Results 1 to 10 of about 6,012 (266)
Journal of King Saud University: Engineering Sciences, 2000 Differential equations for which the zeros of Laguerre and Hermite polynomials are suitable collocation points are identified. It is shown that the equations representing tubular reactors with axial dispersion can be solved efficiently using the zeros of
M.A. Soliman
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A High-Efficiency Spectral Method for Two-Dimensional Ocean Acoustic Propagation Calculations
Entropy, 2021 The accuracy and efficiency of sound field calculations highly concern issues of hydroacoustics. Recently, one-dimensional spectral methods have shown high-precision characteristics when solving the sound field but can solve only simplified models of ...
Xian Ma +5 more
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Space–time spectral collocation method for Klein–Gordon equation
Journal of Algorithms & Computational Technology, 2021 By using the Legendre–Laguerre collocation method, we can construct a spectral collocation scheme to solve the Klein–Gordon equation on the half-line.
Ping Zhang, Te Li, Yuan-Hao Zhang
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Journal of Mechanical Engineering and Sciences, 2021 The collocation method is the method for the numerical solution of integral equations and partial and ordinary differential equations. The main idea of this method is to choose a number of points in the domain and a finite-dimensional space of candidate ...
Amin Ghannadiasl
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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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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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上海师范大学学报. 自然科学版, 2021 In this paper, we study the spectral collocation method for the initial value problems of ordinary differential equations. Based on Legendre-Gauss points, we propose the spectral collocation method for the initial value problems of first-order and second-
QIAN Yiyun +5 more
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Barycentric Rational Collocation Method for Burgers’ Equation
Journal of Mathematics, 2022 In this article, barycentric rational collocation method is introduced to solve Burgers’ equation. The algebraic equations of the barycentric rational collocation method are presented. Numerical analysis and error estimates are established. With the help
Qingli Zhao +3 more
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A new spline technique for the time fractional diffusion-wave equation
MethodsX, 2023 The current research article proposes an approximate solution of the fractional diffusion wave equation (FDWE) by using a new collocation method based on the cubic B-splines.
Suruchi Singh, Swarn Singh, Anu Aggarwal
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Journal of Mathematics, 2023 This paper deals with the numerical solution of a class of highly oscillatory Volterra integral equations by collocation methods based on the exponential fitting technique.
S. Khudhair Abbas +2 more
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