ISOGEOMETRIC COLLOCATION METHODS [PDF]
Mathematical Models and Methods in Applied Sciences, 2010 We initiate the study of collocation methods for NURBS-based isogeometric analysis. The idea is to connect the superior accuracy and smoothness of NURBS basis functions with the low computational cost of collocation. We develop a one-dimensional theoretical analysis, and perform numerical tests in one, two and three dimensions.
F Auricchio +4 more
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Teaching medical terminology: comparing the effectiveness of lecture-based and corpus-assisted methods [PDF]
BMC Research NotesObjective This quasi-experimental study aimed to compare the effectiveness of lecture-based teaching with three corpus-assisted methods—concordancing, collocation, and frequency—in promoting retention of medical terminology among English as a foreign ...
Seyed Jafar Ehsanzadeh +3 more
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A local meshless radial basis functions based method for solving fractional integral equations [PDF]
Computational Algorithms and Numerical Dimensions, 2023 This paper presents a Localized Radial Basis Functions Collocation Method (LRBFCM) for numerically solving one and 2-dimensional Fractional Integral Equations (2D-FIEs).
Mehdi Radmanesh, Mohammad Ebadi
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Numerical Solution Of The Heat Equation By Cubic B-Spline Collocation Method
Eurasian Journal of Science and Engineering, 2023 This work proposes a numerical scheme for heat parabolic problem by implementing a collocation method with a cubic B-spline for a uniform mesh. The key idea of this method is to apply forward finite difference and Crank–Nicolson methods for time and ...
Hoshman Q. Hamad, Younis A. Sabawi
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Collocation Methods for High-Order Well-Balanced Methods for Systems of Balance Laws
Mathematics, 2021 In some previous works, two of the authors introduced a technique to design high-order numerical methods for one-dimensional balance laws that preserve all their stationary solutions. The basis of these methods is a well-balanced reconstruction operator.
Irene Gómez-Bueno +3 more
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Convergence of Collocation Methods for One Class of Impulsive Delay Differential Equations
Axioms, 2023 This paper is concerned with collocation methods for one class of impulsive delay differential equations (IDDEs). Some results for the convergence, global superconvergence and local superconvergence of collocation methods are given.
Zhiwei Wang, Guilai Zhang, Yang Sun
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Reduced Collocation Methods: Reduced Basis Methods in the Collocation Framework [PDF]
Journal of Scientific Computing, 2012 In this paper, we present the first reduced basis method well-suited for the collocation framework. Two fundamentally different algorithms are presented: the so-called Least Squares Reduced Collocation Method (LSRCM) and Empirical Reduced Collocation Method (ERCM). This work provides a reduced basis strategy to practitioners who {prefer} a collocation,
Yanlai Chen, Sigal Gottlieb
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Appell Type Changhee Polynomials Operational Matrix of Fractional Derivatives and its Applications
Eurasian Journal of Science and Engineering, 2022 In this paper, a fractional order differential equation (FDEs), will be solved numerically through a new approximative technique based on Appell type Changhee polynomials.
Abdulnasir Isah
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Noticing Collocation in Reading: A Multi-Case Study of Five Chinese EFL Learners [PDF]
International Journal of TESOL Studies, 2021 This study examines five Chinese EFL learners in a language institution regarding the effects of collocation noticing instructions in reading classes in terms of collocation competence and attitudes towards the noticing instructions.
Miaomiao Sun
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Non‐Stationary Probabilistic Tsunami Hazard Assessments Compounding Tides and Sea Level Rise
Earth's Future, 2022 Tides are often the largest source of sea levels fluctuations. Two new probabilistic tsunami hazard assessments (PTHA) methods are proposed to combine the tidal phase uncertainty at the moment of tsunami occurrence with other sources of uncertainty.
Ignacio Sepúlveda +4 more
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