y Castle (ABC, 2009). Una selección de rasgos sintácticos y léxicos prototípicamente atribuidos a ambos polos del continuo han sido examinados tanto cuantitativa como cualitativamente. La base estadística de los análisis cuantitativos llevados a cabo revela patrones de comportamiento (normas) en los creadores del diálogo ficcional y en sus traductores. El análisis cualitativo del léxico adapta la metodología lexicográfica de análisis de patrones de corpus (CPA) propuesta por Hanks (esp. 2004, 2013a) para el estudio de la explotación léxica (creatividad) en este tipo de textos.
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Books on the topic "Anomalous collocation"

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D, Brown R., Welker Jean Edward, and Goddard Space Flight Center, eds. Analysis of altimetry over inland seas. Greenbelt, Md: National Aeronautics and Space Administration, Goddard Space Flight Center, 1989.

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Conference papers on the topic "Anomalous collocation"

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Wang, Mengxiang, Hongcheng Ma, and Junjie Hong. "Study for the Processing of the Chinese Verb-Noun Anomalous Collocations with Metaphors." In 2020 International Conference on Asian Language Processing (IALP). IEEE, 2020. http://dx.doi.org/10.1109/ialp51396.2020.9310475.

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Wang, Mengxiang, Hongcheng Ma, and Junjie Hong. "Study for the Processing of the Chinese Verb-Noun Anomalous Collocations with Metaphors." In 2020 International Conference on Asian Language Processing (IALP). IEEE, 2020. http://dx.doi.org/10.1109/ialp51396.2020.9310475.

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