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Recent developments of the Sinc numerical methods

Journal of Computational and Applied Mathematics, 2004
This paper gives a survey of recent developments of the Sinc numerical methods. A variety of Sinc numerical methods have been developed by Stenger and his school. For a certain class of problems, the Sinc numerical methods have the convergence rates of O(
Matsuo, Takayasu, Sugihara, Masaaki
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On The Solution A Of Second Order Singularly-Perturbed Boundary Value Problem By The Sinc-Galerkin Method

, 2005
Sinc methods are now recognized as an efficient numerical method for problems whose solutions may have singularities, or infinite domains, or boundary layers.
El-Gamel, Mohamed, Cannon, John R.
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Acoustic Green's functions using the Sinc-Galerkin method

, 2014
Green's functions represent the scattering behaviour of a particular geometry and are required to propagate acoustic disturbances through complex geometries using integral methods.
Dupère, Iain D. J., Harwood, Adrian R. G.; id_orcid   +1 more
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Solving two-dimensional fuzzy Fredholm integral equations via sinc collocation method

Advances in Difference Equations, 2020
In this paper, we present a numerical method to solve two-dimensional fuzzy Fredholm integral equations (2D-FFIE) by combing the sinc method with double exponential (DE) transformation.
Yanying Ma, Hu Li, Suping Zhang
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Numerical quadrature methods for singular and nearly singular integrals

, 2001
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis is concerned with the development, design, and analysis of simple and efficient numerical quadrature methods for integrals on finite intervals ...
Chunrungsikul, S., Chunrungsikul, Sumlearng   +1 more
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Designing the sinc neural networks to solve the fractional optimal control problem [PDF]

Iranian Journal of Numerical Analysis and Optimization
Sinc numerical methods are essential approaches for solving nonlinear problems. In this work, based on this method, the sinc neural networks (SNNs) are designed and applied to solve the fractional optimal control problem (FOCP) in the sense of the ...
R. Heydari Dastjerdi, G. Ahmadi
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Convergence of the Sinc method applied to Volterra integral equations

, 2010
A collocation procedure is developed for the linear and nonlinear Volterra integral equations, using the globally defined Sinc and auxiliary basis functions.
Rashidinia, J., Zarebnia, M.
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The Sinc-collocation method for solving the Thomas–Fermi equation

, 2013
A numerical technique for solving nonlinear ordinary differential equations on a semi-infinite interval is presented. We solve the Thomas–Fermi equation by the Sinc-Collocation method that converges to the solution at an exponential rate.
Parand, K., Dehghan, Mehdi, Pirkhedri, A.   +2 more
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Finite Difference and Sinc-Collocation Approximations to a Class of Fractional Diffusion-Wave Equations

Journal of Applied Mathematics, 2014
We propose an efficient numerical method for a class of fractional diffusion-wave equations with the Caputo fractional derivative of order α. This approach is based on the finite difference in time and the global sinc collocation in space.
Zhi Mao, Aiguo Xiao, Zuguo Yu, Long Shi
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Sinc Methods for Domain Decomposition

, 2008
Sinc basis functions form a desirable basis to use for solving singular problems via domain decomposition. This is because both the Sinc-Galerkin and sinc-collocation-methods converge exponentially, even in the presence of boundary singularities.
Nancy J. Lybeck, Kenneth L. Bowers
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